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    2008 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary

    FEA Best Practices Seminar

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    Introduction

    FEA is not a black box; it

    is a tool that can be

    abused.

    It is an approximation

    Careful modeling and

    interpretation of results

    Garbage in, garbage out!

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    Example: Sleipner A Oil Platform

    Concrete structure with 24 cells,

    sank in 1991 during prep for deck

    installation

    Extensive FEA was performed, butinaccurate modeling of the tricells,

    the frame where three cells met, led

    to an underconservative design

    Shear stresses were

    underestimated by 47%

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    How can this be prevented?

    Thorough planning

    Careful modeling

    Accurate loading andmodeling of supports

    Thorough verification of

    results

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    Accurate Results Depend on:

    Understanding the physics of the problem

    Understanding the behavior of the elements

    Selecting the correct element, the number of

    elements, and their distribution Critically evaluating the results and making

    modification in the conceptual model to improve their

    accuracy

    Understanding the effects of the simplifications andassumptions used

    Using FEA wisely requires using best practices: this

    seminar presents many of these, and discusses how to

    develop best practices for your process.

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    Guidelines for Best Practices

    Department of Defenses Defense Modeling andSimulation Office

    Recommended practices for large-scale simulations

    Does not focus on first-principles directly

    American Institute of Aeronautics and Astronautics(AIAA) has the Guide for the Veri f icat ion andVal idat ion o f Compu tat ional Fluid Dynam icsSimulat ions

    FEA now has the recently formed ASME PTC 60

    committee on Verification and Validation Recently published Guide for Verification and

    Validation in Computational Mechanics

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    V&V 10-2006

    Provides structural mechanics community with:

    Common language

    Conceptual framework

    General guidance for implementing V&V NOT a step-by-step guide!

    Glossary of terms

    Figures illustrating a recommended overall approach

    Discussions of factors that should be considered

    Written as guidance to developing V & V processes

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    V&V 10-2006: Elements of V&V

    Intended Use

    Modeling Activities

    -Model Development-Verification

    -Predictive Calculations

    -Uncertainty assessment

    Experimental Activities

    -Experimental design-Initial and boundary conditions

    -Response measurements

    -Uncertainty assessment

    Validation

    Application

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    V & V

    Model is validated for a specified use

    e.g., for a certain range of loads

    Modeler should quantify the uncertainties

    Due to inherent variability of parameters Lack of knowledge of the parameters

    Model form

    Combine with calculation verification to get overall

    uncertainty estimate Not always possible to test the full range of interest

    Should still develop a plan of V&V

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    Best Practices Approach

    Plan your analysis

    Materials

    Model geometry

    Element choice

    Meshing

    Simplifications

    Supports and Loads

    Model Calibration

    Verification

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    Plan your analysis

    What are the design objectives?

    What do you need to know?

    Why are you doing FEA?

    What is the design criteria?

    What engineering criteria will be used to

    evaluate the design?

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    Plan your analysis

    What are you trying to find out? How much of the structure needs to be

    modeled?

    What are the boundary conditions and

    loads? Do you need to know stresses,

    displacements, frequency, buckling ortemperature?

    Get ballpark figures through hand-calculations or test data, so you have anidea of how the structure will behave andwhat numbers are reasonable.

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    Analysis Decisions

    Analysis type

    How to idealizematerial properties

    Geometry details/simplifications

    Element type/options

    What are the supports or constraints

    What are the loads

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    Type of analysis

    Is it static or dynamic?

    Are the loads applied gradually, or quickly?

    Vibrations? Seismic?

    Linear or nonlinear?

    Are there large deflections?

    Nonlinear materials?

    Contact?

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    Is it really static?

    Static analysis assumes that inertial and

    damping effects are negligible

    You can use time-dependency of loads as a

    way to choose between static and dynamicanalysis.

    If the loading is constant over a relatively long

    period of time, choose a static analysis.

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    Is it really static?

    In general, if the excitation frequency is less

    than 1/3 of the structures lowest natural

    frequency, a static analysis may be

    acceptable Cyclic loads can be modeled by a harmonic

    analysis rather than full transient

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    Linear vs. Nonlinear

    Nonlinear structural behavior is a changing

    structural stiffness

    Several types of nonlinearities:

    Geometric

    Material (e.g., plasticity, hyperelasticity)

    Changing Status (e.g., contact)

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    Geometric Nonlinearities

    Large deflections

    Large rotation

    Stress stiffening

    CablesMembranes

    Membrane underdeformation picks up

    bending stiffnessSpinning structures

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    Material Nonlinearities

    Plasticity

    Creep/Viscoelasticity

    Rate dependence

    Viscoplasticity

    Time dependent

    Hyperelasticity

    t

    e

    e

    Yield Point y

    Elastic Plastic

    Unloading

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    Changing Status Nonlinearities

    Contact

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    Contact

    Bonded vs. nonlinear contact

    Welded/glued parts

    Gaps in model

    Will parts separate from each other?

    Is delamination possible?

    Large vs. small sliding

    Determines type of element to use

    Determines type of contact

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    Contact

    Contact stiffness

    Is the contact hard, or is there some

    softening?

    Is contact pressure an important value?

    Does friction need to be modeled?

    What value for the coefficient?

    May need to run model with different values

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    Materials

    Material properties used will be approximate!

    Is the material homogenous (the same

    throughout)?

    Is it isotropic, orthotropic or anisotropic?

    Is temperature dependence important to the

    analysis?

    Is there rate or time dependence? Are composites used?

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    Material Information

    For linear isotropic material, need modulus of

    elasticity and Poissons ratio for a static

    analysis

    Need density for inertial loads For thermal analysis, need thermal

    conductivity

    Also need Coefficient of Thermal Expansionfor thermal stress

    Need test data for nonlinear materials

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    Material Data Sources

    Testing:

    Datapoint Labs: http://www.datapointlabs.com/

    Axel Products: http://www.axelproducts.com/

    Online:Matweb: http://www.matweb.com

    Material Data Network:

    http://matdata.net/index.jsp

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    Poissons Ratio

    Used to calculate shear modulus

    Controls expansion/contraction in direction

    perpendicular to load direction

    If using = 0.5, need to use element withhyperelastic ability

    For models that are constrained from

    expansion, the value of

    is very important!

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    Multiple Materials

    Model a boundary wherever

    material properties change

    Make sure the appropriate

    material property is

    assigned to each part of the

    model

    Consider interaction

    between properties

    Affects contact stiffness

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    Linear vs. Non-Linear Materials

    Will the stresses stay in the elastic region?

    Are you using a non-linear material, e.g.

    concrete, soil, rubber?

    Do you need to consider creep or fatigue?

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    Assess by

    undertaking

    linearanalysis

    START

    Is material

    behaviour

    linear?

    At operating

    conditions,

    does material

    exhibit rate

    dependency?

    Is

    deformation

    fully

    recoverable?

    Use

    viscoelastic

    model

    Is

    deformation

    fully

    reversible?

    Use rate

    independent

    plasticity

    Is there

    significant

    partial

    recovery?

    Use

    viscoplastic

    model

    Will loadingvary with

    time?

    Use a creep

    model

    Research the

    material

    Use

    hyperelastic

    model

    Does materialexhibit hydrostatic

    stress sensitivity?

    Use rate

    dependent

    yield model

    Use von

    Mises

    plasticity, or

    similar

    Use Mohr

    Coulomb orDrucker-

    Prager

    Material Non-linearity Flowchart,

    by Andrew Crocombe

    ??

    no

    no yesyes yes

    ??

    ??

    ??

    ??

    ??

    no no

    no

    no

    no

    yes

    yes

    yes

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    Linear or Nonlinear?

    If no stress-strain data is given, the program will assume the

    analysis is linear, and will use Youngs Modulus even if the part

    yields. This gives erroneous results when the loads cause the

    model to exceed yield.

    e

    Actual stress

    Linear stress

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    Non-Linear Materials

    Enter stress-strain curve using true-stress

    and true-strain

    true strain = ln(1 + engineering strain)

    true stress = eng. stress (1 + eng. strain)

    Graph stress-strain curve to check inputs

    Still need to enter Youngs modulus

    Make sure Youngs modulus matches yieldstress and strain

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    Units

    Many general purpose FEA codes allow the

    user to enter a consistent unit set

    Make sure forces, displacements, material

    properties have same units these determinethe units of the results.

    Use mass = force/area to get proper mass

    units

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    Consistent Unit Systems

    Mass unit kg kg lbf-s2/in slug

    Length unit m mm in ft

    Time unit s s s s

    Gravity const. 9.807 9807 386 32.2

    Force unit N mN lbf lbf

    Pressure/Modulus of

    Elasticity

    Pa kPa psi psf

    Density Unit kg/m3 kg/mm3 lbf-s2/in4 slug/ft3

    Mod. Elasticity Steel 0.2E12 0.2E9 30E6 4.32E9Mod. Elasticity Concrete 30E9 30000 4.5E6 648E6

    Density of Steel 7860 7.86E-6 7.5e-4 15.2

    Density of Concrete 2380 2.38E-6 2.2e-4 4.61

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    How to Check Units

    Set loads to zero and run. Check mass and

    center of mass.

    Or, turn on gravity and check reactions.

    If using small dimensions (e.g. microns,millimeters) use smaller base unit to reduce

    round-off problems

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    Create the Model--

    What should I model?

    Do I model the entire

    structure, or only the

    part that is of interest? Should I model bolts?

    How?

    Do I model the welds? What details should be

    included?

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    How was the part made?

    Casting can create variation in material

    properties

    Forging affects the state of strain

    Formed sheet metal can have significantresidual stresses in corners and bends

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    Variations and Tolerances

    Material variations and tolerances affect

    behavior probabilistic analysis tackles this

    Consider effects of tolerances on key

    locations

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    SimplificationBe Careful!

    Fillets can prevent singularities

    Holes, bosses, etc. in areas of high stress

    should be included

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    Singularities

    FEA uses the theory of elasticity: stress = force/area

    If the area=0, then stress=infinite

    Theory of FEA: as mesh is refined, the stresses

    approach the theoretical stress For a singularity, you would try to converge on infinity

    P = P/A

    As A

    0,

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    Singularities

    A stress singularity is a location in a finite elementmodel where the stress value is unbounded(infinite). Examples:

    A point load, such as an applied force or moment

    An isolated constraint point, where the reaction forcebehaves like a point load

    A sharp re-entrant corner (with zero fillet radius)

    Real structures do not contain stress singularities.They are a fiction created by the simplifying

    assumptions of the model. Point loads are best used for line elements

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    What do you do with Singularities?

    If they are located far away from the regionof interest, you can focus post-processingaway from that part of the model

    If they arelocated in the region of interest,you will need to take corrective action

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    How do you Correct for Singularities?

    Adding a fillet at re-entrant corners and re-

    runing the analysis.

    Replacing a point force with an equivalent

    pressure load.

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    How do you Correct for Singularities?

    Spreading out displacement constraints

    over a set of nodes.

    Turning on material plasticity

    Using Stress Linearization

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    Can I Use Symmetry?

    Symmetric structures can be modeled by a smallerrepresentative portion or cross-section

    Easier to create, can use a finer mesh

    Quicker run times can run multiple load scenarios,

    multiple configurations much quicker It can be used when geometry, material behavior and

    loading are symmetric about the same plane(s).

    Generally can NOT use symmetry in modal analysis,

    as the mode shapes are not always symmetric.

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    Symmetry

    Types of symmetry:

    Axisymmetry

    Rotational

    Planar or reflective

    Repetitive or translational

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    Symmetry, Interrupted

    Sometimes a small detail

    interrupts symmetry

    Can ignore it, or treat it assymmetric best to do a

    small test case if unsure

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    Superelement

    A superelement is a single element that has the samestiffness as a large portion of a structure

    Can model in detail the area of interest, then use oneor more superelements for the rest of the structure

    Can use superelements for repeating parts of astructure

    Also known as substructuring

    Requires more pre/post-processing

    The stiffness is exact, damping/mass is not

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    Modeling Bolts

    Solid model if you need stress in bolt

    Beam model if you dont

    Modeling threads increases model size may

    be too much detail

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    Bolt Pretension

    Affects stresses anddeflections

    Traditionally, imposed astrain on the bolt equal to thepretension strain (requires

    multiple solutions) Can instead use pretension

    element.

    ANSYS can automate boltpretension in either interface

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    Check geometry

    If importing model, do some checks of the

    dimensionsdont assume its right!

    Make sure the model is in the required units

    system If the model was created in a system different

    from the material data and loads, you need to

    scale the model by the proper conversion

    factor

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    Choice of elements

    2D vs 3D vs line

    2D elements are spatially

    3D, but in the model they

    are geometrically2D

    Element Order: linear,

    quadratic, polynomial

    Specialized elements?

    (composites, concrete,

    acoustics, coupled field)

    Geometric dimensionality--how the geometry is

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    Line Elements

    Beamelements have bending and axial

    strength. They are used to model bolts,

    tubular members, C-sections, angle irons,

    etc.

    Spar or Linkelements have axial

    strength. They are used to modelsprings, bolts, preloaded bolts, and truss

    members.

    Spr ing or Comb inat ionelements also have axial strength,but instead of specifying a cross-section and material

    data, a spring stiffness is entered. They are used tomodel springs, bolts, or long slender parts, or to replacecomplex parts by an equivalent stiffness.

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    Which Beam Element?

    Several types of beams are usually available

    Different beam theories are used

    Bending in BEAM188/189 is linear, unlike that in BEAM4; use

    several elements to model a member with 188 or 189

    BEAM44 and BEAM188/189 include shear deformation

    Some elements have special features:

    Tapered beams (BEAM44)

    Section offset (BEAM44, BEAM188/189)

    Section visualization, including stresses (BEAM44,BEAM188/189)

    Initial strain input (BEAM4, BEAM44)

    Initial stress input (BEAM188/189)

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    Shell Elements

    Can use a shell when the maximum unsupported dimension of the

    structure is at least 10 times the thickness

    Use to model thin panels or tubular structures

    Thick shell elements include transverse shear, thin shell elements

    ignore this.

    Shell elements can be 2D or 3D; 2D shells are drawn as a line, 3D as anarea

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    Shell Pitfalls

    Modeling tubes with straight-edged shells willresult in a faceted model

    The nodes are on the true surface, so thelengths of the elements are smaller than thecircumference inaccurate cross-section foraxial stress

    Pressure will produce spurious circumferentialbending moments at the nodes

    Use finer mesh, or use elements with midsidenodes

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    Shell Pitfalls

    When shell elements meet at a T,material is duplicated

    Can be easier to simply mesh theouter surface of a model, but theelement does not correspond to thecenter of the actual plate

    Local bending is now changed

    Can use shell offset toaccommodate this (SHELL91,SHELL99, SHELL181)

    Connecting shell and solidelements tricky

    Different DOFs

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    Solid-Shell Element

    3D Solid brick (or prism)element without bendinglocking

    Nodes have same DOFs as3D elements can connectthin and thick structureswithout constraint equationsor MPCs

    Can model varying thicknessbodies without usingmultiple real constants

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    2D Solid Elements

    Used to model a cross-section of solid objects.

    Must be modeled in the global Cartesian X-Y plane.

    All loads are in the X-Y plane, and the response(displacements) are also in the X-Y plane.

    Element behavior may be one of the following: plane stress

    plane strain

    generalized plane strain

    axisymmetric axisymmetric harmonic

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    Plane Stress

    Assumes zero stress in the Z direction.

    Valid for components in which the Z dimension is

    smaller than the X and Y dimensions.

    Z-strain is non-zero.

    Optional thickness (Z direction) allowed. Used for structures such as flat plates subjected

    to in-plane loading, or thin disks under pressure

    or centrifugal loading.

    Y

    XZ

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    Plane Strain

    Assumes zero strain in the Z direction.

    Valid for components in which the Z

    dimension is much larger than the X and

    Y dimensions.

    Z-stressis non-zero.

    Used for long, constant cross-section

    structures such as structural beams.

    YX

    Z

    G S

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    Generalized Plane Strain

    Assumes a finitedeformation domainlength in Z directioninstead of infinite

    Gives more practicalresults for when the Zdirection is not longenough

    The deformation domain or structure is formedby extruding a plane area along a curve with a

    constant curvature.

    A i t

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    Axisymmetry

    Assumes that the 3-D model andits loading can begenerated by revolving a 2-D section 360 about theY axis.

    Axis of symmetry must coincide with the global Y

    axis. Y direction is axial, X direction is radial, and Z

    direction is circumferential (hoop) direction.

    Hoop displacement is zero; hoop strains and

    stresses are usually very significant. Used for pressure vessels, straight pipes, shafts, etc.

    A i t i itf ll i ANSYS

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    Axisymmetric pitfalls in ANSYS

    Check keyopt(3) setting

    otherwise, model will be plane

    stress

    Pressures are input as force/area

    Point loads are the total force for

    the circumference

    All nodes must have +X

    coordinate

    Nodes at X=0 need to have UX

    constrained

    3D S lid El t

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    3D Solid Elements

    Used for structures which, because of

    geometry, materials, loading, or detail of

    required results, cannot be modeled with

    simpler elements. Also used when the model geometry is

    transferred from a 3-D CAD system, and a

    large amount of time and effort is required to

    convert it to a 2-D or shell form.

    El t O d

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    Element Order

    Element order refers to the polynomial order ofthe elements shape funct ions.

    What is a shape function?

    It is a mathematical function that gives the shapeof the results within the element. Since FEA solves

    for DOF values only at nodes, we need the shapefunction to map the nodal DOF values to pointswithin the element.

    The shape function represents assumed behavior

    for a given element. How well each assumed element shape function

    matches the true behavior directly affects theaccuracy of the solution, as shown on the nextslide.

    C i El t O d

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    Comparing Element Order

    Quadratic distribution of

    DOF values

    Actual quadratic

    curve

    Linear approximation(Poor Results)

    Linear approximation

    with multiple elements

    (Better Results)

    Quadratic approximation

    (Best Results)

    Li Q d ti

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    Linear vs. Quadratic

    Linear elements

    Can support only a linear

    variation of displacement and

    therefore (mostly) only a constant

    state of stress within a single

    element.

    Highly sensitive to elementdistortion.

    Acceptable if you are only

    interested in nominal stress

    results.

    Need to use a large number of

    elements to resolve high stress

    gradients.

    Quadratic elements

    Can support a quadratic variation

    of displacement and therefore a

    linear variation of stress within a

    single element.

    Can represent curved edges and

    surfaces more accurately thanlinear elements. Not as sensitive

    to element distortion.

    Recommended if you are

    interested in highly accurate

    stresses.

    Give better results than linear

    elements, in many cases with

    fewer number of elements and

    total DOF.

    S l ti El t O d

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    Selecting Element Order

    When you choose an element type, you areimplicitly choosing and accepting the elementshape function assumed for that elementtype. Therefore, check the shape function

    information before you choose an elementtype.

    Typically, a linear element has only cornernodes, whereas a quadratic element also has

    midside nodes.

    Selecting Element Order

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    Selecting Element Order

    For shell models, the difference between linear andquadratic elements is not as dramatic as for solidmodels. Linear shells are therefore usually preferred.

    Besides linear and quadratic elements, a third kind is

    available, known as p-elements. P-elements cansupport anywhere from a quadratic to an 8th-ordervariation of displacement within a single element andinclude automatic solution convergence controls.

    Mesh Considerations

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    Mesh Considerations

    For simple comparison,coarse mesh is OK

    For accurate stresses, finer

    mesh is needed

    Need finer mesh for fatigue

    Invest elements at locations of

    interest

    Avoid connecting quadratic

    and linear elements

    Mesh Distortion

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    Mesh Distortion

    Elements distorted from their basic shapecan be less accurate

    Greater the distortion, the greater the error

    Four types of distortion:Aspect ratio (elongation)

    Angular distortion (skew and taper)

    Volumetric distortion

    Mid node position distortion (higher orderelements)

    Mesh Distortion

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    Mesh Distortion

    Most FEA packages have distortion

    checks, and will warn you if elementsexceed those limits

    These limits are subjective, and a badelement might not give erroneous results,

    and a good element might not giveaccurate results!

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    Connecting Different Element Types

    Meshing your entire structure is not alwaysfeasibleits nice to model some parts withsimpler elements

    Can embed shells in solid elements to

    connect them, but be careful of doubling thestiffness better to use MPC connection orSolid-Shell element

    Use constraint equation or MPC to connectshell to solid, beam to solid or beam to shell.

    Connecting Different Element T pes

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    Connecting Different Element Types

    Constraint equation and MPCs allows singlenode to drive a set of nodes so that

    moments are transferred properly

    Check Real Constants

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    Check Real Constants

    Beams often have a strong and weak axisimportant to have proper stiffness resisting

    loads

    In ANSYS, use /eshape,on to turn on beamand shell cross-sections

    Check shell normals

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    Check shell normals

    Shells have a bottom, middle andtop

    Bending through thickness meansstress on top and bottom will differ

    Want all tops in the same direction, sothat the stresses make sense

    Positive pressure is oriented oppositeto the element normal (i.e., into theelement)

    /PSYM,ADIR to view normals

    Element connectivity

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    Element connectivity

    Make sure there are no cracksin the model

    Turn on edge plotting

    Apply a dummy load and solve,

    then view the displacements Can also use a shrink plot to

    check connectivity

    Can add density and do a modalanalysis-- mode shapes will showcracks

    Mesh Convergence

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    Mesh Convergence

    FEA Theory: as mesh gets finer, it gets closer to realanswer

    Mesh once, solve, mesh finer, solve again; if results

    change within a certain percentage, the mesh is

    converged, otherwise, repeat Perform a mesh convergence on a problem with a

    known answer to get a better understanding

    Displacement results converge faster than stress

    results

    Boundary conditions

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    Boundary conditions

    Boundary conditions provide the knownvalues for the matrix solution

    You always have to include them even for a

    balanced pressure situation Can use symmetry to support a balanced load

    situation

    Can use weak springs to support a balanced

    structure

    Boundary conditions

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    Boundary conditions

    Do the boundary conditionsadequately reflect real life?

    There are no single-point or linesupports; these areapproximations we use. Reallife has some small area

    Be wary of singularities

    If deformation of support isn'tnegligible, model support with

    coarse elements and usebonded contact to tie support tomodel

    Be Careful about Fixed Supports

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    Be Careful about Fixed Supports

    The Poisson effect: whensomething is pulled in onedirection, it shrinks in theperpendicular directions

    A fixed support will prevent thisshrinking, which leads to asingularity

    Is there a potential of lift-off atthe support? Might need to model

    support and contact

    Symmetric and Antisymmetric Constraints

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    Symmetric and Antisymmetric Constraints

    Symmetry BC: Out-of-planedisplacements and in-plane rotationsare fixed.

    Antisymmetry BC: In-planedisplacements and out-of-planerotations are fixed.

    Many packages have a singlecommand to apply these constraints

    Symmetric Constraints

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    Symmetric Constraints

    plane of symmetry

    deflected shape

    Antisymmetric Constraints

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    Antisymmetric Constraints

    deflected shape

    Prevent rigid body motion

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    Prevent rigid body motion

    For structural static, need to constrain fortranslation and rotation.

    Even though the beam below is in

    equilibrium, you need a constraint in thehorizontal direction, or you will get pivot

    errors

    Pivot Errors?

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    Pivot Errors?

    The program doesnt have any known valuesfor displacements in that direction, so it cant

    solve the matrix

    Prevent Rigid Body Motion

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    Prevent Rigid Body Motion

    Set loads to zero and runif model doesnt converge,or results look odd, you have rigid body motion.

    Or, add density and do modal analysis

    Loading

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    Loading

    Do the loads match real life?

    There are no point loads in real life, just really

    small areas with pressures on them

    Investigate all possible combinations of loads Make sure you have density entered if turning

    on gravity or doing modal analysis

    Might need to model load application

    device/structure

    Loading

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    Loading

    Consider range of load values

    Parametric analysis of different values

    Consider long-term vs. short-term loads

    Long-term analyzed for creep and fatigueShort-term analyzed for yielding

    Think about the load path through the

    structure

    St. Venants Principle

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    St. Venant s Principle

    Two sy stems of loads w hich are stat ical lyequivalent w i l l prod uce approx imately the same

    effect at locat ions remo te from the loads.

    This can be used to simplify loads orstructures

    Check Reactions

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    C c c s

    For statics, sum of forces = sum of reactions

    Can identify misplaced loads, incorrect units,

    geometry mistakes, typos

    Check reactions at contact pairs

    Check for buckling

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    g

    Occurs when part of structure is slender, andunder compressive stress (will not happen

    under tension).

    Linear buckling (eigenvalue) isUNCONSERVATIVE!

    Nonlinear buckling is more accurate, but also

    more difficult (need to use full Newton-

    Raphson method)

    Watch Your Errors and Warnings

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    g

    Warnings about loads or constraints notapplied because the node or element are

    nonexistent

    Undefined material properties

    Large differences in stiffness

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    g

    Possible source of problem when the ratio ofthe maximum and minimum element stiffness

    coefficients should be less than 1e8

    Otherwise, the stiffer part of the model willcrash through the less stiff part

    Can indicate problem with inputs

    Evaluating Results

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    g

    Stress criteria

    Factor of safety

    Is stress greater than yield?

    Dont assume the results are correct! Are the displacements in the expected range?

    Compare to tests or theory, when possible

    Does the displaced shape make sense? Check out stress hotspots

    Evaluating Results

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    g

    Use linearization, if needed

    Check the whole modeldont focus so much

    on one spot, you miss a problem elsewhere

    Check reactions against applied loads Check contact pairs for penetration

    Check element error to assess mesh

    Plot unaveraged stresses

    Results Verification

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    Use deformed animation to check loads andlook for cracks in model

    Combined load behavior is sometimes

    difficult to predict consider separating eachload into its own load case to check

    Do Test Cases

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    Do a simplified case to learn about behavior

    Do 2D instead of 3D, beam instead of 3D

    Bonded contact instead of frictional

    Elastic instead of plastic or hyperelasticHand calcs!

    Find pitfalls BEFORE running a model for

    several days

    Sensitivity Analysis

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    y y

    Process of discovering the effects of modelinput parameters on response

    Can provide insight into model

    characteristics Can assist in design of experiments

    Should be subject to same scrutiny as all

    V&V

    Sensitivity Analysis

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    A probabilistic analysis using yourmodel and statistical data of input

    parameters to see how much

    variation there is in output

    Generally requires several analysesvery time consuming

    Positive sensitivity indicates that

    increasing the value of the

    uncertainty variable increases thevalue of the result parameter

    Global Sensitivity

    Local Sensitivity

    Calibration

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    Also known as model updating, modeltuning, parameter calibration

    Adjust for

    Compliance in jointsDamping

    Unmeasured excitations

    Uncertain boundary conditions

    Material variations

    Model Calibration

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    Determines models fitting ability, NOTpredictive capability

    Use tests or hand calcs to tweak the model

    Tests used for calibration CANT be used forvalidation

    Mirror the test behavior as close as possible

    when calibrating

    Calibration

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    Calibrate against

    Test data

    Field data

    Engineering experienceHand calculations

    Simplified analyses

    Validation

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    Making sure the FE model will be accurate fora specified range of loads

    Use experimental data (different from

    calibration data) Engineering experience

    Hand calculations

    Dont just assume the model is correct!!

    Document Everything!

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    Detail all decisions made

    Explain simplifications

    Detail loads and supports

    Document material data Document test data

    Document as much results data as possible

    List reaction forcesStresses

    Displacements

    Build a Best Practices Library

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    Create documentationfor common analysis

    problems

    Detail geometry, mesh

    requirements, loading,boundary conditions,

    materials, results

    analysis

    Library Example 1:

    Ball Joint

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    Ball Joint

    ANALYSIS STANDARD FOR LBF, INC.SERIES 5a BALL JOINTS

    Geometry

    All models shall be analyzed as symmetry for efficiency of solution.

    Mesh

    The maximum element size shall be nogreater than the base pipe thicknessdivided by five (t/5). Either quadratictetrahedral elements (10-noded),quadratic brick elements (20-noded)or linear brick elements (8-noded)shall be used.

    Library Example 1 (contd):

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    Material Properties

    Structural Steel material properties shall be usedas below:

    Youngs Modulus 2.9 E7 psi

    Poissons Ratio 0.3

    Mass Density 0.284 lbm/in^3

    Tensile Yield 36,000 psi

    Compressive Yield 36,000 psi

    Tensile Ultimate 66,000 psi

    Boundary Conditions

    The model shall have a symmetric boundarycondition on the faces along the two cut planes.The bottom surface of the base pipe shall have avertical-only support, and the bottom face of theflange on the top pipe shall have a vertical-onlysupport.

    Library Example 1 (contd):

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    Pressure LoadsApply the internal pressure on the

    inside faces shown below.

    Results

    At minimum, the von Mises stress, vonMises strain and total deformationneed to be determined. The factor ofsafety should be determined, andshall not be less than 2.5.

    Library Example #2:

    Bolted Flange

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    g

    ACE, Inc., Best Practices Library:

    Bolted Flange Problem

    Geometry

    All models shall be analyzed as 1/2symmetry for efficiency of solution.

    Mesh

    The maximum element size shall be no

    greater than the pipe thickness dividedby three (t/3). Either quadratictetrahedral elements (10-noded),quadratic brick elements (20-noded) orlinear brick elements (8-noded) shall beused.

    The contact between the bolts and nutsshould be set to Bonded. Contactbetween the gasket and hub should be

    set to Frictionless, and all other contactshould be set to Rough.

    Library Example #2 (contd):

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    Material Properties

    Structural Steel material properties shall be used as below for the hub, ring, nuts andbolts:

    Youngs Modulus 2.9 E7 psi

    Poissons Ratio 0.3

    Mass Density 0.284 lbm/in^3

    Tensile Yield 36,000 psi

    Compressive Yield 36,000 psi

    Tensile Ultimate 66,000 psi

    Rubber material properties shall be used for the gasket. Hyperelastic modeling is notrequired, and you may treat the gasket material as a simple linear-elastic material asbelow:

    Youngs Modulus 1.5 E4 psi

    Poissons Ratio 0.3

    Mass Density 0.150 lbm/in^3

    Tensile Yield 15,000 psi

    Compressive Yield 15,000 psiTensile Ultimate 20,000 psi

    Library Example 2 (contd):

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    Boundary Conditions

    The model shall have a symmetric boundary

    condition on the faces along the two cutplanes. The bottom surface of the base pipeshall have a fixed support. The top flangesurface should be fixed for the first(pretension) load step, then removed for thesecond load step.

    Loads

    Apply bolt pretension to all bolts in the first step.

    Apply axial and bending moment to the topface of the upper flange in the second step.The moment should be in the cut-plane.

    Results

    At minimum, the von Mises stress, von Misesstrain and total deformation need to bedetermined. The factor of safety should bedetermined, and shall not be less than 2.5.

    Using the WB Wizard for Best Practices

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    Edit an existing wizard withthe editor

    Add required steps (to avoid

    forgotten loads)

    Add pictures to show where

    loads and supports should beapplied

    Add alerts to flag when

    design criteria are not met

    Example: Ball Joint Best Practice in Wizard

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    Checklist for Success

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    Gravity pushes downwardSpinning objects move radially outward

    Heated objects grow

    No real object has 1,000,000 psi stress

    Axisymmetric objects rarely have 0 hoopstress

    A bending load causes compressive stress

    on one side, tensile stress on the other

    Checking the Mesh

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    Can use error estimationPlot unaveraged stress and compare to

    averaged stress to check mesh

    Or, do a mesh convergence study

    Sanity Check: Peer Review

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    Having a fellow engineer review your analysis can help you catchproblems in the model.

    Can be informal, one-on-one, or a formal review, with a teamlooking over the analysis.

    Either way, it's better to be embarrassed in front of yourcolleagues, than in front of your customer!

    "The Cardinal Sins of FEA"by Jim Wood, University of Strathclyde, Glasgow

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    1. Forgetting to ratio the load(s) correctly when usingsymmetry

    2. Not using a consistent set of units, e.g. Tonne/mm3density

    3. Incorrectly mixing units in a model, e.g., inputtingplate thickness in mm and building model inmeters.

    4. Trying to constrain or load degrees of freedom thatnodes don't have

    5. Quoting FE stresses at re-entrant corners andpoint loads

    "The Cardinal Sins of FEA", cont'd

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    6. Trying to analyze a 'flying structure', including a lack ofunderstanding as to why a constraint is needed in a directionfor which there is no out-of-balance force

    7. Not considering convergence issues or verification checks

    8. Getting the axis wrong in axisymmetric models

    9. Not applying a degree of common sense to the results: doesit look sensible, are the "field stresses" correct, is the masscorrect

    10. Relying wholly on graphics and not double-checking inputdata that cannot always be shown in graphical form(materials, beam properties)

    "The Cardinal Sins of FEA", cont'd

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    11. Not archiving model files12. Carrying out analyses when you have little or no

    understanding of the theoretical underpinnings of theanalysis type

    13. Carrying out analyses when you have little or nounderstanding of the enginering significance of the resultsproduced

    14. Underestimating the resources and timescale required forjobs

    15. Deliberately selecting views on fringe plots that avoid hot-spots caused by approximations in the model, but have no

    relevance to the areas of interest.

    "The Cardinal Sins of FEA", cont'd

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    16. Actually 'painting out' hotspots with a paint program whereyou can't avoid the view.

    17. Not proof-reading your reports properly because of timepressures.

    18. Not listing the assumptions made in the analysis.

    19. Not making it clear where your responsibilities lie and whatyou are accepting liability for. E.G., not accepting designresponsibility for products simply being analyzed; notaccepting responsibility for ensuring that what is built waswhat you analyzed.

    20. Problems in ascertaining the boundary conditions at the

    interface between structures or components being suppliedby different contractors.

    "The Cardinal Sins of FEA", cont'd

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    21. Overstating your capabilities and perhaps thesoftware's to potential clients.

    22. Quoting results to an accuracy which is notwarranted.

    23. Accepting bad meshes because of timescales,sheer recklessness or ignorance.

    24. Including too much detail and/or too manyelements in a model, without question.

    25. Using averaged or continuous tone fringe plots

    when assessing results.

    "The Cardinal Sins of FEA", cont'd

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    26. Thoughtlessly solving the idealizedproblem and not the real one, including not

    considering the scatter inherent in

    materials properties, loads, geometry, etc.

    27. Simplifying material constitutive laws,

    without consideration of the implications.

    28. Making the display color of your finite

    elements black with a black background.

    Code Guidance on using FEA

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    ASME VIII Div2 2007: The Committee recognizes that tools and techniques

    used for design and analysis change as technologyprogresses and expects engineers to use goodjudgement in the application of these tools

    The Code neither requires nor prohibits the use ofcomputers. However, designers and engineers usingcomputer programs for design or analysis arecautioned that they are responsible for all technical

    assumptions inherent in the programs they use andthey are responsible for the application of theseprograms to their design.

    References

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    K.A. Honkala, Adequate Mesh Refinement forAccurate Stresses, NAFEMS Benchmark, p. 4-9,January 2000

    D. Baguley & D. R. Hose, How to Model & InterpretResults Part 3: Validation & Interpretation

    Considerations, NAFEMS Benchmark, p. 4-8,January 2001

    G. Roth, Pitfalls in Determining Analysis Accuracy,ANSYS Solu tion s, Vol. 2, No. 3, p. 30-31, Summer

    2000

    References

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    D. Baguley & D. R. Hose, How to Model w i thFini te Elements, NAFEMS, 1997