ansys best practices
TRANSCRIPT
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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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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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Warnings about loads or constraints notapplied because the node or element are
nonexistent
Undefined material properties
Large differences in stiffness
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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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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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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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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