real world nonlinear mechanical applications

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Real World Nonlinear Mechanical Applications

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Until recently, most finite element analysis (FEA) applications undertaken by design engineers were limited to linear analysis which provides an acceptable approximation of real-life characteristics for most problems. However, occasionally more challenging problems arise that call for a nonlinear approach. In this webinar, you will hear about real-world nonlinear applications and case studies associated with Comsol’s and MSC Software’s customers. Viewers of this webinar will learn: – How nonlinearities in engineering systems arise from several sources including: – Material properties including multi-physics behavior – Geometry variations that involve large deformations and strains – Boundary conditions that could be continuously changing affecting the response

TRANSCRIPT

Page 1: Real World Nonlinear Mechanical Applications

Real World

Nonlinear Mechanical Applications

Page 2: Real World Nonlinear Mechanical Applications

This webinar will be available afterwards at

designworldonline.com & email

Q&A at the end of the presentation

Hashtag for this webinar: #DWwebinar

Before We Start

Page 3: Real World Nonlinear Mechanical Applications

Moderator

Laura Carrabine Design World

David Kan COMSOL

Presenters

Srinivas Reddy MSC Software

Page 4: Real World Nonlinear Mechanical Applications

Real World Nonlinear Mechanical

Applications

Srinivas Reddy

February 29, 2012

Page 5: Real World Nonlinear Mechanical Applications

Product Development Challenges

Can I build it? Is it durable? Is it crashworthy? Is it safe?

Can I test it? Will it perform to spec? Will it fail? Why did it fail?

Page 6: Real World Nonlinear Mechanical Applications

CAE to Improve Product Performance

Pipe impact

Sports equipment

Bolt Loading

Shearing/Tearing

Seal analysis

Brake disk

Page 7: Real World Nonlinear Mechanical Applications

CAE to Optimize Manufacturing Processes

Superplastic Forming Glass Forming

Forming Riveting

Cutting

Extrusion

Page 8: Real World Nonlinear Mechanical Applications

Nature is Nonlinear

F

u Displacement

Load

Nonlinear Behavior

Linear Behavior

u

F

s

e Strain

Nonlinear Behavior

Linear Behavior Stress

Yield Pt. F F

Page 9: Real World Nonlinear Mechanical Applications

Sources of Nonlinearities

• Materials o Metals, plastics, elastomers, powder metals,

shape memory

• Deformation o Buckling, folding

• Boundary conditions and loads o Contact, loads changing with deformation

• Multi-physics o Temperature effects, electromagnetics

Page 10: Real World Nonlinear Mechanical Applications

Challenges of Nonlinear Analysis

• Material modeling

• Large deformation,

distortions and rotations

• Contact

• Performance

• Robustness

Page 11: Real World Nonlinear Mechanical Applications

Material Modeling

• Metals

• Plastics

• Rubbers

• Shape memory alloys

• Composites

• Glass

• Concrete

• Powder materials

• Other non-metallic materials

• Customizable behavior

Aluminum Can Pull Tab

Plastic Bottle

Rubber Tire with Metal Rims

Composite Materials

Page 12: Real World Nonlinear Mechanical Applications

Material Failure

• Metals o Ductile damage

• Elastomers o Material weakening

• Composites o Delamination

• Crack propagation

• Concrete o Brittle failure, crushing

Delamination

Crack Propagation Fatigue crack growth

Gear failure

Page 13: Real World Nonlinear Mechanical Applications

Extreme Deformations

• Element formulations

• Appropriate stress/strain

measures

• Automatic local remeshing

o Mesh refining in high stress/strain

regions

• Automatic global remeshing

o Recreate a new mesh for the

entire part

Page 14: Real World Nonlinear Mechanical Applications

Contact

• General large sliding

contact with friction

• Intuitive and easy set up

• Automatic contact

detection

• Remeshing

• Multi-physics

Page 15: Real World Nonlinear Mechanical Applications

Performance

• Efficient solvers

• Parallel processing

o Excellent scaling

o Shared and distributed memory

• Domain decomposition method

o Linear scaling

o Benefit from networked desktop systems

o Solver large models

• Better use of hardware

o GPU

~75k Degrees of Freedom

MPI MPI MPI

Page 16: Real World Nonlinear Mechanical Applications

Case Study: Column Shifter Boot • Business:

Automotive supplier

• Challenge: Accelerate the boot development to satisfy the requirements of OEMs by evaluating more design variants in less time

• Solution: Design variants are studied with Marc to predict the tear areas. For some design variants the analysis results are verified with tests

• Value: A boot design that meets the OEMs requirement was found in less time at less cost

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Page 17: Real World Nonlinear Mechanical Applications

Case Study • Business:

Leading producer of aluminum for engineered products

• Challenge: Avoiding tensile & compressive instability in formed parts

• Solution: Iterative Blank Design using Inverse Method with Marc

• Value: Accurate & efficient prediction of proper designs for forming operation in less time

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Page 18: Real World Nonlinear Mechanical Applications

Summary

• Nonlinear analysis challenges o Materials,

o Large deformations and distortions

o Contact and boundary conditions

o Coupling

• Technologies o Materials models,

o Contact modeling ease

o Physics simulation

o Automatic remeshing

o Performance

Page 19: Real World Nonlinear Mechanical Applications

Nonlinear Mechanics in COMSOL A Multiphysics Perspective

David Kan

COMSOL, Inc.

February 29, 2012

Page 20: Real World Nonlinear Mechanical Applications

The Multiphysics Approach

Page 21: Real World Nonlinear Mechanical Applications

Structural Mechanics Branch

Page 22: Real World Nonlinear Mechanical Applications

Geometry

Materials

Contact

Sources of Mechanical Nonlinearity

st

s

e

Page 23: Real World Nonlinear Mechanical Applications

Geometric Nonlinearity

Small displacement

theory Green-Lagrange strains

Page 24: Real World Nonlinear Mechanical Applications

Nonlinear Constitutive Laws

Hyperelastic constitutive law • Rubber

• Biological tissues

s

e

Elasto-plastic constitutive law • Metals

• Plastics

• Soils and concrete in compression

s

e

Page 25: Real World Nonlinear Mechanical Applications

Hyperelastic Materials

Hyperelastic constitutive laws are defined

by the strain energy density, Ws • Neo-Hookean

• Mooney-Rivlin

• Murnaghan

s

e

Page 26: Real World Nonlinear Mechanical Applications

Elasto-plastic Materials

s

e el

sy

Elasto-plastic materials are defined by two mechanical

behaviors: elastic and plastic

Nonlinear constitutive laws are defined above the yield

stress

In the plastic regime, there are irreversible strains

Page 27: Real World Nonlinear Mechanical Applications

Contact

Source

Destination

How about

Multiphysics?

Page 28: Real World Nonlinear Mechanical Applications

The Metelli Experience

Hyperelastic material law

Nonlinear geometry

Contact everywhere

Multiphysics

Page 29: Real World Nonlinear Mechanical Applications

Multiphysics and Mechanics

• Creep

• Predefined couplings o Piezoelectric effects

o Acoustic-Structure Interaction

o Thermal-Electric-Structural Interaction

o Fluid-Structure Interaction

o Thermal-Structural Interaction

• General couplings

Page 30: Real World Nonlinear Mechanical Applications

Thank You!

Page 31: Real World Nonlinear Mechanical Applications

Questions?

Design World Laura Carrabine [email protected] Phone: 440.234.4531 Twitter: @wtwh_laurac

COMSOL David Kan [email protected] Phone: 310.441.4800 Twitter: @COMSOL_Inc

MSC Software Srinivas Reddy [email protected] Phone: 847.776.6740

Page 32: Real World Nonlinear Mechanical Applications

Thank You

This webinar will be available at designworldonline.com & email

Tweet with hashtag #DWwebinar

Connect with

Twitter: @DesignWorld

Facebook: facebook.com/engineeringexchange

LinkedIn: Design World Group

YouTube: youtube.com/designworldvideo

Discuss this on EngineeringExchange.com

Page 33: Real World Nonlinear Mechanical Applications