Simulation With Nonlinear Structural Materials Asme Webinar
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Transcript of Simulation With Nonlinear Structural Materials Asme Webinar
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Agenda
• Multiphysics Modeling
• Structural Modeling
– Nonlinear Materials
– Sources of Nonlinearity
– Modeling options
• Video demo
• Q&A
•
How To – Try COMSOL Multiphysics
– Contact Us
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Why Do We Model?
• Conception and understanding
• Design and optimization
• Testing and verification
Conjugate heat transfer simulation of
an aluminum heat sink.
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Modeling with COMSOL Multiphysics®
• Electrical, Mechanical, Fluid, and Chemical Simulations
• Multiphysics – Coupled phenomena
– Two or more physics phenomena that affect each other with no
limitation on which combinations or how many combinations
• Single physics
– One integrated environment – different physics and applications
– One day you work on Heat Transfer, next day Structural Analysis, then
Fluid Flow, etc.
– Same workflow for any type of modeling
• Enables cross-disciplinary product development and a unified
simulation platform
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Microwave Three-port Circulator
Porous Reactor
Radiation Pattern of a
Broadband Conical Antenna Fluid-Structure Interaction of a
Solar Panel
Acoustics Speaker Systems
Enables Technology Design Innovations
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Optimized Green Technology Design
• Solar panels are subject to wind loads
• Must be engineered to bend with the flow
• Physics involved
–
Fluid-Structural Interaction (FSI)• Fluid Flow
• Structural Displacement
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All Inclusive Interactive Modeling Environment
Model Builder
Provides instant
access to any part of
the model settings
• CAD/Geometry• Materials
• Physics
• Mesh
• Solve
• Results
Graphics
Ultrafast graphic presentation, stunning
visualization, and multiple plots
COMSOL Desktop™ Straightforward to
use, it gives full
insight and control
over the modeling
process
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Product Suite
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Constitutive Modeling
• Structural
– Linear elastic
– Linear viscoelastic
• Nonlinear
– Creep – Hyperelastic
– Elastoplastic
– Viscoplastic
• Geomechanics
– Concrete
– Rock
– Solid plasticity
s
e
s
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Nonlinear: Creep Models
• Norton
• Norton-Bailey
• Garofalo
• Nabarro-Herring• Coble
• Weertman
• Potential
• Volumetric
• Deviatoric
• User defined
Stress response of a
combined Norton and
Norton-Bailey material
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Nonlinear: Hyperelastic Models
• Neo-Hookean
• St Venant-Kirchhoff
• Money-Rivlin
– Two, five and nine parameters
• Yeoh
• Ogden
• Varga
• Arruda-Boyce
• Blatz-Ko
• Murnaghan
• User defined
Rubber velocity joint, model
courtesy of Metelli S.p.A.,
Italy
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Nonlinear: Elastoplastic Models
• Large strain plasticity
• Yield criteria
– Tresca
– von Mises
–
Hill plasticity• Hardening
– Isotropic
– Orthotropic
– Kinematic
•Plastic flow – Associated
– Non-associated
• User defined
Stress distribution
in a stent at balloon
inflation
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Nonlinear: Viscoplastic Model
• Anand
Viscoplastic creep in solder joints
under thermal loading
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• Bresler-Pister
• Willam-Warnke
• Ottosen
•
Material option – Tension cut-off
• Hoek-Brown
• Generalized Hoek-Brown
Geomechanics: Concrete and Rock Models
Stress distribution in
a concrete beam
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Geomechanics: Soil Plasticity Models
• Mohr-Coulomb
• Drucker-Prager
• Lade-Duncan
•
Matsuoka-Nakai• Cam-Clay
• User defined
• Material options
– Compressive cap
– Tension cut-off Stress distribution aroundan excavated tunnel
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Model Builder and Settings
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Study and Element Types
• Study types
– Stationary
– Transient
» Direct and modal
• Eigenfrequency
– Prestressed
• Frequency response
– Direct and modal
– Prestressed
• Linear Buckling
• Parametric
• Element types
– Solid
– Shell
– Membrane
–
Plate – Beam
– Truss
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CAD & Meshing Interoperability
3D CAD File Formats
ACIS®
Catia® V5
Creo™ Parametric
IGES
Inventor®Parasolid®
Pro/ENGINEER®
SolidWorks®
STEP
Meshing Products
Mimics®
+FE Module (Simpleware®)
Avizo®2D CAD File Formats
DXF
E-CAD File Formats
GDS/NETEX-G
ODB++
Mesh File Formats
NASTRAN
STL
VRML
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Multiphysics: Thermal Stress
• Multiphysics interface
• Coupled structural and
thermal analysis
• Mechanical boundaries
– Loads
– Constraints
• Thermal boundaries
– Conduction
– Heat flow
– Heat generation
– Radiation
Bipolar plate in a fuel cell: Thermal stresses in aconstrained plate
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Multiphysics: Joule Heating and Thermal
Expansion
• Multiphysics interface
• Physics coupling
– electric current conduction
– heat conduction
– heat generation
– structural stresses and strains
due to thermal expansion
Thermal actuator:
Temperature gradient
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Multiphysics: Piezoelectric Devices
• Multiphysics interface
• Constitutive modeling
– Piezoelectric
– Purely solid
– Purely dielectric
• Initial electric displacement
• Electrostatic boundary
• Piezoelectric dampingSandwich beam with piezoelectric ceramic actuator:Bending deflection due to shear stress
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Geometric Nonlinearity
• The response of the majority of the structures can be
analysed under the assumption of small displacement theory
• In some situations the change in the configuration cannot be
ignored – it is necessary to calculate the equilibrium with respect to the
deformed configuration
• The classical strain measures (engineering strains) are no
longer able to describe large displacements and/or largerotations
– new strain measures must be considered (Green-Lagrange strains)
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Strain Evaluation Options
• Small plastic strains
– Additive decomposition of
strains
• Large plastic strains
– Multiplicative decomposition
of deformation gradient.
Necking of an
elastoplastic metal bar
large
small
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Modeling Options
• Enable plasticity in sub-
domain
• Combine different material
nonlinearities
– Plasticity-creep
– Creep-creep
• Geometry directed material
orientation
Plasticity in an orthotropic container
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Creep and Viscoplasticity Options
• Often refer to as rate-
dependent plasticity
• Creep strains are added as
inelastic strains
• Combine predefined
materials
• Predefined temperature
dependency
• User defined creep
properties
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Soil Plasticity Options
• Elliptic cap
• Tension cut-off
• Dilatation angle in plastic
potential
• Parameter match to Mohr-
Coulomb
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Hyperelastic Energy Evaluation
• Nearly incompressible
materials
– Pressure (mixed formulation)
– Prevent locking
• Userdefined energy
functions
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User Defined Inelastic Strains
• Materials which exhibit a nonlinear stress-strain relation, even
at infinitesimal strains
– Brittle materials (ceramics, metal alloys)
– Ramberg-Osgood
– Damage function
• You can add distributed ODEs or PDEs to account for inelastic
strains
• Add inelastic strains with the Initial Stress and Strain node
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Parameterized Material Models
Temperature dependent plasticity in a pressure vessel
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Model Library
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Video Demo: Pressurized Orthotropic Container
• A container made of rolled steel is subjected to an internal
overpressure where one of the three material principal
directions has a higher yield stress than the other two
– Hill’s orthotropic plasticity is used to model the differences in yield
strength
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Q&A Session
Any questions not answered during the broadcast
will be answered via email.
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Product Suite
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Try COMSOL Multiphysics
• North America
– Pasadena, CA
– Downers Grove, IL
– Sugar Land, TX
– Tempe, AZ
– Danbury, CT
– Washington, DC
– Waltham, MA
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– Atlanta, GA
• Europe – Dresden, Germany – Madrid, Spain – Grenoble, France – Yverdon, Switzerland – Jena, Germany – Antwerpen, Belgium – Narvik, Norway – Berlin, Germany – Roma, Italy – Salerno, Italy
• Register to our free hands-onworkshops at
www.comsol.com/events
http://www.comsol.com/eventshttp://www.comsol.com/events
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Contact Us
• www.comsol.com
– User Stories
– Videos
– Model Gallery
– Discussion Forum
– Blog
– Product News
– General inquiries
– Technical support
http://www.comsol.com/mailto:[email protected]:[email protected]:[email protected]:[email protected]://www.comsol.com/