Expand IntroductionIntroduction
Expand AdministrationAdministration
Expand User InterfaceUser Interface
Expand SolidWorks FundamentalsSolidWorks Fundamentals
Expand Moving from 2D to 3DMoving from 2D to 3D
Expand AssembliesAssemblies
Expand CircuitWorksCircuitWorks
Expand ConfigurationsConfigurations
Expand SolidWorks CostingSolidWorks Costing
Expand Design CheckerDesign Checker
Expand Design Studies in SolidWorksDesign Studies in SolidWorks
Expand Detailing and DrawingsDetailing and Drawings
Expand DFMXpressDFMXpress
Expand DriveWorksXpressDriveWorksXpress
Expand FloXpressFloXpress
Expand Import and ExportImport and Export
Expand Model DisplayModel Display
Expand Mold DesignMold Design
Expand Motion StudiesMotion Studies
Expand Parts and FeaturesParts and Features
Expand RoutingRouting
Expand Sheet MetalSheet Metal
Collapse SimulationSimulation
Welcome to SolidWorks Simulation Help
Accessing and Using Help
Legal Notices
SolidWorks Simulation Reference
Expand SolidWorks Simulation FundamentalsSolidWorks Simulation Fundamentals
Expand Analysis BackgroundAnalysis Background
Expand Simulation OptionsSimulation Options
Expand Simulation StudiesSimulation Studies
Expand Submodeling StudiesSubmodeling Studies
Expand Design StudiesDesign Studies
Expand Workflow for Performing 2D SimplificationWorkflow for Performing 2D Simplification
Expand Composite ShellsComposite Shells
Expand Loads and RestraintsLoads and Restraints
Expand MeshingMeshing
Expand Contact AnalysisContact Analysis
Collapse Simulation MaterialsSimulation Materials
Material Properties in Simulation
Applying a Material
Removing a Material
Expand Defining Stress-Strain CurvesDefining Stress-Strain Curves
Defining Temperature-Dependent Material Properties
Creating a Custom Material
Creating a Material Library
Managing Favorite Materials
Using Drag and Drop to Define Materials
Expand Applying Material from the SolidWorks Materials Web PortalApplying Material from the SolidWorks Materials Web Portal
Expand Material Dialog BoxMaterial Dialog Box
Collapse Material ModelsMaterial Models
Collapse Elasticity ModelsElasticity Models
Assumptions of Linear Elastic Material Models
Expand Isotropic and Orthotropic MaterialsIsotropic and Orthotropic Materials
Nonlinear Elastic Model
Expand Plasticity ModelsPlasticity Models
Expand Hyperelasticity ModelsHyperelasticity Models
Viscoelastic Model
Creep Model
Expand Nitinol Material ModelNitinol Material Model
Expand ParametersParameters
Expand Analysis Library FeaturesAnalysis Library Features
Expand Viewing Analysis ResultsViewing Analysis Results
Expand Study ReportsStudy Reports
Expand Factor of Safety CheckFactor of Safety Check
Expand SimulationXpressSimulationXpress
Expand SketchingSketching
Expand Sustainability ProductsSustainability Products
Expand SolidWorks UtilitiesSolidWorks Utilities
Expand TolerancingTolerancing
Expand TolAnalystTolAnalyst
Expand ToolboxToolbox
Expand WeldmentsWeldments
Expand Workgroup PDMWorkgroup PDM
Expand TroubleshootingTroubleshooting
Glossary
Hide Table of Contents

Nonlinear Elastic Model

A typical stress-strain curve of a nonlinear material model is:

fig_1.gif

For the particular case of stress history as related to proportional loading, where components of stress tensor vary monotonically in constant ratio to each other, the strains can be expressed in terms of the final state of stress in the following form:

7.gif

Ds is the secant material matrix, Es is the secant modulus, ν is the Poisson's ratio

To incorporate this model, the Poisson's ratio and a material stress-strain curve should be defined.

The total strain vector ε is used to compute the effective strain ε(bar) to get the secant modulus from the user-defined material (stress-strain) curve. For the three dimensional case:

8.gif

The stress-strain curve from the third (compressive) to the first (tensile) quadrants are applicable to this model for two and three dimensional elements with some modifications. A method of interpolation is used to get the secant and tangent material moduli. Defining a ratio R which is a function of the volumetric strain Φ, effective strain, and the Poisson's ratio, R has the following expression:

9.gif

It is noted that R = 1 represents the uniaxial tensile case and R = -1 is for the compressive case. These two cases are set to be the upper and lower bound such that when R exceeds these two values, the program will push it back to the limit. The nonlinear elastic material model can be used with solid and shell meshes.



Provide feedback on this topic

SOLIDWORKS welcomes your feedback concerning the presentation, accuracy, and thoroughness of the documentation. Use the form below to send your comments and suggestions about this topic directly to our documentation team. The documentation team cannot answer technical support questions. Click here for information about technical support.

* Required

 
*Email:  
Subject:   Feedback on Help Topics
Page:   Nonlinear Elastic Model
*Comment:  
*   I acknowledge I have read and I hereby accept the privacy policy under which my Personal Data will be used by Dassault Systèmes

Print Topic

Select the scope of content to print:



x

We have detected you are using a browser version older than Internet Explorer 7. For optimized display, we suggest upgrading your browser to Internet Explorer 7 or newer.

 Never show this message again
x

Web Help Content Version: SOLIDWORKS 2014 SP05

To disable Web help from within SOLIDWORKS and use local help instead, click Help > Use SOLIDWORKS Web Help.

To report problems encountered with the Web help interface and search, contact your local support representative. To provide feedback on individual help topics, use the “Feedback on this topic” link on the individual topic page.