3.2.3.1.1. Isotropic

The Isotropic material model implements linear elastic, isotropic behavior for 3D solids. It can be used with continuum elements in both small strain and finite strain analyses where the constitutive response is governed by Young’s modulus and Poisson’s ratio. Density can be provided for dynamic problems.

3.2.3.1.1.1. Overview

Material type: Isotropic

Supports: - 3D linear elastic isotropic behavior - Compatible with small strain and finite strain kinematics (via element choice) - Stress output: S11, S22, S33, S23, S13, S12

3.2.3.1.1.2. Parameters

3.2.3.1.1.2.1. Mandatory Parameters

Parameter

Description

type

Must be set to "Isotropic"

E

Young’s modulus (units consistent with the model setup)

nu

Poisson’s ratio (typically between 0 and 0.5)

3.2.3.1.1.2.2. Optional Parameters

Parameter

Description

rho

Mass density used in dynamic analyses (if applicable)

incremental

Optional flag for incremental stress update; default behavior computes stress from total strain

3.2.3.1.1.3. Examples

Representative examples using Isotropic materials: - examples/ch02/PatchTest8_3D.pro (3D small-strain continuum) - examples/ch03/NewtonRaphson3D.pro (3D finite-strain continuum) - examples/elements/sls/sls_cantilever01.pro (SLS shell with isotropic faces)