Materials
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Hyper Elastic Materials Overview
For hyper elastic materials, different constitutive material models are supported, such as: Neo-Hookean (both compressible and incompressible), Mooney-Rivlin, and Yeoh models that are used to model a hyper elastic NLFE Body.
Hyper elastic materials can undergo large deformations with a non-linear stress strain relationship.
The constitutive models for hyper elastic materials are characterized using the strain energy density function.
Type | Equation | Description |
---|---|---|
Neo-Hookean Compressible | U - Strain Energy density function μ - Shear modulus - rx, ry, and rz are the gradients of NLFE grids , is called the 2nd Lame's constant, v is the Poisson's ratio |
|
Neo-Hookean Incompressible | , bulk modulus |
|
Mooney-Rivlin | μ01 and μ10 are material constants
, where C is the Cauchy-Green deformation tensor are the gradient vectors |
|
Yeoh | C10, C20, and C30 are material constants |
The material constants for these models have to be derived through testing, such as: uniaxial, bending, and shear tests.