MAT4
Material Property ElementMAT4 lets you define a hyper-elastic material model for NLFE elements based on the Mooney-Rivlin material model.
Format
<MAT4
id = "integer"
mu01 = "real"
mu10 = "real"
nu = "real"
rho = "real"
YS = "real"
/>
Attributes
- id
- Unique material property identification number.
- mu01
- Material constant ( ).
- mu10
- Material constant ( ).
- nu
- Poisson's ratio for the element. Default is 0.49.
- rho
- Element density.
- YS
- An elastic limit for strain. Default is 0.0.
Example
The example demonstrates the definition of a MAT4 element.
<MAT4 id="1" mu01="8e+3" mu10="2e+3" nu="0.499" rho="7.810e-6" YS="0.125"/>
Comments
- This material element defines a hyper-elastic material that
follows the Mooney-Rivlin material model law for the strain energy
density function:
where
is the shear modulus
is the bulk modulus
is the Poisson's ratio
,
Each element must have a unique material identification number.
- This material model can only be used with a fully parameterized element (BEAM12, QUAD12, TRIA12 and solid elements).
- mu10 and mu10 are material constants. mu10 can be determined using a tension or compression tests, however, mu01 should be determined using a biaxial test.
- YS lets you specify a maximum limit on the elastic strain that the component is allowed. If, during the simulation, the component strain (at any element in the component) exceeds this value, MotionSolve issues a warning message.