MAT2

MAT2 lets you define a hyper-elastic material model for NLFE elements that follows the incompressible Neo-Hookean material law.

<MAT2

id = "integer"

mu = "real"

nu = "real"

rho = "real"

YS = "real"

Unique material property identification number.

Shear modulus for the element.

Poisson’s ratio for the element. Default is 0.49.

rho

Element density.

An elastic limit for strain. Default is 0.0.

YS >= 0.0

1.	This material element defines a hyper-elastic material that obeys the incompressible Neo-Hookean law for the strain energy density function:

where

is the shear modulus; , where N is the number of polymer chains per unit volume, K is the Boltzmann constant, and T is temperature

, is the bulk modulus

is the Poisson’s ratio

Each element must have a unique material identification number.

2.	This material model can only be used with a fully parameterized element (BEAM12, QUAD12, TRIA12 and solid elements).

3.	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.

The example demonstrates the definition of a MAT2 element.