Material models
Elastic material models
IsoHooke
Standard linear
elastic Hook's material
Strain
potential function per unit volume is of the form:
,where e is a strain tensor, E is a Young's modulus and n is a Poisson’s ratio.
The stress–strain relationship is given by
HookeDamage
Modified linear
elastic Hook's material
Strain
potential function per unit volume is of the form:
,where e is a strain tensor, E is a Young's modulus, n is a Poisson’s ratio and D is an isotropic damage parameter.
The stress–strain relationship is given by
.
NHookeA
Hyperelastic
Neo-Hookean material
Strain
potential function per unit volume is of the form:
,where F is a deformation gradient E is a Young's modulus and n is a Poisson’s ratio.
NHookeB
Hyperelastic
Neo-Hookean material
Strain
potential function per unit volume is of the form:
, where F is deformation gradient , E is Young's modulus and n is Poisson’s ratio.
Misses
Standard isotropic Hubert-von Misses yield criterion
The yielding function f, the plastic potential g
and hardening evolution equations are given as
, where 
is a yield stress.
DanfossA
Material input data
Definition of state variables
- 3D case
In 2D case the variables with the z component are neglected.
Yield function
Hardening evolution equations
Initialisation of the
sub-iterative process
The tangent matrix is unsymmetric.
Sparsity
structure of the local tangent matrix
Sparsity
structure after LU decomposition
DanfossB
Material input data
Definition of state variables
- 3D case
In 2D case the variables with the z component are neglected.
Yield function and plastic
potential
Hardening evolution equations
Initialisation of the
sub-iterative process
The tangent matrix is unsymmetric.
Sparsity
structure of the local tangent matrix
Sparsity
structure after LU decomposition
