Governing Equations
The model solves the governing equations for a general linear elastic material in a velocity-strain formulation
where
v
is the velocity,
ρ
the density,
S
the stress tensor,
ε
the strain tensor,
C
is the elasticity tensor (or stiffness tensor), and
F
v
is a possible body force. The equations are valid for both isotropic and anisotropic material data.
Independent of the space dimension, the unknowns solved for are three components of the velocity vector and six components of the strain tensor. This means that the out-of-plane component of the velocity will be present in 2D geometries. In some cases, for example for anisotropic materials, the out-of-plane velocity may become different from zero for in-plane loads. This formulation is ofter referred to as 2.5D.
