Abstract
A thermodynamically consistent dissipative model is proposed to describe
softening phenomena in anisotropic materials. The model is based
on a generalized polyconvex anisotropic strain energy function represented
by a series. Anisotropic softening is considered by evolution of
internal variables governing the anisotropic properties of the material.
Accordingly, evolution equations are formulated and anisotropic conditions
for the onset of softening are defined. In numerical examples, the
model is applied to simulate the preconditioning behavior of soft
biological tissues subjected to cyclic loading experiments. The results
suggest that the general characteristics of preconditioning with
different upper load limits are well captured including hysteresis
and residual deformations. A model for the Mullins effect is obtained
as a special case and shows very good agreement with experimental
data on mouse skin.
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