Modeling of anisotropic softening phenomena: Application to soft biological tissues

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 gov...

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Bibliographic Details
Published in:International journal of plasticity 2009-05, Vol.25 (5), p.901-919
Main Authors: Ehret, Alexander E., Itskov, Mikhail
Format: Article
Language:English
Subjects:
Anisotropic material
Constitutive behavior
Exact sciences and technology
Fiber-reinforced composite material
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Physics
Preconditioning
Soft biological tissue
Solid mechanics
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
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Summary: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.
ISSN:0749-6419
1879-2154
DOI:10.1016/j.ijplas.2008.06.001