Polyconvex Models for Arbitrary Anisotropic Materials

Crack growth in polyconvex materials∗

We discuss a model for crack propagation in an elastic body, where the crack path is described a-priori. In particular, we develop in the framework of finitestrain elasticity a rate-independent model for crack evolution which is based on the Griffith fracture criterion. Due to the nonuniqueness of minimizing deformations, the energy-release rate is no longer continuous with respect to time and ...

A bimodular polyconvex anisotropic strain energy function for articular cartilage.

A strain energy function for finite deformations is developed that has the capability to describe the nonlinear, anisotropic, and asymmetric mechanical response that is typical of articular cartilage. In particular, the bimodular feature is employed by including strain energy terms that are only mechanically active when the corresponding fiber directions are in tension. Furthermore, the strain ...

A Theoretical Study of Wall Ironing for Anisotropic Workharden Materials

Phenomenological Damage Models of Anisotropic Structural Materials

Damage in metals is mainly the process of the initiation and growth of voids. A formulation for anisotropic damage is established in the framework of the principle of strain equivalence, principle of increment complementary energy equivalence and principle of elastic energy equivalence. This paper presents the development of an anisotropic damage theory. This work is focused on the development ...

A Theoretical Study of Wall Ironing for Anisotropic Workharden Materials