# Uniform materials and the multiplicative decomposition of the deformation gradient in finite elasto-plasticity - Condensed Matter > Materials Science

Abstract: In this work we analyze the relation between the multiplicative decomposition$\mathbf F=\mathbf F^{e}\mathbf F^{p}$ of the deformation gradient as a productof the elastic and plastic factors and the theory of uniform materials. Weprove that postulating such a decomposition is equivalent to having a uniformmaterial model with two configurations - total $\phi$ and the inelastic$\phi {1}$. We introduce strain tensors characterizing different types ofevolutions of the material and discuss the form of the internal energy and thatof the dissipative potential. The evolution equations are obtained for theconfigurations $\phi,\phi {1}$ and the material metric $\mathbf g$.Finally the dissipative inequality for the materials of this type ispresented.It is shown that the conditions of positivity of the internaldissipation terms related to the processes of plastic and metric evolutionprovide the anisotropic yield criteria.

Author: V. Ciancio, M. Dolfin, M. Francaviglia, S. Preston

Source: https://arxiv.org/