Published In
Journal of Non-Equilibrium Thermodynamics
Document Type
Article
Publication Date
2008
Subjects
Decomposition (Chemistry), Mathematical models, Plasticity
Abstract
In this work we analyze the relation between the multiplicative decomposition F = F e F p of the deformation gradient as a product of the elastic and plastic factors and the theory of uniform materials. We prove that postulating such a decomposition is equivalent to having a uniform material model with two configurations – total φ and the inelastic φ1. We introduce strain tensors characterizing different types of evolutions of the material and discuss the form of the internal energy and that of the dissipative potential. The evolution equations are obtained for the configurations (φ, φ1) and the material metric g. Finally, the dissipative inequality for the materials of this type is presented. It is shown that the conditions of positivity of the internal dissipation terms related to the processes of plastic and metric evolution provide the anisotropic yield criteria.
DOI
10.1515/JNETDY.2008.009
Persistent Identifier
http://archives.pdx.edu/ds/psu/13345
Citation Details
Ciancio, V., Dolfin, M., Francaviglia, M., & Preston, S. (2008). Uniform Materials and the Multiplicative Decomposition of the Deformation Gradient in Finite Elasto-Plasticity. Journal Of Non-Equilibrium Thermodynamics, 33(3), 199-234.
Description
This is the publisher's final PDF. Originally published in Journal of Non-Equilibrium Thermodynamics and can be found online at: http://dx.doi.org/10.1515/JNETDY.2008.009 © 2008 Walter de Gruyter.