Inelastic response of solids described by implicit constitutive relations with nonlinear small strain elastic response

摘要

We develop a model to describe the inelastic response of bodies that exhibit non-linear response even in the small strain regime. We introduce a new approach to modeling the inelastic response of materials by gainfully exploiting the discontinuity of the functions that appear in the constitutive relations to describe a plethora of inelastic responses that have been observed. The model that has been developed and its generalizations can be used to describe the response of geomaterials such as clay and rocks, traditional materials such as Aluminum and several polymeric solids, as well as modern intermetallic alloys. (C) 2015 Published by Elsevier Ltd.