Continuum Kinematics with Incompatible-Compatible Decomposition
Mathematical Physics
2023-01-23 v1 math.MP
Abstract
Abstract. We present a framework for the kinematics of a material body undergoing anelastic deformation. For such processes, the material structure of the body, as reflected by the geometric structure given to the set of body points, changes. The setting we propose may be relevant to phenomena such as plasticity, fracture, discontinuities, and non-injectivity of the deformations. In this framework, we construct an unambiguous decomposition into incompatible and compatible factors which includes the standard elastic-plastic decomposition in plasticity.
Cite
@article{arxiv.2301.08450,
title = {Continuum Kinematics with Incompatible-Compatible Decomposition},
author = {Vladimir Goldshtein and Paolo Maria Mariano and Domenico Mucci and Reuven Segev},
journal= {arXiv preprint arXiv:2301.08450},
year = {2023}
}