English

Structured Deformations of Continua: Theory and Applications

Optimization and Control 2017-02-08 v1 Materials Science

Abstract

The scope of this contribution is to present an overview of the theory of structured deformations of continua, together with some applications. Structured deformations aim at being a unified theory in which elastic and plastic behaviours, as well as fractures and defects can be described in a single setting. Since its introduction in the scientific community of rational mechanicists (Del Piero-Owen, ARMA 1993), the theory has been put in the framework of variational calculus (Choksi-Fonseca, ARMA 1997), thus allowing for solution of problems via energy minimization. Some background, three problems and a discussion on future directions are presented.

Keywords

Cite

@article{arxiv.1702.02105,
  title  = {Structured Deformations of Continua: Theory and Applications},
  author = {Marco Morandotti},
  journal= {arXiv preprint arXiv:1702.02105},
  year   = {2017}
}

Comments

11 pages, 1 figure, 1 diagram. Submitted to the Proceedings volume of the conference CoMFoS16

R2 v1 2026-06-22T18:11:53.024Z