Calculus of Variations and Geometric Measure Theory
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M. Morandotti

Structured Deformations of Continua: Theory and Applications

created by morandott on 06 Feb 2017
modified on 12 May 2017

[BibTeX]

Accepted Paper

Inserted: 6 feb 2017
Last Updated: 12 may 2017

Journal: Proceedings of the conference CoMFoS16
Year: 2017

ArXiv: 1702.02105 PDF
Notes:

Proceedings volume of the conference CoMFoS16


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.


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