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


Submitted Paper

Inserted: 6 feb 2017
Last Updated: 6 feb 2017

Year: 2017

Submitted to the Proceedings volume of the conference CoMFoS16


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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