We analyze the possible nucleation of cracked surfaces in materials in which changes in the material texture have a prominent influence on the macroscopic mechanical behavior. The geometry of crack patterns is described by means of stratified families of curvature varifolds with boundary. Possible non-local actions of the microstructures are accounted for. We prove existence of ground states of the energy in terms of deformation, descriptors of the microstructure and varifolds.

A variational problem in the mechanics of complex materials / Mariano Giaquinta; Paolo Maria Mariano; Giuseppe Modica. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 28:(2010), pp. 519-537. [10.3934/dcds.2010.28.519]

A variational problem in the mechanics of complex materials

Paolo Maria Mariano
;
Giuseppe Modica
2010

Abstract

We analyze the possible nucleation of cracked surfaces in materials in which changes in the material texture have a prominent influence on the macroscopic mechanical behavior. The geometry of crack patterns is described by means of stratified families of curvature varifolds with boundary. Possible non-local actions of the microstructures are accounted for. We prove existence of ground states of the energy in terms of deformation, descriptors of the microstructure and varifolds.
2010
28
519
537
Goal 9: Industry, Innovation, and Infrastructure
Mariano Giaquinta; Paolo Maria Mariano; Giuseppe Modica
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/385851
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