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A relaxation result in the framework of structured deformations in a bounded variation setting

Published online by Cambridge University Press:  21 March 2012

Margarida Baía ,
José Matias  and
Pedro Miguel Santos
Margarida Baía
Affiliation:
CAMGSD, Departamento de Matemática, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal (mbaia@math.ist.utl.pt; jmatias@math.ist.utl.pt; pmsantos@math.ist.utl.pt)
José Matias
Affiliation:
CAMGSD, Departamento de Matemática, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal (mbaia@math.ist.utl.pt; jmatias@math.ist.utl.pt; pmsantos@math.ist.utl.pt)
Pedro Miguel Santos
Affiliation:
CAMGSD, Departamento de Matemática, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisbon, Portugal (mbaia@math.ist.utl.pt; jmatias@math.ist.utl.pt; pmsantos@math.ist.utl.pt)
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Abstract

We obtain an integral representation of an energy for structured deformations of continua in the space of functions of bounded variation, as a first step to the study of asymptotic models for thin defective crystalline structures, where phenomena as slips, vacancies and dislocations prevent the effectiveness of classical theories.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 142 , Issue 2 , April 2012 , pp. 239 - 271
Copyright
Copyright © Royal Society of Edinburgh 2012

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