A relaxation result in the framework of structured deformations in a bounded variation setting
Margarida Baı́a, José Matías, Pedro Miguel Santos · Proceedings of the Royal Society of Edinburgh Section A Mathematics · 2012
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.