English

A characterization of Generalized functions of Bounded Deformation

Functional Analysis 2025-02-18 v1 Materials Science

Abstract

We show that Dal Maso's GBD space, introduced for tackling crack growth in linearized elasticity, can be defined by simple conditions in a finite number of directions of slicing.

Keywords

Cite

@article{arxiv.2502.10861,
  title  = {A characterization of Generalized functions of Bounded Deformation},
  author = {Antonin Chambolle and Vito Crismale},
  journal= {arXiv preprint arXiv:2502.10861},
  year   = {2025}
}