A characterization of Generalized functions of Bounded Deformation
Antonin Chambolle, Vito Crismale
TL;DR
This paper characterizes Dal Maso's GBD space, used in modeling crack growth in elasticity, through simple slicing conditions in finite directions, simplifying its understanding and potential applications.
Contribution
It provides a new characterization of the GBD space using finite directional slicing conditions, enhancing its theoretical understanding.
Findings
GBD space characterized by simple slicing conditions
Facilitates easier analysis of crack growth models
Links GBD space to finite directional properties
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.
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