We introduce the space GBD of generalized functions of bounded deformation and study the structure properties of these functions: the rectifiability and the slicing properties of their jump sets, and the existence of their approximate symmetric gradients. We conclude by proving a com- pactness results for GBD, which leads to a compactness result for the space GSBD of generalized special functions of bounded deformation. The latter is connected to the existence of solutions to a weak formulation of some variational problems arising in fracture mechanics in the framework of linearized elasticity.
|Titolo:||Generalised functions of bounded deformation|
|Autori:||Dal Maso G|
|Rivista:||JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY|
|Data di pubblicazione:||2013|
|Digital Object Identifier (DOI):||10.4171/JEMS/410|
|Appare nelle tipologie:||1.1 Journal article|