01081nas a2200121   4500008004100000245004900041210004900090260001000139520061100149653014200760100002100902856003600923       2011                        en  d00aGeneralised functions of bounded deformation0 aGeneralised functions of bounded deformation  bSISSA3 a<p>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 compactness 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.</p>10afree discontinuity problems, special functions of bounded deformation, jump set, rec- tifiability, slicing, approximate differentiability1 aDal Maso, Gianni  uhttp://hdl.handle.net/1963/6374