CodiceQDD 52
TitoloRegular minimizers of some free discontinuity problems
Autore/iPercivale D.; Tomarelli F.
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AbstractWe show that minimizers of free discontinuity problems with energy dependent on jump integrals and Dirichlet boundary conditions are smooth provided a smallness condition is imposed on data. We examine several examples, including elastic-plastic beam and plate with free yield lines and deformable body with free damage. In all cases there is a gap between the condition for solvability (safe load condition) and this smallness condition (load regularity condition). Such gap allows the existence of damaged/creased minimizers. Eventually we provide explicit examples of irregular solutions when the load stays in the gap.