Calculus of Variations and Geometric Measure Theory

D. Percivale - F. Tomarelli

Smooth and creased equilibria for elastic-plates and beams

created by tomarelli on 27 Apr 2005
modified on 16 Oct 2009


Published Paper

Inserted: 27 apr 2005
Last Updated: 16 oct 2009

Journal: Progr. Nonlinear Differential Equations Appl., Birkhauser , Basel
Volume: 68
Pages: 127-136
Year: 2006

Proc. "Variational Problems in Material Science" (SISSA Sept. 2004), Gianni Dal Maso et al. eds.,


ABSTRACT - We show that minimizers of elastic-plastic energies dependent on jump integrals are smooth provided a smallness condition is fulfilled by the load. We examine also the structure of extremals when this smallness condition is violated.

Keywords: calculus of variations, free discontinuity, Special Bounded Hessian , Elasto-Plasticity