Special bounded Hessian and elastic-plastic plate. (English) Zbl 0829.49014
Summary: A weak formulation of a free gradient discontinuity problem is proposed. The domain of the related functional (the class of functions with special bounded Hessian) is introduced and studied. Necessary and sufficient conditions for the existence of equilibrium of a weak elastic-plastic plate are obtained.
MSC:
49J45 | Methods involving semicontinuity and convergence; relaxation |
49J10 | Existence theories for free problems in two or more independent variables |
74K20 | Plates |