A class of convex non-coercive functionals and masonry-like materials

Abstract We consider a class of functionals of the strain (or of the gradient), whose main feature is that they are not coercive when the forces are zero, while they are coercive under suitable assumptions for the load. The main application is to the problem of static equilibrium for a class of elastic materials in which the stress is constrained to be negative semi-definite. Functions of bounded deformation and measure theory are a basic technical tool in the paper.

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