Boundary data identification from overspecified data for elastic-plastic linear strain-hardening bodies

International audienceA general solution method for boundary data identification formulated for incremental elastoplasticity is presented. The method extends previous works on Cauchy Problems for linear operators and convex hyperelasticity to the case of generalized standard materials. The issue is formulated as a minimization of an error-functional between the solutions of two well-posed elastoplastic problems. A one-parameter family of error in constitutive equation is derived based on Legendre-Fenchel residuals. An application is presented to illustrate the efficiency of the method