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Two inverse problems arising in the context of isothermal elastoplasticity with small strains are dealt with in this paper. Both of them use as input data fullfield displacement measurements on a stress-free part of the boundary at various time increments during the loading and unloading steps of a structure. In the first one, the recovery of the plastic strain fields (and then of the plastic zones) during the process of loading is addressed, whereas in the second one the residual stress field after complete unloading is looked for. The computational method derived here is grounded on the minimization of an error in constitutive equations. An illustration of the performance and accuracy of the fields recovery is given for each type of inverse problem on a L-shaped structure.

numerical methods, variational,