RELIABLE SOLUTION IN STRAIN SPACE OF ELASTOPLASTIC PROBLEMS WITH ISOTROPIC HARDENING AND UNCERTAIN DATA

Quasi-static problems of the flow theory of elastoplasticity are formulated in strain space by means of a variational inequality. Continuous dependence of the resulting stress tensor on some input data (coefficients, initial condition and loading) is proved. Employing a worst scenario method for uncertain data, we prove the existence of "worst" admissible input data with regard to three given criteria.