A formulation is given for the constitutive equations of an elastoviscoplastic material and an elastoplastic material with strain hardening; the coefficients of the latter formulation are identified for 316 L stainless steel. The results are obtained numerically and are related to simple geometries, including an axisymmetrical thin shell. The class of consitutive equations is briefly recalled. It describes hysteresis and hardening by expressing the effective stress as the sum of two hereditary contributions, of discrete and continuous memory form, respectively. It is closely related to a thermomechanical pattern which demands the use of the discrete memory concept.

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