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The quasistatic rate-independent damage combined with linearized plasticitywith hardening at small strains is investigated. The fractional-step timediscretisation is devised with the purpose to obtain a numerically efficientscheme converging possibly to a physically relevant stress-driven solutions,which however is to be verified a-posteriori by using a suitable integratedvariant of the maximum-dissipation principle. Gradient theories both for damageand for plasticity are considered to make the scheme numerically stable withguaranteed convergence within the class of weak solutions. After finite-elementapproximation, this scheme is computationally implemented and illustrative2-dimensional simulations are performed.

Stress-driven solution to rate-independent elasto-plasticity with damage at small strains and its computer implementation