In this paper Element Free Galerkin Method is used and applied to the stress analysis problems where material has a tendency towards both elastoplastic and creep behavior. In doing so, following a brief description of the nonlinear constitutive formulation of elastoplastic and creep, a new technique for the numerical analysis of nonlinear problems has been constructed. The method has been examined in two different plates with and without a crack. The value of C*-integral has been used as a base for comparison of the creep results. A rather close agreement is seen between results of this work and the others. .

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