An extension of a shakedown theorem in elastic-plastic dynamics (Q915533)

Summary: Shakedown analysis in elasto-plastic dynamics is dealt with here on the following basis: a quite general constitutive model for the material behaviour is adopted, the model is based on an internal variables formulation which allows for a general nonlinear hardening law; discrete structural models described in terms of generalized variables are referred to. The contributions presented are as follows: some preliminary earlier results are extended to the general elasto-plastic model considered; a necessary and sufficient condition for shakedown is presented; a discussion on the determination of the safety factor concludes the paper.