Dynamic shakedown analysis and bounds for elastoplastic structures with nonassociative, internal variable constitutive laws (Q675626)

Reference is made to discrete (finite element) structural models formulated in terms of generalized variables. The constitutive laws adopted are elastic-plastic, nonlinear-hardening with internal variables and generally nonassociative. The notion of reduced domain is employed as a generalization of a similar concept introduced in earlier developments of shakedown theory. On this basis, a unified theory is presented, which encompasses: sufficient conditions for shakedown by a static approach; bounds on various post-shakedown quantities; sufficient and necessary shakedown criteria by a kinematic approach.