Abstract
Some broad classes of discrete structural models and piecewise linear yield loci and hardening rules are considered. The dynamic elastoplastic response to a given history of rapidly variable loads and imposed strains and displacements (“dislocations”) is studied on the basis of a suitable matrix description. Inadaptation means that the plastic work and, hence, some plastic deformations increase unlimitedly in time, i.e. the structure does not shakedown. Sufficient and necessary conditions for this occurrence are established and formulated in a theorem, which represents the extension to the dynamic range and to work-hardening structures of the second (Koiter's) shakedown theorem of classical plasticity.
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