Conditions for shakedown of structures (solids) of elastic plastic creeping materials with anisotropic plastic damage, strain hardening and softening, as subjected to thermo mechanical loading, are in question. The current yield surfaces are assumed to enclose the one of the minimal diameter (m-surface). This is valid at the stage of strain hardening, and also at the part of the softening stage. The shakedown conditions are of the classical (Melan) type; however the residual stress may depend on time. The sufficient condition is formulated relative to the m-surface.
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