Shakedown of Structures Accounting for Damage Effects
Shakedown theory for elastic-plastic-damage materials is exposed. Two kinds of shakedown are considered: i) Enlarged shakedown (or simply shakedown), in which both plastic deformations and damage eventually cease, after which the structural response is purely elastic; ii) Weak-form shakedown, in which plastic deformations eventually cease together with their consequences (including ductile damage), not necessarily damage from other sources (which are however escluded by assumption). An (enlarged) shakedown static-type theorem is given for a class of D-stable structures. Sufficient theorems of weak-form shakedown are provided, i.e. a static-type one (quite similar to that of Hachemi and Weichert (1992)), and a kinematic-type one, and possible applications of the latter theorems to ductile-damage structures are also indicated.
KeywordsPlastic Strain Structure Account Ductile Damage Virtual Work Principle Shakedown Analysis
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