An Upper Bound on Damage of Elastic-Plastic Structures at Shakedown

In this paper, a shakedown theory for plastic-damaged structures is pre sented. Damage mechanics and shakedown theory are closely related to each other in some aspects. The damage of materials may change their mechanical properties and as well as the shakedown load domains of structures. Here the damage variable is proposed as the failure criterion of ductile structures at shakedown. Based on an elastic perfect ly—plastic damage model, an upper bound on local damage of structures is given via a mathematical programming. The suggested method is illustrated by an example of thick- walled cylindrical tube.