Limit analysis of plastic shells subjected to large deformations

摘要

A pair of dual bounding theorems are established for rigid-perfectly plastic shells undergoing large deformation. It is proved that the existence of the plastic limit state at the collapse load depends on a so-called complementary gap function. The stability criteria for both upper and lower bound theorems are proposed, which provide the sufficient conditions for the plastic collapse. A penalty-duality variational technique is suggested for optimal bound of the collapse load factor.