DAMAGE AND SHAKEDOWN ANALYSIS OF STRUCTURES WITH STRAIN-HARDENING

In this article, the ductile damage of materials is introduced into th e shakedown theory of strain-hardening structures. A mathematical prog ramming method is developed to calculate an upper bound of the damage factor in a structure subjected to varying loads, which is suggested a s the criterion of structural failure. Based on it, a lower bound of t he safe load factor can be obtained for a strain-hardening structure v ia a mathematical programming. The application of this theory is demon strated by analysing the thick-walled cylindrical tube.