On shakedown of three-dimensional elastoplastic strain-hardening structures (Q1369370)

We consider the shakedown problem of structures made of either kinematic or mixed strain-hardening materials. Some shakedown properties of elastoplastic strain-hardening structures are proved mathematically. Sufficient shakedown conditions for kinematic or mixed strain-hardening structures are deduced, from which the lower bound of shakedown load domain can be obtained via a mathematical programming technique. It should be pointed out that, to guarantee the safety of an elastoplastic strain-hardening structure, the damage analysis also must be able to determine the maximum load factor the structure can bear.