KINEMATICAL APPROACH TO THE SHAKEDOWN ANALYSIS OF SOME STRUCTURES

From Koiter's kinematical shakedown theorem, a new variational problem is deduced, which does not contain integrals over a time parameter an d gives an upper bound on the safety factor. For a broad class of prac tical problems, including planar bar systems subjected to combined axi al and bending loads, it leads to the exact value of the shakedown fac tor. The possible inadaptation modes (incremental, alternating, or mix ed) on the shakedown boundary are determined.