R. Hamilton et al., A SIMPLE UPPER-BOUND METHOD FOR CALCULATING APPROXIMATE SHAKEDOWN LOADS, Journal of pressure vessel technology, 120(2), 1998, pp. 195-199
A simple approach for calculating upper-bound shakedown loads is descr
ibed. The method is based on a series of iterative elastic finite elem
ent analyses (the elastic compensation procedure) applied to Koiter's
upper-bound shakedown theorem. The method is demonstrated for a typica
l pressure vessel application; an axisymmetric nozzle in a spherical s
hell. Several geometrical configurations are investigated. The calcula
ted upper-bound shakedown lends are compared with lower-bound results
obtained by the authors, simple shakedown criteria, and various result
s given in the literature.