An extension of the upper bound shakedown theorem to load histories in exce
ss of shakedown has been presented elsewhere in this issue. Here the minimi
sation process described therein is applied to the solutions of the ratchet
limit as well as shakedown and limit load for a range of simple problems.
The solutions provide an estimate of the maxima of the varying plastic stra
in magnitudes, which is compared with the Neuber approximate values. The po
sition of the ratchet boundary is confirmed by comparison step-by-step anal
ysis. (C) 2001 Editions scientifiques et medicales Elsevier SAS.