This paper describes a direct shakedown analysis of structures subjected to
variable thermal and mechanical loading. The classical kinematical shakedo
wn theorem is modified to be implemented with any displacement-based finite
elements. The plastic incompressibility condition is imposed by the penalt
y function method. The shakedown limit is found via a non-linear mathematic
al programming procedure. Two numerical shakedown methods are developed and
implemented to provide alternative numerical means. The temperature-depend
ent material model is included in theoretical and numerical calculation in
a simple way. Its effect on shakedown limit is investigated. The numerical
examination for some pressure vessel structures subjected to thermal and me
chanical loading shows a satisfying precision and efficiency of the methods
presented. Copyright (C) 2001 John Wiley & Sons, Ltd.