A finite element formulation of rigid-plastic plates subjected to in-plane
forces is developed using stress-based elements and linear programming. Thr
ee elements are established, namely a triangular plate element, a bar eleme
nt and a beam element. The problem is formulated as a lower bound solution,
and the dual variables are interpreted as displacements. Both load and mat
erial optimization are formulated. The method is applied to concrete plate
structures modeling both the distributed and the concentrated reinforcement
. An efficient computational scheme is used, thereby reducing the size of t
he problem. Finally, numerical examples are presented to show the capabilit
ies of the method. (C) 2000 Elsevier Science Ltd. All rights reserved.