Ma. Gutierrez et R. De Borst, Stochastic aspects of localised failure: material and boundary imperfections, INT J SOL S, 37(48-50), 2000, pp. 7145-7159
This paper presents the application of the finite element reliability metho
d to the evaluation of the statistical properties of localisation phenomena
. Material and boundary constraint imperfections are considered. The latter
are imposed through Lagrange multipliers. The evaluation of the sensitivit
y to the stochastic basic variables, which is needed in the reliability met
hod, is outlined. Numerical simulations of mode-I and mode-II localisation
phenomena are presented. (C) 2000 Elsevier Science Ltd. All rights reserved
.