Elastoplastic analysis of structures under uncertainty: model and solution methods ¹

¹This research was supported by the Australian Research Council.

Abstract

This paper deals with an important engineering problem, namely the elastoplastic analysis of structures under uncertainty. The analysis model incorporates a class of piecewise linear hardening laws that are sufficiently general to encompass a wide range of practically observed material behavior. The uncertainty we deal with is due to both loads and material parameters. We first formulate the problem as a stochastic nonlinear programming problem and then propose a new simple method for solving it via some approximation techniques.

Keywords:

• Elastoplastic analysis
• stochastic programming
• approximation techniques

¹This research was supported by the Australian Research Council.

¹This research was supported by the Australian Research Council.

Notes

¹This research was supported by the Australian Research Council.