An approach for the reliability-based design optimization of shape memory alloy structure

Abstract

The reliability-based design optimization looks for the best compromise between safety and cost taking into account uncertainties in the structure. This methodology does not only provide an improved design but also a high level of confidence. As a result, the reliability analysis is integrated in the optimization loop in order to improve the performance of the structure while maintaining the assumed reliability level. For that reason, several formulations, such as optimum safety factor method and hybrid method (HM) are developed to reach this purpose. These methods have been applied only to linear materials. However, nowadays, there are increasing interests in the use of nonlinear materials such as shape memory alloy. In this context, this article proposes an extension of these approaches in the case of nonlinear material in order to study their efficiency. A method called robust hybrid method is proposed to overcome the problem of classical hybrid one. A numerical application is then used in order to present the advantages of the modified HM for treating the problem of structures with nonlinear material.

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