Constrained global optimization: algorithms and applications
Constrained global optimization: algorithms and applications
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
The search for substationarity points in the unilateral contact problems with nonmonotone friction
Mathematical and Computer Modelling: An International Journal
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Structures involving nonmonotone, possibly multivalued reaction-displacement or stress-strain laws cannot be effectively treated by the numerical methods for classical non-linearities. In this paper we make use of the fact that these problems have as a variational formulation a hemivariational inequality, leading to a noncovex optimization problem. A new method is proposed which approximates the nonmonotone problem by a series of monotone ones. The method constitutes an iterative scheme for the approximation of the solutions of the corresponding hemivariational inequality. A simple numerical example demonstrates the con-ceptual idea of the proposed numerical method. In the sequel the method is applied on an engineering problem concerning the ultimate strength analysis of an eccentric braced steel frame.