Abstract
The purpose of this work is to study a class of inverse problems arising in mechanics, with emphasis on inverse problems of inequality or nonsmooth mechanics. The application concerns crack identification where static and dynamic problems are considered. Unilateral problems are tightly connected with the theory of variational inequalities and with complementarity problems. Inverse problems are considered as error minimization problems. This approach shares many common elements with the study of optimal design problems. In turn, since one deals with optimization of systems governed by variational inequalities or complementarity problems, questions pertaining to nondifferentiability and nonconvexity of the studied problems, with all related complications, arise. Solution to practical examples are thus provided by means of classical optimization algorithms or less classical soft computing techniques.
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