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Optimal control of structures with convex and nonconvex energy densities and variational and hemivariational inequalities
Abstract The paper deals with the identification and optimal control problems of structures involving more than one ‘phase’, as for example contact and noncontact zones, or elastic and plastic regions, which are not known a priori. The behaviour of these structures is described by convex or nonconvex energy functions. After a compact formulation of the problems as variational inequalities (the convex case), or as hemivariational inequalities (the nonconvex case), the optimal control problem is formulated and certain propositions are proved. These propositions are then applied to the optimal control and identification problems in elastoplasticity and contact problems.
Optimal control of structures with convex and nonconvex energy densities and variational and hemivariational inequalities
Abstract The paper deals with the identification and optimal control problems of structures involving more than one ‘phase’, as for example contact and noncontact zones, or elastic and plastic regions, which are not known a priori. The behaviour of these structures is described by convex or nonconvex energy functions. After a compact formulation of the problems as variational inequalities (the convex case), or as hemivariational inequalities (the nonconvex case), the optimal control problem is formulated and certain propositions are proved. These propositions are then applied to the optimal control and identification problems in elastoplasticity and contact problems.
Optimal control of structures with convex and nonconvex energy densities and variational and hemivariational inequalities
Panagiotopoulos, P.D. (author)
Engineering Structures ; 6 ; 12-18
1984-01-01
7 pages
Article (Journal)
Electronic Resource
English
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