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Use of the Constrained Optimization Algorithms in Some Problems of Fracture Mechanics
Authors:Vladimir V Zozulya  Oleksandr V Menshykov
Affiliation:(1) Centro de Investigacion Cienifica de Yucatan, A.C. Calle 43, No 130, Colonia: Chuburna de Hidalgo, C.P, 97200 Merida, Yucatan, Mexico;(2) Institute of Mechanics National Academy of Science of Ukraine, Russia;(3) Nesterov str. 3, 03057 Kiev, Ukraine
Abstract:In this paper we consider an algorithm of constrained optimization which arises from boundary variational principles of elastodynamics for bodies with cracks and unilateral constraints on the cracks edges. Variational formulation of unilateral contact problems with friction was considered, boundary variational functionals used with boundary integral equations were obtained and algorithm for solution of the unilateral contact problem with friction was developed. Some numerical results for 3-D elastodynamic unilateral contact problem for bodies with cracks are presented.
Keywords:variational principle  constrained optimization algorithm  boundary variational functional  unilateral contact and friction
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