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.
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Zozulya, V.V., Menshykov, O.V. Use of the Constrained Optimization Algorithms in Some Problems of Fracture Mechanics. Optimization and Engineering 4, 365–384 (2003). https://doi.org/10.1023/B:OPTE.0000005392.93831.b4
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DOI: https://doi.org/10.1023/B:OPTE.0000005392.93831.b4