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V. V. Zozulya and O. V. Menshykov, “Use of the Constrained Optimization Algorithms in Some Problems of Fracture Mechanics,” Optimization and Engineering, Vol. 4, No. 4, 2003, pp. 365-384.

has been cited by the following article:

• TITLE: Nonsmooth Optimization Algorithms in Some Problems of Fracture Dynamics

  AUTHORS: V. V. Zozulya

  KEYWORDS: Unilateral Contact, Friction, Crack, Variational Principles, Boundary Variational Functional, Nonsmooth Optimization Algorithm

  JOURNAL NAME: Intelligent Information Management, Vol.2 No.11, November 30, 2010

  ABSTRACT: Mathematical statement of elastodynamic contact problem for cracked body with considering unilateral restrictions and friction of the crack faces is done in classical and weak forms. Different variational formulations of unilateral contact problems with friction based on boundary variational principle are considered. Nonsmooth optimization algorithms of Udzawa’s type for solution of unilateral contact problem with friction have been developed. Convergence of the proposed algorithms has been studied numerically.