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Solution of the 3-D elastodynamic contact problem for body with cracks using the BIEM and constrained optimization algorithm. (English) Zbl 1464.74256

Summary: Mathematical formulation and numerical solution of the 3-D elastodynamic contact problem for body with cracks have been considered here. Diffraction of the normally incident harmonic tension-compression P-waves and shear deformation SH- waves on the penny sharped crack in the 3-D space is studied with considering contact interaction of the crack edges. Boundary element method (BEM) along with constrained optimization algorithm which is based on variational principles and nonsmooth analysis has been used for the considered problem solution. Influence of the crack edges contact interaction on the stress intensity factor (SIF) have been studied.

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
65N38 Boundary element methods for boundary value problems involving PDEs
74M15 Contact in solid mechanics
74R10 Brittle fracture
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