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Contact problem for the flat crack under two normally incident shear H-waves with wave mode-shifting
Authors:A.N. Guz
Affiliation:a S.P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Nesterov str. 3, 03057 Kiev, Ukraine
b Centro de Investigation Cientifica de Yucatan A.C., Calle 43, No. 130, Colonia: Chuburna de Hidalgo C.P. 97200, Merida, Yucatan, Mexico
Abstract:The frictional contact interaction of the finite crack edges in an infinite plane is studied for the case of normal incidence of two harmonic shear H-waves with multiple mode-shifted frequencies. Boundary integral equation method and constrained optimization algorithm are used for the problem solution. The forces of contact interaction and displacement discontinuity are analyzed. Influence of the waves frequencies on the stress intensity factor for different normalized wave numbers and coefficients of friction is considered here.
Keywords:Crack   Frictional contact   Harmonic wave   BIE   Fracture
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