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Title of Journal: J Math Sci

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Abbravation: Journal of Mathematical Sciences

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Springer US

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DOI

10.1007/s100520000469

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1573-8795

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Dynamic stresses in a compound body with circular

Authors: V V Mykhas’kiv V Z Stankevych E V Glushkov N V Glushkova
Publish Date: 2011/06/23
Volume: 176, Issue: 4, Pages: 590-599
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Abstract

We have considered the threedimensional problem of harmonic loading of a circular crack in an elastic composite consisting of two dissimilar halfspaces under sliding contact on the surface of their bonding The defect is situated in one of the halfspaces perpendicularly to the interface of materials Using the representations of solutions in the form of Helmholtz potentials we have reduced the problem to a boundary integral equation for the function of dynamic defect opening Based on the numerical solution of this equation we have obtained the frequency dependences of mode I stress intensity factor near the crack for different relations between the elastic moduli of components of the composite and the depths of crack location with respect to the interface

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