Nonsteady motion of a transverse-shear crack across the interface between elastic media

  • I. V. Simonov
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Abstract

This article examines the motion of a crack along the line joining two different elastic half-planes under the influence of variable shear stresses. Analogous to the case of a homogeneous medium [1–3], the law of motion of the edge is assumed to be known. Among the features of the physical situation being examined are the nonsymmetrical character of the solution with a symmetrical load distribution and the dependence of the number of Rayleigh wave which can be generated (two, one, none) on the ratios of the elastic parameters. The problem decomposes in the image space into a scalar problem of conjugating two functions reflecting the connection between the displacement discontinuity on the crack and the shear stress on the crack extension. The formula must then be inverted to represent the normal stress. The solution is constructed by the method of factorization, which was used in [2, 3] for a problem with a movable separation point for the boundary conditions. The properties of the Rayleigh boundary function for contacting elastic bodies are also studied. It is shown that the Holder continuity condition for the input functions is sufficient to determine the asymptotes at the edge of the crack, analogous to the case of steady crack movement [4]. With transformations of the convolutions, we used the methods of contour integration and applied the residue theorem. This made it possible to somewhat simplify the results [2]. The subject of crack starting is addressed in an examination of special types of loading. The solution of a similarity problem was given in [5].

Keywords

Shear Stress Rayleigh Wave Input Function Crack Extension Load Distribution 

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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • I. V. Simonov
    • 1
  1. 1.Moscow

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