Transient response due to a pair of antiplane point impact loading on the faces of a finite griffith crack at the bimaterial interface of anisotropic solids

• Published in: International journal of engineering science Vol. 36; no. 11; pp. 1197 - 1213
• Main Authors: Pramanik, R.K., Pal, S.C., Ghosh, M.L.
• Format: Journal Article
• Language: English
• Published: Oxford Elsevier Ltd 01.09.1998; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Vibrations and mechanical waves; Transient response; Transformation of coordinates; Half plane; Anisotropic material; Elastic wave; Modeling; Wiener Hopf method; Stress intensity factor; Wave scattering; Griffith crack; Crack tip; Interface crack; Elastodynamics; Mechanical shock
• ISSN: 0020-7225; 1879-2197
• DOI: 10.1016/S0020-7225(98)00019-6

The transient elastodynamic problem involving the scattering of elastic waves by a Griffith crack of finite width lying at the interface of two dissimilar anisotropic half planes has been analysed. The crack faces are subjected to a pair of suddenly applied antiplane line loads situated at the middle of the cracked surface. The problem has first been reduced to one with the interface crack of finite width lying between two dissimilar isotropic elastic half planes by a transformation of relevant coordinates and parameters. Spatial and time transforms are then applied to the governing differential equations and boundary conditions which yield generalized Wiener–Hopf type equations. The integral equations arising are solved by the standard iteration technique. Physically each successive order of iteration corresponds to successive scattered or rescattered wave from one crack tip to the other. Finally, expressions for the resulting mode III stress intensity factors are determined as a function of time for both symmetric and antisymmetric loadings. Each crack tip stress intensity factor has been plotted versus time for four pairs of different types of materials.