Moving Three Collinear Griffith Cracks at Orthotropic Interface

Journal of Solid Mechanics

مقاله 14، دوره 12، شماره 3، آذر 2020، صفحه 681-699   

نوع مقاله: Research Paper

شناسه دیجیتال (DOI): 10.22034/jsm.2020.1894276.1554

نویسندگان

P Mandal^{* 1}؛ S.C Mandal²

¹Department of Civil Engineering, Indian Institute of Technology, Hyderabad, India

²Department of Mathematics, Jadavpur University, India

چکیده

This work deals with the interaction of P-waves between a moving central crack and a pair of outer cracks situated at the interface of an orthotropic layer and an elastic half-space. Initially, we considered a two-dimensional elastic wave equation in orthotropic medium. The Fourier transform has been applied to convert the basic problem to solve the set of four integral equations. These set of integral equations have been solved to to get the analytical expressions for the stress intensity factor (SIF) and crack opening displacements (COD) by using the finite Hilbert transform technique and Cooke’s result. The main objective of this work is to investigate the dynamic stress intensity factors and crack opening displacement at the tips of the cracks. The aims of the study of these physical quantities (SIF, COD) is the prediction of possible arrest of the cracks within a certain range of crack velocity by monitoring applied load. SIF and COD have been depicted graphically for various types of orthotropic materials. We presented a parametric study to explore the influence of crack growing  and propagation. This result is very much applicable in bridges, roads, and buildings fractures.

کلیدواژه‌ها

Moving Griffith crack؛ Orthotropic media؛ P-wave؛ Stress intensity factor؛ Crack opening displacement

مراجع

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