Interaction of Circular Lining and Interior Linear Crack by Incident SH-Wave

Author:

Li Hong Liang1,Han Guang Cai1,Li Hong2

Affiliation:

1. Harbin Engineering University

2. Harbin Institute of Technology

Abstract

In this paper, the method of Green’s function is used to investigate the problem of dynamic stress concentration of circular lining and interior linear crack impacted by incident SH-wave. The train of thought for this problem is that: Firstly, a Green’s function is constructed for the problem, which is a fundamental solution of displacement field for an elastic space possessing a circular lining while bearing out-of-plane harmonic line source force at any point in the lining. In terms of the solution of SH-wave’s scattering by an elastic space with a circular lining, anti-plane stresses which are the same in quantity but opposite in direction to those mentioned before, are loaded at the region where the crack existent actually, we called this process “crack-division”. Finally, the expressions of the displacement and stress are given when the lining and the crack exist at the same time. Then, by using the expressions, some example is provided to show the effect of crack on the dynamic stress concentration around circular lining.

Publisher

Trans Tech Publications, Ltd.

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Reference5 articles.

1. Y. Yang and A. Norris: Shear Wave Scattering from a Debonded Fiber. Mech. Phys. Solids, Vol. 39, pp.273-280(1991).

2. Wang Yuesheng, Wang Duo: Dynamic Stress Intensity Factors of Circular Arc-shaped Interface Cracks Subjected to Shear Wave. Acta Mechanica Solida Sinica, Vol. 14, No. 4, pp.362-367(1993).

3. Karim M.R., Awal M.A., Kundu T.: Elastic Wave Scattering by Cracks and Inclusions in Plates: In-Plane Case. International Journal of Solids and Structures, Vol. 29, No. 19, pp.2355-2367(1992).

4. Li HongLiang, Liu DianKui: Interaction of SH-Waves by Cracks with Circular Inclusion(in Chinese). Journal of Harbin Engineering University, Vol. 25, No. 5, pp.618-622(2004).

5. Zhang XueYi, Liu DianKui , Li HongLiang : Interaction of Circular Lining and Linear Crack by incident SH-wave(in Chinese). Journal of Harbin Engineering University, Vol. 27, No. 4, pp.514-518(2006).

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