Transfer Matrix Method of Wave Propagation in a Layered Medium With Multiple Interface Cracks: Antiplane Case-Reference-Cited by-同舟云学术

Transfer Matrix Method of Wave Propagation in a Layered Medium With Multiple Interface Cracks: Antiplane Case

Published:2000-08-10 Issue:3 Volume:68 Page:499-503
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Wang Y.-S.¹,Gross D.²

Affiliation:

1. Institute of Engineering Mechanics, Northern Jiaotong University, Beijing 100044, P. R. China

2. Institute of Mechanics, TU Darmstadt, Hochschulstr. 1, D-64289 Darmstadt, Germany

Abstract

The paper develops a universal method for SH-wave propagation in a multilayered medium with an arbitrary number of interface cracks. The method makes use of the transfer matrix and Fourier integral transform techniques to cast the mixed boundary value problem to a set of Cauchy singular integral equations of the first type which can be solved numerically. The paper calculates the dynamic stress intensity factors for some simple but typical examples.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/68/3/499/5467362/496_1.pdf

Reference23 articles.

1. Loeber, J. F., and Sih, G. C., 1973, “Transmission of Anti-Plane Shear Waves past an Interface Crack in Dissimilar Media,” Eng. Fract. Mech., 5, pp. 699–725.

2. Loeber, J. F., and Sih, G. C., 1973, “Torsional Waves Scattering About a Penny-Shaped Crack Lying on a Bimaterial Interface,” Dynamic Crack Propagation, G. C. Sih, ed., Noordhoff, Leydon, pp. 513–528.

3. Takai, M., Shindo, Y., and Atsumi, A., 1982, “Diffraction of Transient Horizontal Shear Waves by a Finite Crack at the Interface of Two Bonded Dissimilar Elastic Solids,” Eng. Fract. Mech., 16, pp. 799–807.

4. Srivastava, K. N., Palaiya, R. M., and Karaulia, D. S., 1980, “Interaction of Antiplane Shear Waves by a Griffith Crack at the Interface of Two Bonded Dissimilar Elastic Half-Spaces,” Int. J. Fract., 16, pp. 349–358.

5. Bostro¨m, A. , 1987, “Elastic Wave Scattering From an Interface Crack: Anti-Plane Strain,” ASME J. Appl. Mech., 54, pp. 503–508.

Cited by 13 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Mathematical Modeling of Elastic Waves Interaction with Interface Crack-Type Defects;Optical Metrology and Optoacoustics in Nondestructive Evaluation of Materials;2023

2. SH-Wave Scattering From the Interface Defect;Advances in Cyber-Physical Systems;2017-11-28

3. Interaction of a Guided Wave with a Crack in an Embedded Multilayered Anisotropic Plate: Global Matrix with Laplace Transform Formalism;Physics Procedia;2015

4. On the interaction of an elastic SH-wave with an interface crack in the perfectly rigid joint of a plate with a half-space;Journal of Mathematical Sciences;2013-07-05

5. Diffraction of elastic SH-waves on the interface crack in the rigid joint of a layer with interface;Materials Science;2012-05