Disappearance Conditions of Stress Singularities for Anisotropic Bimaterial Half-Plane Wedges Under Antiplane Shear

[+] Author and Article Information
Chuan-I Liu1

Department of Structure Analysis, Aerospace Industrial Development Corporation, Taichung, Taiwan, ROCchuaniliu@gmail.com

Ching-Hwei Chue

Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan, ROC


To whom correspondence should be addressed.

J. Appl. Mech 74(1), 1-7 (Feb 13, 2005) (7 pages) doi:10.1115/1.1989356 History: Received December 01, 2004; Revised February 13, 2005

Based on the anisotropic elasticity theory and Lekhnitskii’s complex potential functions, the analytical eigenequations of anisotropic bimaterial half-plane wedges under antiplane shear are derived in brief forms. The boundary surfaces of half-plane wedges can be combinations of free and/or clamped edges. The disappearance conditions of stress singularities can be obtained directly from the derived eigenequations, which can be applied to improve the safety of the structures. The interesting phenomenon on the periodic appearance of the singularity orders is proposed and discussed as well.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Geometry of two dissimilar anisotropic materials for half-plane wedge

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Figure 3

The variations of Θk(θ) with fiber orientation ηk when (a) mk=10; (b) mk=2; (c) mk=0.5

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Figure 2

The variations of Θk(θ) with fiber orientation ηk when (a) θ=60deg; (b) θ=90deg; (c) θ=120deg

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Figure 4

The variations of stress singularity λ−1 with Θ2−Θ1(ω=1)

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Figure 5

The conditions of nonsingular antiplane stress field for half-plane wedges with free-free or clamped-clamped edges when (a) m1=m2>1 and (b) m1=m2<1



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