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Stress Field for a Coated Triangle-Like Hole Problem in Plane Elasticity

Published online by Cambridge University Press:  10 December 2019

S. C. Tseng ,
C. K. Chao Open the ORCID record for C. K. Chao [Opens in a new window]  and
F. M. Chen
S. C. Tseng
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan
C. K. Chao*
Affiliation:
Department of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan
F. M. Chen
Affiliation:
Department of Mechanical Engineering, Nan Kai University of Technology, Nantou County, Taiwan
*
*Corresponding author (ckchao@mail.ntust.edu.tw)
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Abstract

The stress field induced by an edge dislocation or a point force located near a coated triangle-like hole in an infinite plate is provided in this paper. Based on the method of analytical continuation and the technique of conformal mapping in conjunction with the alternation technique, a series solution for the displacement and stresses in the coating layer and the matrix is obtained analytically. Examples for the interaction between an edge dislocation and a coated triangle-like hole for various material constant combinations, coating thicknesses and shape factors are discussed. The analysis discovers that the so-called trapping mechanism of dislocations is more likely to exist near a coated triangle-like hole. The result shows that the dislocation will first be repelled by the coating layer and then attracted by a hole when the coating layer is slightly stiffer than the matrix. However, when the coating layer is sufficiently thin, the dislocation will always be attracted by a hole even the coating layer is stiffer than the matrix.

Keywords

Coating layerPlane elasticityShape factorsDislocations
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 1 , February 2020 , pp. 55 - 72
Copyright
Copyright © 2019 The Society of Theoretical and Applied Mechanics 

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