Technical Brief

Configurational Forces on Elastic Line Singularities

[+] Author and Article Information
Youjung Seo

Program in Nano Science and Technology,
Graduate School of Convergence Science and Technology,
Seoul National University,
Seoul 08826, Republic of Korea

Gyu-Jin Jung

Department of Mechanical Engineering,
Hanyang University,
Ansan-si 15588, Gyeonggi-do, Republic of Korea

In-Ho Kim

Graduate School of Education,
Ajou University,
Suwon-si 16499, Gyeonggi-do, Republic of Korea

Y. Eugene Pak

Institute of Nano Convergence,
Advanced Institutes of Convergence Technology,
Suwon-si 16229, Gyeonggi-do, Republic of Korea

1Corresponding Author

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 26, 2017; final manuscript received December 14, 2017; published online January 16, 2018. Assoc. Editor: Shaoxing Qu.

J. Appl. Mech 85(3), 034501 (Jan 16, 2018) (4 pages) Paper No: JAM-17-1534; doi: 10.1115/1.4038808 History: Received September 26, 2017; Revised December 14, 2017

Configurational forces acting on two-dimensional (2D) elastic line singularities are evaluated by path-independent J-, M-, and L-integrals in the framework of plane strain linear elasticity. The elastic line singularities considered in this study are the edge dislocation, the line force, the nuclei of strain, and the concentrated couple moment that are subjected to far-field loads. The interaction forces between two similar parallel elastic singularities are also calculated. Self-similar expansion force, M, evaluated for the line force shows that it is exactly the negative of the strain energy prelogarithmic factor as in the case for the well-known edge dislocation result. It is also shown that the M-integral result for the nuclei of strain and the L-integral result for the line force yield interesting nonzero expressions under certain circumstances.

Copyright © 2018 by ASME
Topics: Stress , Dislocations
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Grahic Jump Location
Fig. 2

In-plane elastic singularities: (a) edge dislocation, (b) line force, (c) nuclei of strain, and (d) concentrated couple moment, interacting with identical parallel line singularities in an infinite medium

Grahic Jump Location
Fig. 1

In-plane elastic singularities: (a) edge dislocation, (b) line force, (c) nuclei of strain, and (d) concentrated couple moment, subjected to the far-field loads, σij∞, in an infinite medium




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