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.
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March 2018
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Configurational Forces on Elastic Line Singularities
Youjung Seo,
Youjung Seo
Program in Nano Science and Technology,
Graduate School of Convergence Science and Technology,
Seoul National University,
Seoul 08826, Republic of Korea
Graduate School of Convergence Science and Technology,
Seoul National University,
Seoul 08826, Republic of Korea
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Gyu-Jin Jung,
Gyu-Jin Jung
Department of Mechanical Engineering,
Hanyang University,
Ansan-si 15588, Gyeonggi-do, Republic of Korea
Hanyang University,
Ansan-si 15588, Gyeonggi-do, Republic of Korea
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In-Ho Kim,
In-Ho Kim
Graduate School of Education,
Ajou University,
Suwon-si 16499, Gyeonggi-do, Republic of Korea
Ajou University,
Suwon-si 16499, Gyeonggi-do, Republic of Korea
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Y. Eugene Pak
Y. Eugene Pak
Institute of Nano Convergence,
Advanced Institutes of Convergence Technology,
Suwon-si 16229, Gyeonggi-do, Republic of Korea
Advanced Institutes of Convergence Technology,
Suwon-si 16229, Gyeonggi-do, Republic of Korea
Search for other works by this author on:
Youjung Seo
Program in Nano Science and Technology,
Graduate School of Convergence Science and Technology,
Seoul National University,
Seoul 08826, Republic of Korea
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
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
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
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. Mar 2018, 85(3): 034501 (4 pages)
Published Online: January 16, 2018
Article history
Received:
September 26, 2017
Revised:
December 14, 2017
Citation
Seo, Y., Jung, G., Kim, I., and Eugene Pak, Y. (January 16, 2018). "Configurational Forces on Elastic Line Singularities." ASME. J. Appl. Mech. March 2018; 85(3): 034501. https://doi.org/10.1115/1.4038808
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