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Title: Criterion of mechanical instabilities for dislocation structures
Authors: Yan, Yabin
Kondo, Tadahiro
Shimada, Takahiro  kyouindb  KAKEN_id  orcid https://orcid.org/0000-0002-8404-5673 (unconfirmed)
Sumigawa, Takashi  kyouindb  KAKEN_id
Kitamura, Takayuki  kyouindb  KAKEN_id
Keywords: Criterion
Instability
Dislocation structure
Vein
Dislocation wall
Deformation mode
Dislocation theory
Issue Date: Feb-2012
Publisher: Elsevier B.V.
Journal title: Materials Science and Engineering: A
Volume: 534
Start page: 681
End page: 687
Abstract: To understand the nature of mechanical instabilities of dislocation structures, which plays a central role, for example, in determining the plastic behavior and fatigue in crystalline metals, it is essential to investigate a critical condition in which a dislocation structure collapses. A criterion for the mechanical instability of arbitrary dislocation structures is proposed in this paper. According to the criterion, the mechanical instability can be described by the positiveness of the minimum eigenvalue of the Hessian matrix, which is composed by the second-order differential of potential energy of the system with respect to the dislocation coordinates. In addition, the collapse mode can be simultaneously determined by the eigenvector of the minimum eigenvalue. We applied the proposed criterion to the veins and dislocation walls under external loading, and it successfully describes the onset of instabilities and the corresponding collapse modes, regardless of the difference in structures and sizes. This success in the criterion paves the way to address the mechanical instability issues on more complex dislocation structures.
Rights: © 2011 Elsevier B.V.
この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。This is not the published version. Please cite only the published version.
URI: http://hdl.handle.net/2433/153280
DOI(Published Version): 10.1016/j.msea.2011.12.027
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