Towards rapid evaluation of the elastic interactions among three-dimensional dislocations

Gregory J. Rodin

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Towards rapid evaluation of the elastic interactions among three-dimensional dislocations

机译：快速评估三维位错之间的弹性相互作用

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It is demonstrated that, mathematically, the elementary three-dimensional dislocation segment is equivalent to ten electrostatic charges and therefore the elastic interactions among such segments can be computed in O(N) operations via ten-fold application of the fast multipole method.

机译：从数学上证明，基本的三维位错片段相当于十个静电荷，因此可以通过快速多极方法的十倍应用，在O（N）操作中计算这些片段之间的弹性相互作用。

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《Philosophical Magazine Letters》 |1998年第4期|共4页
作者
Gregory J. Rodin;
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正文语种 eng
中图分类物理学;
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专利

1. Towards rapid evaluation of the elastic interactions among three-dimensional dislocations [J] . Gregory J. Rodin Philosophical Magazine Letters . 1998,第4期

机译：快速评估三维位错之间的弹性相互作用
2. Three-dimensional elastic displacements induced by a dislocation of polygonal shape in anisotropic elastic crystals [J] . Chu H.J., Pan E., Wang J., International Journal of Solids and Structures . 2011,第7a8期

机译：各向异性弹性晶体中多边形错位引起的三维弹性位移
3. Experimental Study of the Elastic‐Modulus Effect in the Interaction of Vacancies with Dislocations and Dislocation Ribbons in Pure Silver [J] . Shieh W. T., Ricketts B. G. Journal of Applied Physics . 1970,第2期

机译：纯银中空位与位错和位错带相互作用中的弹性模量效应的实验研究
4. Parametric Dislocation Dynamics and Boundary Element Modeling of Elastic Interaction between Dislocations and Precipitates [C] . Akiyuki Takahashi NATO Advanced Study Institute on Materials Issues for Generation IV Systems : Status, Open Questions and Challenges . 2008

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5. Evolution, interaction, and intrinsic properties of dislocations in intermetallics: Anisotropic three-dimensional dislocation dynamics approach. [D] . Chen, Qian. 2008

机译：金属间化合物中位错的演化，相互作用和内在性质：各向异性三维位错动力学方法。
6. Configuration and local elastic interaction of ferroelectric domains and misfit dislocation in PbTiO3/SrTiO3 epitaxial thin films [O] . Takanori Kiguchi, Kenta Aoyagi, Yoshitaka Ehara, 2011

机译：PbTiO3 / SrTiO3外延薄膜中铁电畴的构型和局部弹性相互作用以及失配位错
7. A new dislocation-density-function dynamics scheme for computational crystal plasticity by explicit consideration of dislocation elastic interactions [O] . Leung HS, Ngan AHW, Leung PSS, 2015

机译：一种新的位错密度函数动力学方案，用于计算晶体可塑性，通过明确考虑位错弹性相互作用

Towards rapid evaluation of the elastic interactions among three-dimensional dislocations

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