Elastic theory of dislocation loops in three-dimensional isotropic bi-materials

被引:3
|
作者
Yuan, J. H. [1 ,2 ]
Chen, W. Q. [3 ,4 ]
Pan, E. [5 ,6 ]
机构
[1] Tsinghua Univ, Ctr Mech & Mat, Beijing 100084, Peoples R China
[2] Tsinghua Univ, AML, Dept Engn Mech, Beijing 100084, Peoples R China
[3] Zhejiang Univ, Dept Engn Mech, Hangzhou 310027, Zhejiang, Peoples R China
[4] Zhejiang Univ, Key Lab Soft Machines & Smart Devices Zhejiang Pr, Hangzhou 310027, Zhejiang, Peoples R China
[5] Univ Akron, Dept Civil Engn, Akron, OH 44325 USA
[6] Univ Akron, Dept Appl Math, Akron, OH 44325 USA
基金
中国国家自然科学基金;
关键词
Green's function; Bi-material interface; Dislocation loop; Elastic field; Interaction energy; LINE-INTEGRAL REPRESENTATIONS; ARBITRARY DISLOCATION; INTERACTION ENERGY; DYNAMICS SIMULATIONS; PLASTIC-DEFORMATION; MESOSCOPIC SCALE; 2-PHASE MATERIAL; STRESS-FIELDS; DISPLACEMENT; BIMATERIALS;
D O I
10.1016/j.ijsolstr.2016.07.037
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We develop a novel elastic Green's function of point force in three-dimensional isotropic bi-materials that resembles the classical Kelvin solution in the corresponding infinite media. Based upon such a simple bi-material Green's function, we then investigate dislocation loops of arbitrary shape embedded in isotropic bi-materials. The main contribution of this work is an elegant extension of the classical Burgers' formula for displacements, Peach-Koehler's formula for stresses and Blin's formula for the interaction energy from the full-space case to the bi-material case. Most strikingly, our new formulae for bi-materials preserve the same simplicity as the classical expressions in the full space. The correctness of these extended formulae is verified by comparing them with available ones in the literature, and the importance of these formulae is on their direct application in the three-dimensional dislocation dynamics simulation involving interface or surface. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:138 / 150
页数:13
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