Elastic fields due to dislocation arrays in anisotropic bimaterials

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Chu, Haijian¹  Pan, Ernian² 

[1] Shanghai Univ, Dept Mech, Shanghai 200444, Peoples R China

[2] Univ Akron, Comp Modeling & Simulat Grp, Akron, OH 44325 USA

关键词: Dislocations arrays;    Anisotropic bimaterial;    Green's function;    Stroh formalism;    Peach-Koehler force;   

DOI  :  10.1016/j.ijsolstr.2014.02.001

来源: Elsevier

【 摘 要 】

Based on the single-dislocation Green's function, analytical solutions of the elastic fields due to dislocation arrays in an anisotropic bimaterial system are derived by virtue of the Cottrell summation formula. The singularity in the Peach-Koehler (P-K) force is removed by both rigorous mathematical approach and physical energy consideration. Numerical results for dislocation arrays in the Cu/Nb bimaterial with Kurdjumov-Sachs (K-S) orientation show that: (1) the traction continuity and periodic condition are both satisfied; (2) the maximum magnitude of the traction at the interface due to a mixed dislocation array is smaller than that due to a single mixed dislocation. In other words, the traction at the interface could be suppressed by the corresponding array with a relatively high density (L < 10 nm); however, the shear stress on the glide plane increases with increasing dislocation density; (3) the Cu/Nb interface attracts the mixed dislocation array in copper and repels the screw one there. This implies that the P-K force depends not only on the material properties, but also on the crystal orientation and the type of Burgers vector, among others. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

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