中国物理B ›› 2008, Vol. 17 ›› Issue (12): 4592-4598.doi: 10.1088/1674-1056/17/12/043

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

The solution of a wedge disclination dipole interacting with an annular inclusion and the force acting on the disclination dipole

宋豪鹏, 方棋洪, 刘又文   

  1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, China
  • 收稿日期:2008-03-30 修回日期:2008-04-29 出版日期:2008-12-20 发布日期:2008-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos NNSFC 10872065 and 50801025).

The solution of a wedge disclination dipole interacting with an annular inclusion and the force acting on the disclination dipole

Song Hao-Peng (宋豪鹏), Fang Qi-Hong (方棋洪), Liu You-Wen (刘又文)   

  1. College of Mechanics and Aerospace, Hunan University, Changsha 410082, China
  • Received:2008-03-30 Revised:2008-04-29 Online:2008-12-20 Published:2008-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos NNSFC 10872065 and 50801025).

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摘要： The interaction between a wedge disclination dipole and an elastic annular inclusion is investigated. Utilizing the Muskhelishvili complex variable method, the explicit series form solutions of the complex potentials in the matrix and the inclusion region are derived. The image force acting on the disclination dipole center is also calculated. The influence of the location of the disclination dipole and the thickness of the annular inclusion as well as the elastic dissimilarity of materials upon the equilibrium position of the disclination dipole is discussed in detail. The results show that a stable equilibrium point of the disclination dipole near the inclusion is found for certain combinations of material constant. Moreover, the force on the disclination dipole is strongly affected by the position of the disclination dipole and the thickness of annular inclusion. The repulsion force incerases (or the attraction force reduces) with the increase of the thickness of the annular inclusion. An appropriate critical value of the thickness of the annular inclusion may be found to change the direction of the force on the disclination dipole. The present solutions include previous results as special cases.

Abstract: The interaction between a wedge disclination dipole and an elastic annular inclusion is investigated. Utilizing the Muskhelishvili complex variable method, the explicit series form solutions of the complex potentials in the matrix and the inclusion region are derived. The image force acting on the disclination dipole center is also calculated. The influence of the location of the disclination dipole and the thickness of the annular inclusion as well as the elastic dissimilarity of materials upon the equilibrium position of the disclination dipole is discussed in detail. The results show that a stable equilibrium point of the disclination dipole near the inclusion is found for certain combinations of material constant. Moreover, the force on the disclination dipole is strongly affected by the position of the disclination dipole and the thickness of annular inclusion. The repulsion force incerases (or the attraction force reduces) with the increase of the thickness of the annular inclusion. An appropriate critical value of the thickness of the annular inclusion may be found to change the direction of the force on the disclination dipole. The present solutions include previous results as special cases.

Key words: wedge disclination dipole, annular inclusion, image force

中图分类号:  (Linear defects: dislocations, disclinations)

  • 61.72.Lk
61.72.Hh (Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.)) 61.72.Qq (Microscopic defects (voids, inclusions, etc.)) 62.20.D- (Elasticity)