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研究论文被Proc. Roy. Soc. Lond. A 接受发表

已有 6941 次阅读 2014-7-5 07:02 |系统分类:论文交流

     我与Alberta大学Peter Schiavone教授 (个人主页:http://www.mece.ualberta.ca/~schiavone/schiavon.htm) 合作的一篇论文被Proceedings of the Royal Society of London A 接受发表。以下是该论文题目和摘要:

Interaction of a Screw Dislocation with a Nano-Sized Arbitrary Shaped Inhomogeneity with Interface Stresses under Anti-Plane Deformations

Xu Wang
School of Mechanical and Power Engineering, East China University of Science and Technology,
130 Meilong Road, Shanghai 200237, China
E-Mail: xuwang@ecust.edu.cn

Peter Schiavone
Department of Mechanical Engineering, University of Alberta, 4-9 Mechanical Engineering Building
Edmonton, Alberta Canada T6G 2G8
E-Mail: p.schiavone@ualberta.ca

Abstract. We propose an elegant and concise general method for the solution of a problem involving the interaction of a screw dislocation and a nano-sized, arbitrarily shaped, elastic inhomogeneity in which the contribution of interface/surface elasticity is incorporated using a version of the Gurtin-Murdoch model. The analytic function inside the arbitrarily shaped inhomogeneity is represented in the form of a Faber series. The real periodic function arising from the contribution of the surface mechanics is then expanded as a Fourier series. The resulting system of linear algebraic equations is solved through the use of simple matrix algebra. When the elastic inhomogeneity represents a hole, our solution method simplifies considerably. Furthermore, we undertake an analytical investigation of the challenging problem of a screw dislocation interacting with two closely spaced nano-sized holes of arbitrary shape in the presence of surface stresses. Our solutions quite clearly demonstrate that the induced elastic fields and image force acting on the dislocation are indeed size-dependent.

Keywords: Arbitrary shaped inhomogeneity; Two holes of arbitrary shape; Screw dislocation; Surface elasticity; Faber series; Fourier series


Ahmadzadeh-Bakhshayesh, H., Gutkin, M. Y. & Shodja, H. M. 2012 Surface/interface effects on elastic behavior of a screw dislocation in an eccentric core–shell nanowire. Int. J. Solids Struct. 49, 1665-1675.
Chen, T., Dvorak, G. J. & Yu, C. C. 2007 Size-dependent elastic properties of unidirectional nano-composites with interface stresses. Acta Mech. 188, 39-54.
Dundurs, J. 1969 Elastic interaction of dislocations with inhomogeneities. In: Mathematical Theory of Dislocations (Mura T. eds.), pp. 70-115 ASME, New York.
Gao, C. F. & Noda, N. 2004 Faber series method for two-dimensional problems of arbitrarily shaped inclusion in piezoelectric materials. Acta Mech. 171, 1-13.
Gurtin, M. E. & Murdoch, A. 1975 A continuum theory of elastic material surfaces. Arch. Ration. Mech. Anal. 57, 291-323.
Gurtin, M. E., Weissmuller, J. & Larche, F. 1998 A general theory of curved deformable interface in solids at equilibrium. Philos. Mag. A 78, 1093-1109.
Kim, C. I., Schiavone, P. & Ru, C. Q. 2010 The effects of surface elasticity on an elastic solid with mode-III crack: complete solution. ASME J. Appl. Mech. 77, 021011-1-021011-7.
Kim, C. I., Schiavone, P. & Ru, C. Q. 2011a The effects of surface elasticity on mode-III interface crack. Arch. Mech. 63, 267-286.
Kim, C. I., Schiavone, P. & Ru, C. Q. 2011b Effect of surface elasticity on an interface crack in plane deformations. Proc. Roy. Soc. Lond. A 467, 3530-3549.
Luo, J. & Xiao, Z. M. 2009 Analysis of a screw dislocation interacting with an elliptical nano inhomogeneity. Int. J. Eng. Sci. 47, 883-893.
Ru, C. Q. 2010 Simple geometrical explanation of Gurtin-Murdoch model of surface elasticity with clarification of its related versions. Sci. China 53, 536-544.
Sharma, P. & Ganti, S. 2004 Size-dependent Eshelby’s tensor for embedded nano-inclusions incorporating surface/interface energies. ASME J. Appl. Mech. 71, 663-671.
Sharma, P., Ganti, S. & Bhate, N. 2003 Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Appl. Phys. Lett. 82, 535-537.
Shen, H., Schiavone, P., Ru, C. Q. & Mioduchowski, A. 2000 An elliptic inclusion with imperfect interface in anti-plane shear. Int. J. Solids Struct. 37, 4557-4575.
Tian, L. & Rajapakse, R. K. N. D 2007a Analytical solution for size-dependent elastic field of a nanoscale circular inhomogeneity. ASME J. Appl. Mech. 74, 568-574.
Tian, L. & Rajapakse, R. K. N. D 2007b Elastic field of an isotropic matrix with a nanoscale elliptical inhomogeneity. Int. J. Solids Struct. 44, 7988-8005.
Ting, T. C. T. 1996 Anisotropic Elasticity-Theory and Applications. Oxford University Press.
Wang, G. F. & Wang, T. J. 2006 Deformation around a nanosized elliptical hole with surface effect, Appl. Phys. Lett. 89, 161901-1-161901-3.
Wang, G. F., Wang, T. J. & Feng, X. Q. 2006 Surface effects on the diffraction of plane compressional waves by a nanosized circular hole. Appl. Phys. Lett. 89, 231923-1-231923-3.
Wang, X. & Schiavone, P. 2013 Surface effects in the deformation of an anisotropic elastic material with nano-sized elliptical hole. Mech. Res. Commun. 52, 57-61.
Wang, X. & Sudak, L. J. 2006 Interaction of a screw dislocation with an arbitrary shaped elastic inhomogeneity. ASME J. Appl. Mech. 73, 206-211.


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