Analysis of a screw dislocation interacting with an elliptical nano inhomogeneity

International Journal of Engineering Science

Volumn 47, Issue 9, 2009, Pages 883-893

  Luo, J ^a   Xiao, Z M ^b  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

Conformal mapping; Image force; Interface surface stress effects; Nano inhomogeneity; Screw dislocation

Indexed keywords

COMPLEX VARIABLE; CONFORMAL MAPPING METHOD; ELASTIC MISMATCH; IMAGE FORCE; INHOMOGENEITY; INTERFACE STRESS; INTERFACE/SURFACE STRESS EFFECTS; INTERFACIAL PROPERTY; MATRIX; NANO INHOMOGENEITY; SCREW DISLOCATION; SCREW DISLOCATIONS; SEMI-ANALYTICAL; STRESS FIELD;

ASPECT RATIO;

CONFORMAL MAPPING;

EID: 67649458039     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2009.05.007     Document Type: Article

References (36)

1. Sun B.B., Sui M.L., Wang Y.M., He G., Eckert J., and Ma E. Ultrafine composite microstructure in a bulk Ti alloy for high strength, strain hardening and tensile ductility. Acta Mater. 54 (2006) 1349-1357
2. Kumar K.S., Van Swygenhoven H., and Suresh S. Mechanical behavior of nanocrystalline metals and alloys. Acta Mater. 51 (2003) 5743-5774
3. Xiao Z.M., and Chen B.J. A screw dislocation interacting with a coated fiber. Mech. Mater. 32 (2000) 485-494
4. Xiao Z.M., and Chen B.J. On the interaction between an edge dislocation and a coated inclusion. Int. J. Solids Struct. 38 (2001) 2533-2548
5. Cammarata R.C. Surface and interface stress effects in thin films. Prog. Surf. Sci. 46 (1994) 1-38
6. Miller R.E., and Shenoy V.B. Size-dependent elastic properties of nanosized structural elements. Nanotechnology 11 (2000) 139-147
7. Wong E.W., Sheehan P.E., and Lieber C.M. Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. Science 277 (1997) 1971-1975
8. Shenoy V.B. Size-dependent rigidities of nanosized torsional elements. Int. J. Solids Struct. 39 (2002) 4039-4052
9. Yang F.Q. Size-dependent effective modulus of elastic composite materials: spherical nanocavities at dilute concentrations. J. Appl. Phys. 95 (2004) 3516-3520
10. Gurtin M.E., and Murdoch A.I. A continuum theory of elastic material surfaces. Arch. Ration. Mech. Anal. 57 (1975) 291-323
11. Gurtin M.E., and Murdoch A.I. Surface stress in solids. Int. J. Solids Struct. 14 (1978) 431-440
12. Gurtin M.E., Weissmuller J., and Larche F. A general theory of curved deformable interfaces in solids at equilibrium. Philos. Mag. A 78 (1998) 1093-1109
13. Sharma P., and Ganti S. Interfacial elasticity corrections to size-dependent strain-state of embedded quantum dots. Phys. Status Solidi 234 (2002) R10-R12
14. Sharma P., Ganti S., and Bhate N. Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Appl. Phys. Lett. 82 (2003) 535-537
15. Sharma P., and Ganti S. Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies. J. Appl. Mech. 71 (2004) 663-671
16. Duan H.L., Wang J., Huang Z.P., and Luo Z.Y. Stress concentration tensors of inhomogeneities with interface effects. Mech. Mater. 37 (2005) 723-736
17. Duan H.L., Wang J., Huang Z.P., and Karihaloo B.L. Eshelby formalism for nano-inhomogeneities. Proc. R. Soc. Lond. A 461 (2005) 3335-3353
18. He L.H., and Li Z.R. Impact of surface stress on stress concentration. Int. J. Solids Struct. 43 (2006) 6208-6219
19. Lim C.W., Li Z.R., and He L.H. Size-dependent, non-uniform elastic field inside a nano-scale spherical inclusion due to interface stress. Int. J. Solids Struct. 43 (2006) 5055-5065
20. Wang G.F., and Wang T.J. Deformation around a nanosized elliptical hole with surface effect. Appl. Phys. Lett. 89 (2006) 161901
21. Wang G.F., Feng X.Q., and Yu S.W. Interface effects on the diffraction of plane compressional waves by a nanosized spherical inclusion. J. Appl. Phys. 102 (2007) 043533
22. Tian L., and Rajapaksek R.K.N.D. Elastic field of an isotropic matrix with a nanoscale elliptical inhomogeneity. Int. J. Solids Struct. 44 (2007) 7988-8005
23. Mogilevskaya S.G., Crouch S.L., and Stolarski H.K. Multiple interacting circular nano-inhomogeneities with surface/interface effects. J. Mech. Phys. Solids 56 (2008) 2298-2327
24. Ou Z.Y., Wang G.F., and Wang T.J. Elastic fields around a nanosized spheroidal cavity under arbitrary uniform remote loadings. Eur. J. Mech. A/Solids 28 (2009) 110-120
25. Sun L., Wu Y.M., Huang Z.P., and Wang J.X. Interface effect on the effective bulk modulus of a particle-reinforced composite. Acta Mech. Sin. 20 (2004) 676-679
26. Duan H.L., Wang J., Huang Z.P., and Karihaloo B.L. Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. J. Mech. Phys. Solids 53 (2005) 1574-1596
27. Chen T. Exact size-dependent connections between effective moduli of fibrous piezoelectric nanocomposites with interface effects. Acta Mech. 196 (2008) 205-217
28. Chen T., Dvorak G.J., and Yu C.C. Size-dependent elastic properties of unidirectional nano-composites with interface stresses. Acta Mech. 188 (2007) 39-54
29. Duan H.L., Wang J., Karihaloo B.L., and Huang Z.P. Nanoporous materials can be made stiffer that non-porous counterparts by surface modification. Acta Mater. 54 (2006) 2983-2990
30. Zhang W.X., and Wang T.J. Effect of surface energy on the yield strength of nanoporous materials. Appl. Phys. Lett. 90 (2007) 063104
31. Fang Q.H., and Liu Y.W. Size-dependent elastic interaction of a screw dislocation with a circular nano-inhomogeneity incorporating interface stress. Scripta Mater. 55 (2006) 99-102
32. Fang Q.H., and Liu Y.W. Size-dependent interaction between an edge dislocation and a nanoscale inhomogeneity with interface effects. Acta Mater. 54 (2006) 4213-4220
33. Fang Q.H., Liu Y.W., Jin B., and Wen P.H. Interaction between a dislocation and a core-shell nanowire with interface effects. Int. J. Solids Struct. 46 (2009) 1539-1546
34. Muskhelishvili N.I. Some Basic Problems of the Mathematical Theory of Elasticity (1963), P. Noodhoff Ltd., Grogingen, The Netherlands
35. England A.H. Complex Variable Methods in Elasticity (1971), Wiley Interscience, London
36. Shen H., Schiavone P., Ru C.Q., and Mioduchowski A. An elliptic inclusion with imperfect interface in anti-plane shear. Int. J. Solids Struct. 37 (2000) 4557-4575