Lattice model describing scale effects in nonlinear elasticity of nanoinhomogeneities

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 21, 2010, Pages

  Palla, Pier Luca ^a,b   Giordano, Stefano ^a,b   Colombo, Luciano ^a,b  

^a UNIVERSITY OF CAGLIARI   (Italy)

^b IOM CNR LABORATORIO TASC   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77955866128     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.214113     Document Type: Article

References (36)

1. T. Mura, Micromechanics of Defects in Solids (Kluwer Academic, Dordrecht, 1987).
2. R. J. Asaro and V. A. Lubarda, Mechanics of Solids and Materials (Cambridge University Press, Cambridge, 2006).
3. H. L. Duan, J. Wang, Z. P. Huang, and B. L. Karihaloo, J. Mech. Phys. Solids 53, 1574 (2005). 10.1016/j.jmps.2005.02.009
4. H. L. Duan, J. Wang, Z. P. Huang, and Z. Y. Luo, Mech. Mater. 37, 723 (2005). 10.1016/j.mechmat.2004.07.004
5. H. L. Duan X. Yi, Z. P. Huang, and J. Wang, Mech. Mater. 39, 81 (2007). 10.1016/j.mechmat.2006.02.009
6. H. L. Duan X. Yi, Z. P. Huang, and J. Wang, Mech. Mater. 39, 94 (2007). 10.1016/j.mechmat.2006.02.010
7. M. E. Gurtin and A. I. Murdoch, Arch. Ration. Mech. Anal. 57, 291 (1975). 10.1007/BF00261375
8. M. E. Gurtin and A. I. Murdoch, Int. J. Solids Struct. 14, 431 (1978). 10.1016/0020-7683(78)90008-2
9. H. L. Duan, J. Wang, Z. P. Huang, and B. L. Karihaloo, Proc. R. Soc. London, Ser. A 461, 3335 (2005). 10.1098/rspa.2005.1520
10. H. L. Duan, J. Wang, and B. L. Karihaloo, Adv. Appl. Mech. 42, 1 (2009). 10.1016/S0065-2156(08)00001-X
11. H. L. Duan, B. L. Karihaloo, J. Wang, and X. Yi, Nanotechnology 17, 3380 (2006). 10.1088/0957-4484/17/14/007
12. H. L. Duan, B. L. Karihaloo, J. Wang, and X. Yi, Phys. Rev. B 74, 195328 (2006). 10.1103/PhysRevB.74.195328
13. A. C. Eringen, Non-Local Continuum Field Theories (Springer-Verlag, New York, 2002).
14. J. D. Eshelby, Proc. R. Soc. London, Ser. A 241, 376 (1957). 10.1098/rspa.1957.0133
15. J. D. Eshelby, Proc. R. Soc. London, Ser. A 252, 561 (1959). 10.1098/rspa.1959.0173
16. S. Giordano, P. Palla, and L. Colombo, EPL 83, 66003 (2008). 10.1209/0295-5075/83/66003
17. S. Giordano, P. Palla, and L. Colombo, Eur. Phys. J. B 68, 89 (2009). 10.1140/epjb/e2009-00063-1
18. P. Sharma and S. Ganti, Phys. Status Solidi B 234, R10 (2002). 10.1002/1521-3951(200212)234:33.0.CO;2-5
19. M. Yang, J. C. Sturm, and J. Prevost, Phys. Rev. B 56, 1973 (1997). 10.1103/PhysRevB.56.1973
20. X. Zhang and P. Sharma, Phys. Rev. B 72, 195345 (2005). 10.1103/PhysRevB.72.195345
21. P. Sharma and S. Ganti, ASME J. Appl. Mech. 71, 663 (2004). 10.1115/1.1781177
22. P. Sharma, S. Ganti, and N. Bhate, Appl. Phys. Lett. 82, 535 (2003). 10.1063/1.1539929
23. S. Suresh, Science 292, 2447 (2001). 10.1126/science.1059716
24. D. S. Lin, J. L. Wu, S. Y. Pan, and T. C. Chiang, Phys. Rev. Lett. 90, 046102 (2003). 10.1103/PhysRevLett.90.046102
25. H. Y. Hwang, Science 313, 1895 (2006). 10.1126/science.1133138
26. Z. Erdélyi, M. Sladecek, L.-M. Stadler, I. Zizak, G. A. Langer, M. Kis-Varga, D. L. Beke, and B. Sepiol, Science 306, 1913 (2004). 10.1126/science.1104400
27. K. Bertoldi, D. Bigoni, and W. J. Drugan, J. Mech. Phys. Solids 55, 1 (2007). 10.1016/j.jmps.2006.06.004
28. K. Bertoldi, D. Bigoni, and W. J. Drugan, J. Mech. Phys. Solids 55, 35 (2007). 10.1016/j.jmps.2006.06.005
29. R. M. Christensen, Mechanics of Composite Materials (Dover, New York, 2005).
30. P. M. Ajayan, L. S. Schadler, and P. V. Braun, Nanocomposite Science and Technology (Wiley-VCH Verlag GmbH, Weinheim, 2003). 10.1002/3527602127
31. J. F. Nye, Physical Properties of Crystals (Oxford University Press, Oxford, 1985).
32. H. B. Huntington, The Elastic Constants of Crystals (Academic Press, New York, 1958).
33. P. L. Palla, S. Giordano, and L. Colombo, Phys. Rev. B 78, 012105 (2008). 10.1103/PhysRevB.78.012105
34. P. L. Palla, S. Giordano, and L. Colombo, Phys. Rev. B 80, 054105 (2009). 10.1103/PhysRevB.80.054105
35. T. Schnabel, J. Vrabec, and H. Hasse, J. Mol. Liq. 135, 170 (2007). 10.1016/j.molliq.2006.12.024
36. J. Wang, H. L. Duan, Z. P. Huang, and B. L. Karihaloo, Proc. R. Soc. London, Ser. A 462, 1355 (2006). 10.1098/rspa.2005.1637