Generic formalism for homogenization of coupled behavior: Application to magnetoelectroelastic behavior

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 21, 2008, Pages

  Corcolle, Romain ^a   Daniel, Laurent ^a   Bouillault, Frédéric ^a  

^a UNIV PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58549112772     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.214110     Document Type: Article

References (23)

1. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 43 (5), 717 (1996). 10.1109/TUFFC.1996.535477
2. R. L. Goldberg, M. J. Jurgens, D. M. Mills, C. S. Henriquez, D. Vaughan, and S. W. Smith, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 44, 1204 (1997). 10.1109/58.656622
3. M. Besbes, Z. Ren, and A. Razek, IEEE Trans. Magn. 32, 1058 (1996). 10.1109/20.497423
4. J. Lee, J. G. Boyd IV, and D. C. Lagoudas, Int. J. Eng. Sci. 43, 790 (2005). 10.1016/j.ijengsci.2005.01.004
5. N. Galopin, X. Mininger, F. Bouillault, and L. Daniel, IEEE Trans. Magn. 44, 834 (2008). 10.1109/TMAG.2008.915781
6. J. E. Huber, N. A. Fleck, C. M. Landis, and R. M. McMeeking, J. Mech. Phys. Solids 47, 1663 (1999). 10.1016/S0022-5096(98)00122-7
7. C.-W. Nan and G. J. Weng, Phys. Rev. B 61, 258 (2000). 10.1103/PhysRevB.61.258
8. A. Haug, J. E. Huber, P. R. Onck, and E. Van der Giessen, J. Mech. Phys. Solids 55, 648 (2007). 10.1016/j.jmps.2006.06.009
9. C.-W. Nan and G. J. Weng, Phys. Rev. B 60, 6723 (1999). 10.1103/PhysRevB.60.6723
10. R. Corcolle, L. Daniel, and F. Bouillault, IEEE Trans. Magn. 44, 17 (2008). 10.1109/TMAG.2007.910551
11. C.-W. Nan, Phys. Rev. B 50, 6082 (1994). 10.1103/PhysRevB.50.6082
12. J. Y. Li and M. L. Dunn, Mech. Mater. 31, 149 (1999). 10.1016/S0167-6636(98)00071-4
13. J. H. Huang, Y.-H. Chiu, and H.-K. Liu, J. Appl. Phys. 83, 5364 (1998). 10.1063/1.367365
14. R. Hill, J. Mech. Phys. Solids 13, 89 (1965). 10.1016/0022-5096(65)90023- 2
15. J. W. Hutchinson, Proc. R. Soc. London, Ser. A 319, 247 (1970). 10.1098/rspa.1970.0177
16. G. W. Milton, The Theory of Composites (Cambridge University Press, New York, 2001).
17. M. Bornert, T. Bretheau, and P. Gilormini, Homogenization in Mechanics of Materials (Iste, London, 2008).
18. L. Daniel and R. Corcolle, IEEE Trans. Magn. 43, 3153 (2007). 10.1109/TMAG.2007.896228
19. M. Avellaneda and G. Harshe, J. Intell. Mater. Syst. Struct. 5, 501 (1994). 10.1177/1045389X9400500406
20. C.-W. Nan, M. Li, X. Feng, and S. Yu, Appl. Phys. Lett. 78, 2527 (2001). 10.1063/1.1367293
21. T. Mura, Micromechanics of defects in solids (Martinus Nijhoff, Boston, 1982).
22. D. François, A. Pineau, and A. Zaoui, Mechanical Behavior of Materials: Elasticity and Plasticity (Kluwer, Norwell, 1998).
23. The corresponding MATLAB routines can be obtained on request.