Variational asymptotic homogenization of heterogeneous electromagnetoelastic materials

International Journal of Engineering Science

Volumn 46, Issue 8, 2008, Pages 741-757

  Tang, Tian ^a   Yu, Wenbin ^a  

^a Utah State University   (United States)

Author keywords

Composites; Electric; Heterogeneous; Magnetic; Variational asymptotic homogenization

Indexed keywords

ASYMPTOTIC ANALYSIS; COMPOSITE MATERIALS; COMPUTER PROGRAM LISTINGS; HOMOGENIZATION METHOD; MATHEMATICAL MODELS; MICROMECHANICS; MICROSTRUCTURE;

ELECTROMAGNETOELASTIC MATERIALS; VARIATIONAL ASYMPTOTIC HOMOGENIZATION;

MAGNETIC MATERIALS;

EID: 44749094067     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2008.03.002     Document Type: Article

References (21)

1. Van Run A., Terrell D., and Scholing J. An in situ grown eutectic magnetoelectric composite materials. Journal of Materials Science 9 (1974) 1710-1714
2. Bracke L., and Van Vliet R. A broadband magneto-electric transducer using a composite materials. International Journal of Electronics 51 (1981) 255-262
3. Harshe G., Dougherty J., and Newnham R. Theoretical modeling of 3-0/0-3 magnetoelectric composites. International Journal of Applied Electromagnetics in Materials 4 (1993) 161-171
4. Avellaneda M., and Harshe G. Magnetoelectric effect in piezoelectric/magnetostrictive multilayer(2-2) composites. Journal of Intelligent Material Systems and Structures 5 (1994) 501-513
5. Nan C. Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases. Physical Review B 50 9 (1994) 6082-6088
6. Benveniste Y. Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases. Physical Review B 51 9 (1995) 16424-16427
7. Li J., and Dunn M. Anisotropic coupled-field inclusion and inhomogeneity problems. Philosophical Magazine A 77 (1998) 1341-1350
8. Li J., and Dunn M. Micromechanics of magnetoelectroelastic composite materials: average fields and effective behavior. Journal of Intelligent Material Systems and Structures 9 (1998) 404-416
9. Wu T., and Huang J. Closed-form solutions for the magneto-electric coupling coefficients in fibrous composites with piezoelectric and piezomagnetic phases. International Journal of Solids and Structures 37 (2000) 2981-3009
10. Huang J., Liu H., and Dai W. The optimized fiber volume fraction for magneto-electric coupling effect in piezoelectric-piezomagnetic continuous fiber reinfored composites. International Journal of Engineering Science 38 (2000) 1207-1217
11. Aboudi J. Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites. Smart Materials and Structures 10 (2001) 867-877
12. Li J. Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials. International Journal of Engineering Science 38 (2000) 1993-2011
13. J. Boyd, C. Lagoudas, Arrays of micro-electrodes and electromagnets for proceeding of electro-magneto-elastic multifunctional composite materials, SPIE 10th Annual International Symposium on Smart Structures held at San Diego, CA March 2-6, vol. 5055, 2005, pp. 268-277.
14. Lee J., Boyd J., and Lagoudas D. Effective properties of three-phase electro-magneto-elastic composites. International Journal of Engineering Science 43 10 (2005) 790-825
15. Berdichevsky V.L. On averaging of periodic systems. PMM 41 6 (1977) 993-1006
16. Yu W., and Tang T. Variational asymptotic method for unit cell homogenization of periodically heterogeneous materials. International Journal of Solids and Structures 44 (2007) 3738-3755
17. Yu W., and Tang T. A variational asymptotic micromechanics model for predicting thermoelastic properties of heterogeneous materials. International Journal of Solids and Structures 44 22-23 (2007) 7510-7525
18. Tang T., and Yu W. A variational asymptotic micromechanics model for predicting conductivity of composite materials. Journal of Mechanics of Materials and Structures 2 9 (2007) 1813-1830
19. Tang T., and Yu W. A variational asymptotic model for predicting initial yielding surface and elastoplastic behavior of metal matrix composite materials. Proceedings of the 2007 ASME International Mechanical Engineering Congress and Exposition (2007), ASME, Seattle, Washington November 10-16
20. Soh A., and Liu J. On the constitutive equations of magnetoelectroelastic solids. Journal of Intelligent Material Systems and Structures 16 (2005) 597-602
21. Kunin I. Theory of Elastic Media with Microstructure vols. 1-2 (1982), Springer Verlag