Micromechanical analysis of magneto-electro-thermo-elastic composite materials with applications to multilayered structures

International Journal of Engineering Science

Volumn 49, Issue 1, 2011, Pages 85-104

  Challagulla, K S ^a   Georgiades, A V ^b  

^a LAURENTIAN UNIVERSITY   (Canada)

^b CYPRUS UNIVERSITY OF TECHNOLOGY   (Cyprus)

Author keywords

Asymptotic homogenization; Effective coefficients; Magnetoelectric composite materials; Product properties

Indexed keywords

ASYMPTOTIC HOMOGENIZATION; CLOSED-FORM EXPRESSION; COBALT FERRITES; EFFECTIVE COEFFICIENTS; EFFECTIVE PROPERTY; FIGURE OF MERIT; GENERAL EXPRESSION; GOVERNING EQUATIONS; LONGITUDINAL DIRECTION; MAGNETOELECTRIC COEFFICIENTS; MAGNETOELECTRIC COMPOSITES; MAXIMUM VALUES; MICRO-MECHANICAL ANALYSIS; MULTI-LAYERED STRUCTURE; PIEZOMAGNETIC; PIEZOMAGNETIC PHASIS; PRODUCT PROPERTY; SMART COMPOSITES; SMART-COMPOSITE STRUCTURES; THERMO-ELASTIC COMPOSITES; UNIT CELLS;

ASYMPTOTIC ANALYSIS; BARIUM; BARIUM TITANATE; COBALT; COMPOSITE MATERIALS; COMPOSITE MICROMECHANICS; ENERGY CONVERSION; FERRITES; HOMOGENIZATION METHOD; MAGNETIC PERMEABILITY; PIEZOELECTRICITY; STRUCTURE (COMPOSITION); THERMAL EXPANSION; TITRATION; VOLUME FRACTION;

MATERIALS PROPERTIES;

EID: 78649632882     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2010.06.025     Document Type: Article

References (42)

1. J. Ryu, A.V. Carazo, K. Uchino, and H.-E. Kim Magnetoelectric properties in piezoelectric and magnetostrictive laminate composites Jpn. J. Appl. Phys. 40 2001 4948 4951 (Pubitemid 32991307)
2. R.E. Newnham, D.P. Skinner, and L.E. Cross Connectivity and piezoelectric-pyroelectric composites Mater. Res. Bull. 13 1978 525 536
3. C.-W. Nan, M.I. Bichurin, S. Dong, D. Viehland, and G. Srinivasan Multiferroic magnetoelectric composites: historical perspective, status, and future directions J. Appl. Phys. 103 3 2008 031101(1) 031101(35)
4. M.I. Bichurin, V.M. Petrov, and G. Srinivasan Modeling of magnetoelectric effect in ferromagnetic/piezoelectric multilayer composites Ferroelectrics 280 2002 165 175
5. M.I. Bichurin, V.M. Petrov, S.V. Averkin, and E. Liverts Present status of theoretical modeling the magnetoelectric effect in magnetostrictive- piezoelectric nanostructures. Part I: Low frequency electromechanical resonance ranges J. Appl. Phys. 107 5 2010 053904(1) 053904(11)
6. G. Harshé, J.P. Dougherty, and R.E. Newnham Theoretical modeling of multilayer magnetoelectric composites Int. J. Appl. Electromagn. Mater. 4 1993 145 159
7. I. Sevostianov, and M. Kachanov Effect of interphase layers on the overall elastic and conductive properties of matrix composites. Applications to nanosize inclusion Int. J. Solids Struct. 44 2007 1304 1315
8. S.K. Kanaun, and V.M. Levin The self-consistent field method in mechanics of matrix composite materials K.Z. Markov, Recent Advances in Mathematical Modelling of Composite Materials 1994 World Scientific Singapore 1 58
9. M. Avellaneda, and G. Harshé Magnetoelectric effect in piezoelectric/magnetostrictive multilayer (2-2) composites J. Intel. Mater. Syst. Struct. 5 1994 501 513
10. G. Srinivasan, E.T. Rasmussen, J. Gallegos, R. Srinivasan, Yu.I. Bokhan, and V.M. Laletin Magnetoelectric bilayer and multilayer structures of magnetostrictive and piezoelectric oxides Phys. Rev. B. 64 2001 214408(1) 214408(6)
11. Y. Benveniste Magnetoelectric effect in fibrous composites with piezoelectric and piezomagnetic phases Phys. Rev. B 51 22 1995 16424 16427
12. J.H. Huang, and W.-S. Kuo The analysis of piezoelectric/piezomagnetic composite materials containing ellipsoidal inclusions J. Appl. Phys. 81 3 1996 1378 1386
13. J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion, and related problems Proc. R. Soc. London, Ser. A 241 1957 376 396
14. C.W. Nan, M. Li, X. Feng, and S. Yu Possible giant magnetoelectric effect of ferromagnetic rare-earth-iron alloys-filled ferroelectric polymers Appl. Phys. Lett. 78 17 2001 2527 2529 (Pubitemid 33599161)
15. L. Li, and M.L. Dunn Micromechanics of magnetoelectroelastic composite materials: average fields and effective behaviour J. Intel. Mater. Syst. Struct. 9 1998 404 416
16. J. Aboudi Micromechanical analysis of fully coupled electro-magneto- thermo-elastic multiphase composites Smart Mater. Struct. 10 2001 867 877
17. J. Lee, J.G. Boyd, and D.C. Lagoudas Effective properties of three-phase electro-magnetoelastic composites Int. J. Eng. Sci. 43 2005 790 825
18. Y.X. Liu, J.G. Wan, J.-M. Liu, and C.W. Nan Numerical modeling of magnetoelectric effect in a composite structure J. Appl. Phys. 94 8 2003 5111 5117
19. Y.X. Liu, M. Zeng, Y. Wang, J.G. Wan, X.P. Jiang, and J.-M. Liu Numerical modeling of magnetoelectric effect in a novel composite structure Ceram. Int. 30 2004 1999 2003
20. J. Lee, J.G. Boyd IV, and D.C. Lagoudas Effective properties of three-phase electro-magneto-elastic composites Int. J. Eng. Sci. 43 2005 790 825
21. T. Tang, and W. Yu Variational asymptotic homogenization of heterogeneous electromagnetoelastic materials Int. J. Eng. Sci. 46 2008 741 757
22. T. Tang, and W. Yu Micromechanical modeling of the multiphysical behavior of smart materials using the variational asymptotic method Smart Mater. Struct. 18 12 2009 125026 14pp.
23. J.H. Wang, R. Guo, and A.S. Bhalla Finite element simulation of magnetostrictive and piezoelectric coupling in a layered structure Ferroelectrics Lett. 34 2007 46 53
24. A. Daga, N. Ganesan, and K. Shankar Studies on magnetoelectric effect for magneto-electro-elastic cylinder using finite element method Multidiscipline Model. Mater. Struct. 5 3 2009 307 310
25. A. Bensoussan, J.L. Lions, and G. Papanicolaou Asymptotic Analysis for Periodic Structures 1978 North-Holland Amsterdam
26. E. Sanchez-Palencia Non-Homogeneous Media and Vibration Theory Lect. Notes Phys. vol. 127 1980 Springer-Verlag
27. D. Cioranescu, and P. Donato An Introduction to Homogenization 1999 Oxford University Press Oxford
28. A.L. Kalamkarov, and A.V. Georgiades Micromechanical modeling of smart composite structures Smart Mater. Struct. 11 2002 423 434
29. A.L. Kalamkarov, and A.V. Georgiades Asymptotic homogenization models for smart composite plates with rapidly varying thickness: Part I Theory Int. J. Multiscale Comput. Eng. 2 2004 133 148
30. A.V. Georgiades, and A.L. Kalamkarov Asymptotic homogenization models for smart composite plates with rapidly varying thickness: Part I Theory Int. J. Multiscale Comput. Eng. 2 2004 149 172
31. A.V. Georgiades, A.L. Kalamkarov, and K.S. Challagulla Asymptotic homogenization model for smart network composite reinforced plates Smart Mater. Struct. 15 2006 1197 1210
32. K. Challagulla, A. Georgiades, and A. Kalamkarov Asymptotic homogenization modeling of thin composite network structures Compos. Struct. 79 3 2007 432 444
33. J. Bravo-Castillero, R. Rodriguez-Ramos, H. Mechkour, J. Otero, and F.J. Sabina Homogenization of magneto-electro-elastic multilaminated materials Q. J. Mech. Appl. Math. 61 3 2008 311 322
34. F. Devries, H. Dumontet, G. Duvaut, and F. Lene Homogenization and damage for composite structures Int. J. Numer. Methods Eng. 27 1989 285 298
35. A.L. Kalamkarov, and A.G. Kolpakov Analysis, Design and Optimization of Composite Structures 1997 Wiley New York
36. R. Rodrigues-Ramos, F.J. Sabina, R. Guinovart-Diaz, and J. Bravo-Castillero Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents - I. Elastic and square symmetry Mech. Mater. 33 2001 223 235 (Pubitemid 32264340)
37. R. Guinovart-Diaz, J. Bravo-Castillero, R. Rodrigues-Ramos, and F.J. Sabina Overall properties of piezoceramic material 1-3 Mater. Lett. 48 2001 93 98
38. J. Bravo-Castillero, R. Guinovart-Diaz, F.J. Sabina, and R. Rodrigues-Ramos Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents - II. Piezoelectric and square symmetry Mech. Mater. 33 2001 237 248 (Pubitemid 32264341)
39. I.V. Andrianov, V.I. Bolshakov, V.V. Danishevs'kyy, and D. Weichert Asymptotic simulation of imperfect bonding in periodic fibre-reinforced composite materials under axial shear Int. J. Mech. Sci. 49 12 2007 1344 1354
40. G.C. Saha, A.L. Kalamkarov, and A.V. Georgiades Effective elastic characteristics of honeycomb sandwich composite shells made of generally orthotropic materials Compos. Part A - Appl. 38 2007 1533 1546
41. E.M. Hassan, A.L. Kalamkarov, A.V. Georgiades, and K.S. Challagulla An asymptotic homogenization model for smart 3D grid-reinforced composite structures with generally orthotropic constituents Smart Mater. Struct. 18 2009 075006 16 pp.
42. O. Yoshihiro, and Y. Tanigawa Transient analysis of multilayered magneto-electro-thermoelastic strip due to nonuniform heat supply Compos. Struct. 66 2005 471 480 (Pubitemid 40032305)