Micromechanical modeling of the multiphysical behavior of smart materials using the variational asymptotic method

Smart Materials and Structures

Volumn 18, Issue 12, 2009, Pages

  Tang, Tian ^a,b   Yu, Wenbin ^a  

^a Utah State University   (United States)

^b MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EFFECTIVE PROPERTY; FINITE ELEMENT TECHNIQUES; FULLY-COUPLED; LOCAL FIELDS; MECHANICAL FIELD; MICRO MECHANICS MODEL; MICRO-MECHANICAL MODELING; MICROMECHANICS MODELING; MULTI-PHYSICS; SMART MATERIALS; UNIT CELLS; VARIATIONAL ASYMPTOTIC METHODS;

ASYMPTOTIC ANALYSIS; ELECTRIC FIELDS; ELECTRIC PROPERTIES; HOMOGENIZATION METHOD; MECHANICAL PROPERTIES; THERMOELECTRICITY;

COMPOSITE MICROMECHANICS;

EID: 70450170795     PISSN: 09641726     EISSN: 1361665X     Source Type: Journal    
DOI: 10.1088/0964-1726/18/12/125026     Document Type: Article

References (25)

1. Nan C W 1994 Magnetoelectric effect in composites of piezoelectric and piezomagnetic phases Phys. Rev. B 50 6082-8
2. Lagoudas D C, Boyd J G and Bo Z 1994 Micromechanics of active composites with sma fibers J. Eng. Mater. Technol. 116 337-45
3. Ekimov E A et al 2002 Mechanical behavior and microstructure of nanodiamond-based composite materials J. Mater. Sci. Lett. 21 1699-702
4. Shen L and Li J 2005 Homogenization of a fiber/sphere with an inhomogeneous interphase for the effective elastic moduli of composites Proc. R. Soc. A 461 1475-504
5. Sevostianov I and Kachanov M 2006 Homogenization of a nanoparticle with graded interphase Int. J. Fract. 139 121-7
6. Li J Y and Dunn M L 1998 Micromechanics of magnetoelectroelastic composite materials: average fields and effective behavior J. Intell. Mater. Syst. Struct. 9 404-16
7. Mori T and Tanaka K 1973 Average stress in matrix and average elastic energy of materials with misfitting inclusions Acta Metall. 21 571-4
8. Aboudi J 2001 Micromechanical analysis of fully coupled electro-magneto-thermo-elastic multiphase composites Smart Mater. Struct. 10 867-77
9. Lee J S, Boyd J G and Lagoudas D C 2005 Effective properties of three-phase electro-magneto-elastic composites Int. J. Eng. Sci. 43 790-825
10. Tang T and Yu W 2008 Variational asymptotic homogenization of heterogeneous electromagnetoelastic materials Int. J. Eng. Sci. 46 741-57
11. Yu W and Tang T 2007 Variational asymptotic method for unit cell homogenization of periodically heterogeneous materials Int. J. Solids Struct. 44 3738-55
12. Yu W and Tang T 2007 A variational asymptotic micromechanics model for predicting thermoelastic properties of heterogeneous materials Int. J. Solids Struct. 44 7510-25 (Pubitemid 47451409)
13. Tang T and Yu W 2007 A variational asymptotic micromechanics model for predicting conductivity of composite materials J. Mech. Mater. Struct. 2 1813-30
14. Tang T and Yu W 2008 Variational asymptotic micromechanics modeling of heterogeneous piezoelectric materials Mech. Mater. 40 812-24
15. Berdichevsky V L 1979 Variational-asymptotic method of constructing a theory of shells Prikl. Mat. Mekh. 43 664-87
16. Bensoussan A, Lions J L and Papanicolaou G 1978 Asymptotic Analysis for Periodic Structures (Amsterdam: North-Holland)
17. Guedes J M and Kikuchi N 1990 Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element method Comput. Methods Appl. Mech. Eng. 83 143-98
18. Kalamkarov A L and Kolpakov A G 1997 Analysis, Design and Optimization of Composite Structures vol 1 and 2 (New York: Wiley)
19. Berdichevsky V L 1977 On averaging of periodic systems Prikl. Mat. Mekh. 41 993-1006
20. Kunin I 1982 Theory of Elastic Media with Microstructure vol 1 and 2 (Berlin: Springer)
21. Tang T 2008 Variational asymptotic micromechanics modeling of composite materials PhD Thesis Mechanical and Aerospace Engineering, Utah State University August 2008
22. Berger H, Gabbert U, Köppe R R, Bravo-Castillero J, Guinovart-Diaz R, Otero J A and Maugin G A 2003 Finite element and asymptotic homogenization methods applied to smart composite materials Comput. Mech. 33 61-7
23. Berger H, Kari S, Gabbert U, Rodriguez-Ramos R, Guinovart-Diaz R, Otero J A and Bravo-Castillero J 2005 An analytical and numerical approach for calculating effective material coefficients of piezoelectric fiber composites Int. J. Solids Struct. 42 5692-714 (Pubitemid 41084824)
24. Guinovart-Diaz R, Bravo-Castillero J, Rodriguez-Ramos R and Sabina F J 2001 Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents i. elastic and hexagonal symmetry J. Mech. Phys. Solids 49 1445-62 (Pubitemid 32471280)
25. Sabina F J, Rodriguez-Ramos R, Bravo-Castillero R and Guinovart-Diaz J 2001 Closed-form expressions for the effective coefficients of a fiber-reinforced composite with transversely isotropic constituents i. piezoelectric and hexagonal symmetry J. Mech. Phys. Solids 49 1463-79 (Pubitemid 32471281)