Local electroelastic field and effective electroelastic moduli of piezoelectric nanocomposites with interface effect

Computers, Materials and Continua

Volumn 29, Issue 3, 2012, Pages 279-298

  Yang, Shasha ^a   Hu, Shuling ^a   Shen, Shengping ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

Green's function; Interface effect; Nanocomposites; Piezoelectrics

Indexed keywords

DISTRIBUTION MODELS; EIGEN-STRAIN; ELASTIC THEORY; ELECTRO-ELASTIC FIELDS; ELECTROELASTIC MODULI; INTERFACE EFFECT; INTERFACE PARAMETERS; NANO-INHOMOGENEITIES; NANO-SCALE OBJECTS; NUMERICAL RESULTS; OVERALL PROPERTIES; PIEZOELECTRIC MEDIUM; PIEZOELECTRICS; SPHERICAL INCLUSION; SURFACE AREA; SURFACES AND INTERFACES; TRANSVERSELY ISOTROPIC;

ELECTRIC FIELDS; GREEN'S FUNCTION; NANOCOMPOSITES; PIEZOELECTRICITY;

INTERFACES (MATERIALS);

EID: 84872302859     PISSN: 15462218     EISSN: 15462226     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. Chen, T. (2008): Exact size-dependent connections between effective moduli of fibrous piezoelectric nanocomposites with interface effects. Acta Mechanica 196, 205-217. (Pubitemid 351431064)
2. Chen, T., Dvorak, G. J., Yu, C. C. (2007): Size-dependent elastic properties of unidirectional nano-composites with interface stresses. Acta Mechanica 188, 39-54. (Pubitemid 44838103)
3. Chen, T. Y., Dvorak, G. J. (2006): Fibrous nanocomposites with interface stress: Hill's and Levin's connections for effective moduli. Applied Physics Letters 88, 211912.
4. Chen, T. Y., Dvorak, G. J., Yu, C. C. (2007): Solids containing spherical nano-inclusions with interface stresses: Effective properties and thermal-mechanical connections. International Journal of Solids and Structures 44, 941-955. (Pubitemid 44749966)
5. Cherkaoui, M., Capolungo, L. (2009): Innovative Combinations of Atomistic and Continuum: Plastic Deformation of Nanocrystalline Materials. Atomistic and Continuum Modeling of Nanocrystalline Materials 112, 353-378.
6. Duan, H., Wang, J., Huang, Z., Karihaloo, B. (2005a): Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. Journal of the Mechanics and Physics of Solids 53, 1574-1596. (Pubitemid 40644971)
7. Duan, H., Wang, J., Huang, Z., Karihaloo, B. L. (2005b): Eshelby formalism for nano-inhomogeneities. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science 461, 3335-3353.
8. Duan, H. L., Wang, J., Karihaloo, B. L. (2008): Theory of Elasticity at the Nanoscale. Advances in Applied Mechanics 42, 1-68.
9. Dunn, M. L., Taya, M. (1993): An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 443, 265-287.
10. Dunn, M. L., Wienecke, H. (1997): Inclusions and inhomogeneities in transversely isotropic piezoelectric solids. International Journal of Solids and Structures 34, 3571-3582.
11. Gurtin, M., Weissmüller, J., Larche, F. (1998): A general theory of curved deformable interfaces in solids at equilibrium. Philosophical Magazine A 78, 1093-1109. (Pubitemid 128339561)
12. Hu, S., Shen, S. (2009): Electric Field Gradient Theory with Surface Effect for Nano-Dielectrics. CMC: Computers, Materials, & Continua 13, 63-88.
13. Hu, S., Shen, S. (2010): Variational principles and governing equations in nano-dielectrics with the flexoelectric effect. Science China-Physics Mechanics & Astronomy 53, 1497-1504.
14. Huang, G., Yu, S. (2006): Effect of surface piezoelectricity on the electromechanical behaviour of a piezoelectric ring. physica status solidi (b) 243, R22-R24. (Pubitemid 43446310)
15. Huang, Z., Sun, L. (2007): Size-dependent effective properties of a heterogeneous material with interface energy effect: from finite deformation theory to infinitesimal strain analysis. Acta Mechanica 190, 151-163. (Pubitemid 46639409)
16. Huang, Z., Wang, J. (2007): Micromechanics of Nanocomposites with Interface Energy Effect. IUTAM Symposium on Mechanical Behavior and Micro-Mechanics of Nanostructured Materials. Springer. Printed in the Netherlands.144, 51-59.
17. Le-Quang, H., Bonnet, G., He, Q. C. (2010): Size-dependent Eshelby tensor fields and effective conductivity of composites made of anisotropic phases with highly conducting imperfect interfaces. Physical Review B 81, 064203.
18. Lim, C. W., Li, Z. R., He, L. H. (2006): Size dependent, non-uniform elastic field inside a nano-scale spherical inclusion due to interface stress. International Journal of Solids and Structures 43, 5055-5065. (Pubitemid 44061809)
19. Sharma, P., Ganti, S. (2004): Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface energies. Journal of Applied Mechanics 71, 663-671. (Pubitemid 40122560)
20. Sharma, P., Ganti, S., Bhate, N. (2003): Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Applied Physics Letters 82, 535-537.
21. Shen, S., Hu, S. (2010): A theory of flexoelectricity with surface effect for elastic dielectrics. Journal of the Mechanics and Physics of Solids 58, 665-677.
22. Tian, L., Rajapakse, R. K. N. D. (2007): Elastic field of an isotropic matrix with a nanoscale elliptical inhomogeneity. International Journal of Solids and Structures 44, 7988-8005. (Pubitemid 47552448)
23. Xiao, J., Xu, Y., Zhang, F. (2011): Size-dependent effective electroelastic moduli of piezoelectric nanocomposites with interface effect. Acta Mechanica 222, 59-67.
24. Xu, Y., Shen, S. (2012): Surface Electric Gibbs Free Energy and Its Effect on the Electromechanical Behavior of Nano-Dielectrics. CMC: Computers, Materials, & Continua 28, 81-95.
25. Wang, B. (1992): Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material. International Journal of Solids and Structures 29, 293-308.
26. Yang, F. (2006): Effect of interfacial stresses on the elastic behavior of nanocom-posite materials. Journal of Applied Physics 99, 054306.