Size-dependent effective electroelastic moduli of piezoelectric nanocomposites with interface effect

Acta Mechanica

Volumn 222, Issue 1-2, 2011, Pages 59-67

  Xiao, J H ^a   Xu, Y L ^a   Zhang, F C ^a  

^a YANSHAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANTI-PLANE; CLASSICAL THEORY; CLOSED FORM SOLUTIONS; ELECTROELASTIC MODULI; EXACT SOLUTION; FAR-FIELD; IN-PLANE; INHOMOGENEITIES; INTERFACE EFFECT; MECHANICAL LOADS; NUMERICAL RESULTS; SELF-CONSISTENT APPROACH; SIZE DEPENDENT; SOLUTION APPROACH;

INTERFACES (MATERIALS);

NANOCOMPOSITES;

EID: 83055173014     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-011-0523-x     Document Type: Article

References (27)

1. Luo, J., Wang, X.: On the anti-plane shear of an elliptic nano inhomogeneity. Eur. J. Mech. A/Solids 28, 926-934 (2009)
2. Mogilevskaya, S.G., Crouch, S.L., Stolarski, H.K.: Multipleinteracting circularnano-inhomogeneities with surface/interface effects. J. Mech. Phys. Solids 56, 2298-2327 (2008)
3. Wong, E.W., Sheehan, P.E., Lieber, C.M.: Nanobeam mechanics: elasticity, strength, and toughness ofnanorods and nano-tubes. Science 277, 1971-1975 (1997)
4. Sharma, P., Ganti, S., Bhate, N.: Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Appl. Phys. Lett. 82, 535-537 (2003)
5. He, L.H., Li, Z.R.: Impact of surface stress on stress concentration. Int. J. Solids. Struct. 43, 6208-6219 (2006) (Pubitemid 46059240)
6. Xun, F., Hu, G.K., Huang, Z.P.: Effective in plane moduli ofcomposites with a micropolar matrix and coated fibers. Int. J. Solids. Struct. 41, 247-265 (2004) (Pubitemid 37491988)
7. Sharma, P., Ganti, S.: Size-dependent Eshelby's tensor for embedded nano-inclusions incorporating surface/interface ener-gies. J. Appl. Mech. 71, 663-671 (2004) (Pubitemid 40122560)
8. Yang, F.Q.: Size-dependent effective modulus of elastic composite materials: Spherical nanocavities at dilute concentra-tions. J. Appl. Phys. 95, 3516-3520 (2004)
9. Duan, H.L., Wang, J., Huang, Z.P., Karihaloo, B.L.: Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. J. Mech. Phys. Solids 53, 1574-1596 (2005) (Pubitemid 40644971)
10. Lim, C.W., Li, Z.R., He, L.H.: Size dependent, non-uniform elastic field inside a nano-scale spherical inclusion due to interface stress. Int. J. Solids. Struct. 43, 5055-5065 (2006) (Pubitemid 44061809)
11. Chen, T., Dvorak, G.J., Yu, C.C.: Size-dependent elastic properties of unidirectional nano-composites with interface stresses. Acta Mech. 188, 39-54 (2007) (Pubitemid 44838103)
12. Tian, L., Rajapakse, R.K.N.D.: Finite element modelling of nanoscale inhomogeneities in an elastic matrix. Comput. Mater. Sci. 41, 44-53 (2007) (Pubitemid 47576597)
13. Chen, T.: Exact size-dependent connections between effective moduli of fibrous piezoelectric nanocomposites with interface effects. Acta Mech. 196, 205-217 (2008) (Pubitemid 351431064)
14. Mogilevskaya, S.G., Crouch, S.L., Stolarski, H.K., Benusiglio, A.: Equivalent inhomogeneity method for evaluating the effective elastic properties of unidirectional multi-phase composites with surface/interface effects. Int. J. Solids. Struct. 47, 407-418 (2010)
15. Mogilevskaya, S.G., Crouch, S.L., Grotta, A.L., Stolarski, H.K.: The effects ofsurface elasticity and surface tension on the transverse overall elastic behavior of unidirectional nano-composites. Compos. Sci. Technol. 70, 427-434 (2010)
16. Gurtin,M.E.,Murdoch,A.I.: Acontinuumtheoryofelasticmaterialsurfaces.Arch. Ration. Mech. Anal.57,291-323 (1975)
17. Gurtin, M.E., Murdoch, A.I.: Surface stress in solids. Int. J. Solids. Struct. 14, 431-440 (1978)
18. Gurtin, M.E., Weissmuller, J., Larche, F.: A general theory of curved deformable interfaces in solids at equilibrium. Philos. Mag. A: Phys. Condens. Matter. Struct. Defects. Mech. Prop. 78, 1093-1109 (1998) (Pubitemid 128339561)
19. Tiersten, H.F.: Linear Piezoelectric Plate Vibrations. Plenum Press, New York (1969)
20. Chen, T., Chiu, M.S.,Weng, C.N.: Derivation of the generalized Young-Laplace equation of curvedinterfaces in nanoscaled solids. J. Appl. Phys. 100, 074308 (2006)
21. Miller, R.E., Shenoy, V.B.: Size-dependent elastic properties of nanosized structural elements. Nanotechnology 11, 139-147 (2000)
22. Muskhelishvili, N.I.: Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff, Groningen (1953)
23. Benveniste, Y., Miloh, T.: Imperfect soft and stiffinterfaces in two-dimensional elasticity. Mech. Mater. 33,309-323 (2001) (Pubitemid 32457488)
24. Jiang, C.P., Cheung, Y.K.: An exact solution for the three-phase piezoelectric cylinder model under antiplane shear and its applications to piezoelectric composites. Int. J. Solids. Struct. 38, 4777-4796 (2001) (Pubitemid 32497611)
25. Huang, G.Y., Yu, S.W.: Effect of surface piezoelectricity on the electromechanical behaviour of a piezoelectric ring. Phys. Stat. Sol. (B) 243, R22-R24 (2006)
26. Friesen, C., Dimitrov, N., Cammarata, R.C., Sieradzki, K.: Surface stress and electrocapillarity of solid electrodes. Lang-muir 17, 807-815 (2001) (Pubitemid 32873088)
27. Michalski, P.J., Sai, N., Mele, E.J.: Continuum theory for nanotube piezoelectricity. Phys. Rev. Lett. 95, 116803 (2005)