메뉴 건너뛰기




Volumn 46, Issue 8, 2008, Pages 818-834

Analysis of effective properties of electroelastic composites using the self-consistent and asymptotic homogenization methods

Author keywords

A. Microstructures; B. Fibre reinforced composite material; B. Inhomogeneous material; B. Piezoelectric material; C. Analytic functions; C. Asymptotic analysis

Indexed keywords

ASYMPTOTIC ANALYSIS; ELECTROSTATICS; HOMOGENIZATION METHOD; PIEZOELECTRIC MATERIALS; STRAIN CONTROL;

EID: 46549088847     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2008.01.017     Document Type: Article
Times cited : (34)

References (36)
  • 1
    • 0020848096 scopus 로고
    • Recent developments of piezoelectric ceramic products and composites of synthetic rubber and piezoelectric ceramic particles
    • Banno H. Recent developments of piezoelectric ceramic products and composites of synthetic rubber and piezoelectric ceramic particles. Ferroelectrics 50 (1983) 3-12
    • (1983) Ferroelectrics , vol.50 , pp. 3-12
    • Banno, H.1
  • 2
    • 0035311599 scopus 로고    scopus 로고
    • Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents-II. Piezoelectric and square symmetry
    • Bravo-Castillero J., Guinovart-Díaz R., Sabina F.J., and Rodríguez-Ramos R. Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents-II. Piezoelectric and square symmetry. Mech. Mater. 33 (2001) 237-248
    • (2001) Mech. Mater. , vol.33 , pp. 237-248
    • Bravo-Castillero, J.1    Guinovart-Díaz, R.2    Sabina, F.J.3    Rodríguez-Ramos, R.4
  • 3
    • 8344236638 scopus 로고
    • On the elastic moduli of some heterogeneous materials
    • Budiansky B. On the elastic moduli of some heterogeneous materials. J. Mech. Phys. Solids 13 (1965) 213-222
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 213-222
    • Budiansky, B.1
  • 4
    • 0024704565 scopus 로고
    • Simple model for piezoelectric ceramic/polymer 1-3 composites used in ultrasonic transducer applications
    • Chan H.L.W., and Unsworth J. Simple model for piezoelectric ceramic/polymer 1-3 composites used in ultrasonic transducer applications. IEEE Trans. Ultrason. Ferroelect. Freq. Control 36 (1989) 434-441
    • (1989) IEEE Trans. Ultrason. Ferroelect. Freq. Control , vol.36 , pp. 434-441
    • Chan, H.L.W.1    Unsworth, J.2
  • 5
    • 0028544623 scopus 로고
    • Micromechanical estimates of the overall thermoelectroelastic moduli of multiphase fibrous composites
    • Chen T. Micromechanical estimates of the overall thermoelectroelastic moduli of multiphase fibrous composites. Int. J. Solids Struct. 31 (1994) 3099-3111
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 3099-3111
    • Chen, T.1
  • 6
    • 0011835263 scopus 로고
    • Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites
    • Dunn M.L., and Taya M. Micromechanics predictions of the effective electroelastic moduli of piezoelectric composites. Int. J. Solids Struct. 30 (1993) 161-175
    • (1993) Int. J. Solids Struct. , vol.30 , pp. 161-175
    • Dunn, M.L.1    Taya, M.2
  • 7
    • 0001652353 scopus 로고
    • An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities
    • Dunn M.L., and Taya M. An analysis of piezoelectric composite materials containing ellipsoidal inhomogeneities. Proc. R. Soc. London A 443 (1993) 265-287
    • (1993) Proc. R. Soc. London A , vol.443 , pp. 265-287
    • Dunn, M.L.1    Taya, M.2
  • 8
    • 0028282287 scopus 로고
    • Electroelastic Green's functions for transversely isotropic media and their application to the solution of inclusion and inhomogeneity problems
    • Dunn M.L. Electroelastic Green's functions for transversely isotropic media and their application to the solution of inclusion and inhomogeneity problems. Int. J. Eng. Sci. 32 (1994) 119-131
    • (1994) Int. J. Eng. Sci. , vol.32 , pp. 119-131
    • Dunn, M.L.1
  • 9
    • 0000015274 scopus 로고
    • The effective characteristics of piezoactive composites with cylindrical inclusions
    • Getman I.P., and Molkov V.A. The effective characteristics of piezoactive composites with cylindrical inclusions. J. Appl. Math. Mech. 56 (1992) 415-423
    • (1992) J. Appl. Math. Mech. , vol.56 , pp. 415-423
    • Getman, I.P.1    Molkov, V.A.2
  • 10
    • 0024703939 scopus 로고
    • Effective properties of a transversely isotropic piezoelectric composite with cylindrical inclusions
    • Grekov A.A., Kramarov S.O., and Kupienko A.A. Effective properties of a transversely isotropic piezoelectric composite with cylindrical inclusions. Mech. Comput. Mater. 25 (1989) 54-60
    • (1989) Mech. Comput. Mater. , vol.25 , pp. 54-60
    • Grekov, A.A.1    Kramarov, S.O.2    Kupienko, A.A.3
  • 11
    • 0035400515 scopus 로고    scopus 로고
    • Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents-I. Elastic and hexagonal symmetry
    • Guinovart-Díaz R., Bravo-Castillero J., Rodríguez-Ramos R., and Sabina F.J. Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents-I. Elastic and hexagonal symmetry. J. Mech. Phys. Solids 49 (2001) 1445-1462
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1445-1462
    • Guinovart-Díaz, R.1    Bravo-Castillero, J.2    Rodríguez-Ramos, R.3    Sabina, F.J.4
  • 13
    • 11644304284 scopus 로고
    • A self-consistent mechanics of composite materials
    • Hill R. A self-consistent mechanics of composite materials. J. Mech. Phys. Solids 13 (1965) 89-101
    • (1965) J. Mech. Phys. Solids , vol.13 , pp. 89-101
    • Hill, R.1
  • 15
    • 0002222342 scopus 로고
    • The effective field method in mechanics of matrix composite materials
    • World Publ. Comp., Singapore pp. 1-58
    • Kanaun S.K., and Levin V.M. The effective field method in mechanics of matrix composite materials. Advances in Mathematical Modeling of Composite Materials (1994), World Publ. Comp., Singapore pp. 1-58
    • (1994) Advances in Mathematical Modeling of Composite Materials
    • Kanaun, S.K.1    Levin, V.M.2
  • 16
    • 25144496963 scopus 로고    scopus 로고
    • Electromechanical response of 1-3 piezoelectric composite: effect of poling characteristics
    • 054102
    • Kar-Gupta R., and Venkatesh T.A. Electromechanical response of 1-3 piezoelectric composite: effect of poling characteristics. J. Appl. Phys. 98 (2005) 1-13 054102
    • (2005) J. Appl. Phys. , vol.98 , pp. 1-13
    • Kar-Gupta, R.1    Venkatesh, T.A.2
  • 17
    • 46549083084 scopus 로고    scopus 로고
    • A. Kelly, R. Davidson, K. Uchino, Smart composite materials systems, in: A. Kelly, C. Zweben (Eds.), Comprehensive Composite Materials, vol. 5, 1980, pp. 469-474.
    • A. Kelly, R. Davidson, K. Uchino, Smart composite materials systems, in: A. Kelly, C. Zweben (Eds.), Comprehensive Composite Materials, vol. 5, 1980, pp. 469-474.
  • 21
    • 0001232448 scopus 로고    scopus 로고
    • The overall properties of piezoactive matrix composite materials
    • Singapore, World Scientific Publ. Comp. pp. 225-232
    • Levin V.M. The overall properties of piezoactive matrix composite materials. Continuum Models and Discrete Systems, Proceedings of CMDS8. Singapore (1996), World Scientific Publ. Comp. pp. 225-232
    • (1996) Continuum Models and Discrete Systems, Proceedings of CMDS8
    • Levin, V.M.1
  • 22
    • 0030305569 scopus 로고    scopus 로고
    • The effective properties of piezoactive matrix composite materials
    • Levin V.M. The effective properties of piezoactive matrix composite materials. J. Appl. Math. Mech. 60 (1996) 309-317
    • (1996) J. Appl. Math. Mech. , vol.60 , pp. 309-317
    • Levin, V.M.1
  • 23
    • 0033147411 scopus 로고    scopus 로고
    • The effective thermoelectroelastic properties of microinhomogeneous materials
    • Levin V.M., Rakovskaja M.I., and Kreher W.S. The effective thermoelectroelastic properties of microinhomogeneous materials. Int. J. Solids Struct. 36 (1999) 2683-2705
    • (1999) Int. J. Solids Struct. , vol.36 , pp. 2683-2705
    • Levin, V.M.1    Rakovskaja, M.I.2    Kreher, W.S.3
  • 24
    • 0032282492 scopus 로고    scopus 로고
    • Micromechanics of magnetoelectroelastic composite materials: average fields and effective behavior
    • Li J.Y., and Dunn M.L. Micromechanics of magnetoelectroelastic composite materials: average fields and effective behavior. J. Intell. Mater. Syst. Struct. 9 (1998) 404-416
    • (1998) J. Intell. Mater. Syst. Struct. , vol.9 , pp. 404-416
    • Li, J.Y.1    Dunn, M.L.2
  • 25
    • 0035297861 scopus 로고    scopus 로고
    • Variational bounds for the effective moduli of heterogeneous piezoelectric solids
    • Li J.Y., and Dunn M.L. Variational bounds for the effective moduli of heterogeneous piezoelectric solids. Philos. Mag. A 81 (2001) 903-926
    • (2001) Philos. Mag. A , vol.81 , pp. 903-926
    • Li, J.Y.1    Dunn, M.L.2
  • 26
    • 0035499783 scopus 로고    scopus 로고
    • Justification of an effective field method in elasto-statics of heterogeneous solids
    • Markov K.Z. Justification of an effective field method in elasto-statics of heterogeneous solids. J. Mech. Phys. Solids 49 (2001) 2621-2634
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 2621-2634
    • Markov, K.Z.1
  • 27
    • 0000883169 scopus 로고
    • Linear response of two-phase composites with cross moduli: exact universal relations
    • Milgrom M., and Shtrikman S. Linear response of two-phase composites with cross moduli: exact universal relations. Phys. Rev. A 40 (1989) 1568-1575
    • (1989) Phys. Rev. A , vol.40 , pp. 1568-1575
    • Milgrom, M.1    Shtrikman, S.2
  • 28
    • 0015625688 scopus 로고
    • Average stress in matrix and average elastic energy of materials with misfitting inclusions
    • Mori T., and Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21 (1973) 571-674
    • (1973) Acta Metall. , vol.21 , pp. 571-674
    • Mori, T.1    Tanaka, K.2
  • 29
    • 0017969016 scopus 로고
    • Connectivity and piezoelectric-pyroelectric composites
    • Newnham R.E., Skinner D.P., and Cross L.E. Connectivity and piezoelectric-pyroelectric composites. Mater. Res. Bull. 13 (1978) 525-536
    • (1978) Mater. Res. Bull. , vol.13 , pp. 525-536
    • Newnham, R.E.1    Skinner, D.P.2    Cross, L.E.3
  • 30
    • 17044454326 scopus 로고    scopus 로고
    • Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents-I. Elastic and square symmetry
    • Rodríguez-Ramos R., Sabina F.J., Guinovart-Díaz R., and Bravo Castillero J. Closed-form expressions for the effective coefficients of fibre-reinforced composite with transversely isotropic constituents-I. Elastic and square symmetry. Mech. Mater. 33 (2001) 223-235
    • (2001) Mech. Mater. , vol.33 , pp. 223-235
    • Rodríguez-Ramos, R.1    Sabina, F.J.2    Guinovart-Díaz, R.3    Bravo Castillero, J.4
  • 31
    • 17444453860 scopus 로고    scopus 로고
    • Closed-form expressions for the effective coefficients of a fibre-reinforced composite with transversely isotropic constituents-II. Piezoelectric and hexagonal symmetry
    • Sabina F.J., Rodríguez-Ramos R., Bravo-Castillero J., and Guinovart-Díaz R. Closed-form expressions for the effective coefficients of a fibre-reinforced composite with transversely isotropic constituents-II. Piezoelectric and hexagonal symmetry. J. Mech. Phys. Solids 49 (2001) 1463-1479
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 1463-1479
    • Sabina, F.J.1    Rodríguez-Ramos, R.2    Bravo-Castillero, J.3    Guinovart-Díaz, R.4
  • 32
    • 46549086526 scopus 로고    scopus 로고
    • A. Safari, B. Jadidian, E.K. Akdogan, Piezoelectric composites for transducer applications, in: A. Kelly, G. Zweben (Eds.), Comprehensive Composite Materials, vol. 5, 2000, pp. 533-561.
    • A. Safari, B. Jadidian, E.K. Akdogan, Piezoelectric composites for transducer applications, in: A. Kelly, G. Zweben (Eds.), Comprehensive Composite Materials, vol. 5, 2000, pp. 533-561.
  • 33
    • 0000201037 scopus 로고
    • Relationship between the effective properties of transversely isotropic piezoelectric composites
    • Schulgasser K. Relationship between the effective properties of transversely isotropic piezoelectric composites. J. Mech. Phys. Solids 40 (1992) 473-479
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 473-479
    • Schulgasser, K.1
  • 34
    • 46549087278 scopus 로고    scopus 로고
    • J.F. Tressler, K. Uchino, Piezoelectric composite sensors, in: A. Kelly, C. Zweben (Eds.), Comprehensive Composite Materials, vol. 5, 2000, pp. 493-505.
    • J.F. Tressler, K. Uchino, Piezoelectric composite sensors, in: A. Kelly, C. Zweben (Eds.), Comprehensive Composite Materials, vol. 5, 2000, pp. 493-505.
  • 35
    • 46549086319 scopus 로고
    • Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material
    • Wang B. Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material. Int. J. Solids Struct. 28 (1992) 1111-1120
    • (1992) Int. J. Solids Struct. , vol.28 , pp. 1111-1120
    • Wang, B.1
  • 36
    • 0026678910 scopus 로고
    • Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material
    • Wang B. Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material. Int. J. Solids Struct. 29 (1992) 293-308
    • (1992) Int. J. Solids Struct. , vol.29 , pp. 293-308
    • Wang, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.