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Volumn 73, Issue 8, 2004, Pages 533-552

Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials

Author keywords

Electrostriction; Invariant theory; Nonlinear coupling; Piezoelectricity; Transverse isotropy

Indexed keywords

ANISOTROPY; ELECTROSTRICTION; ENTHALPY; FINITE ELEMENT METHOD; KINEMATICS; LINEARIZATION; MATHEMATICAL MODELS; PIEZOELECTRICITY; STRAIN;

EID: 1942537808     PISSN: 09391533     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00419-003-0294-5     Document Type: Article
Times cited : (75)

References (24)
  • 1
    • 0014767052 scopus 로고
    • Finite element method for piezoelectric vibrations
    • Allik, H.; Hughes, T.J.R.: Finite element method for piezoelectric vibrations. Int J Numer Methods Eng 2 (1970) 151-157
    • (1970) Int J Numer Methods Eng , vol.2 , pp. 151-157
    • Allik, H.1    Hughes, T.J.R.2
  • 2
    • 0001898250 scopus 로고
    • Introduction to the invariant formulation of anisotropic constitutive equations
    • Boehler, J.P. (ed.). Wien, New York, Springer
    • Boehler, J.P.: Introduction to the invariant formulation of anisotropic constitutive equations. In: Boehler, J.P. (ed.) Applications of tensor functions in solid mechanics, pp. 13-30. Wien, New York, Springer 1987
    • (1987) Applications of Tensor Functions in Solid Mechanics , pp. 13-30
    • Boehler, J.P.1
  • 3
    • 0002956991 scopus 로고
    • Representations for isotropic and anisotropic non-polynominal tensor functions
    • Boehler, J.P. (ed.). Wien, New York, Springer
    • Boehler, J.P.: Representations for isotropic and anisotropic non-polynominal tensor functions. In: Boehler, J.P. (ed.) Applications of tensor functions in solid mechanics, pp. 31-53. Wien, New York, Springer 1987
    • (1987) Applications of Tensor Functions in Solid Mechanics , pp. 31-53
    • Boehler, J.P.1
  • 6
    • 0028545824 scopus 로고
    • A fully coupled constitutive model for electrostrictive ceramic maiterials
    • Horn, C.L.; Shankar, N.: A fully coupled constitutive model for electrostrictive ceramic maiterials. J Intelligent Mat Syst Struct 5 (1994) 795-801
    • (1994) J Intelligent Mat Syst Struct , vol.5 , pp. 795-801
    • Horn, C.L.1    Shankar, N.2
  • 7
    • 0030150516 scopus 로고    scopus 로고
    • A finite element method for electrostrictive ceramic devices
    • Horn, C.L.; Shankar, N.: A finite element method for electrostrictive ceramic devices. Int J Solids Struct 33 (1996) 1757-1779
    • (1996) Int J Solids Struct , vol.33 , pp. 1757-1779
    • Horn, C.L.1    Shankar, N.2
  • 9
    • 0020243053 scopus 로고
    • On representations of anisotropic invariants
    • Liu, I.-S.: On representations of anisotropic invariants. Int J Eng Sci 20 (1982) 1099-1109
    • (1982) Int J Eng Sci , vol.20 , pp. 1099-1109
    • Liu, I.-S.1
  • 13
    • 0041362021 scopus 로고
    • Foundations of linear piezoelectricity
    • Parkus, H. (ed.). Wien, New York, Springer
    • Nowacki, W.: Foundations of linear piezoelectricity. In: Parkus, H. (ed.) Electromagnetic interactions in elastic solids, pp. 105-157. Wien, New York, Springer 1979
    • (1979) Electromagnetic Interactions in Elastic Solids , pp. 105-157
    • Nowacki, W.1
  • 14
    • 0000302623 scopus 로고
    • On a fundamental error in two papers of C. C. Wang
    • Smith, G.F.: On a fundamental error in two papers of C. C. Wang. Arch Rational Mech Anal 36 (1970) 161-165
    • (1970) Arch Rational Mech Anal , vol.36 , pp. 161-165
    • Smith, G.F.1
  • 15
    • 0001438758 scopus 로고
    • On isotropic functions of symmetric tensors, Skew-symmetric tensors and vectors
    • Smith, G.F.: On isotropic functions of symmetric tensors, Skew-symmetric tensors and vectors. Int J Eng Sci 19 (1971) 899-916
    • (1971) Int J Eng Sci , vol.19 , pp. 899-916
    • Smith, G.F.1
  • 16
    • 0001416793 scopus 로고
    • Theory of Invariants
    • Bringen A.C. (ed.). New York, Academic Press
    • Spencer, A.J.M.: Theory of Invariants. In: Bringen A.C. (ed.) Continuum Physics 1: pp. 239-353. New York, Academic Press 1971
    • (1971) Continuum Physics , vol.1 , pp. 239-353
    • Spencer, A.J.M.1
  • 17
    • 0001010379 scopus 로고
    • Isotropic polynomial invariants and tensor functions
    • Boehler, J.P. (ed.). Wien, New York, Springer
    • Spencer, A.J.M.: Isotropic polynomial invariants and tensor functions. In: Boehler, J.P. (ed.) Applications of tensor functions in solid mechanics, pp. 141-169. Wien, New York, Springer 1987
    • (1987) Applications of Tensor Functions in Solid Mechanics , pp. 141-169
    • Spencer, A.J.M.1
  • 18
    • 33750430348 scopus 로고
    • On representations for isotropic functions I. Isotropic functions of symmetric tensors and vectors
    • Wang, C.C.: On representations for isotropic functions I. Isotropic functions of symmetric tensors and vectors. Arch Rational Mech Anal 33 (1969) 249-267
    • (1969) Arch Rational Mech Anal , vol.33 , pp. 249-267
    • Wang, C.C.1
  • 19
    • 0012820636 scopus 로고
    • On representations for isotropic functions II. Isotropic functions of skew-symmetric tensors, symmetric tensors and vectors
    • Wang, C.C.: On representations for isotropic functions II. Isotropic functions of skew-symmetric tensors, symmetric tensors and vectors. Arch Rational Mech Anal 33 (1969) 268-287
    • (1969) Arch Rational Mech Anal , vol.33 , pp. 268-287
    • Wang, C.C.1
  • 20
    • 0040648250 scopus 로고
    • Corrigendum to my recent papers on: Representations for isotropic functions
    • Wang, C.C.: Corrigendum to my recent papers on: Representations for isotropic functions. Arch Rational Mech Anal 43 (1971) 392-395
    • (1971) Arch Rational Mech Anal , vol.43 , pp. 392-395
    • Wang, C.C.1
  • 21
    • 0024874469 scopus 로고
    • Designed cofired multilayered electrostrictive actuators for reliability
    • Winzer, S.R; Shankar, N.; Ritter, A.P.: Designed cofired multilayered electrostrictive actuators for reliability. J Am Ceram Soc 72 (1989) 2246-2257
    • (1989) J Am Ceram Soc , vol.72 , pp. 2246-2257
    • Winzer, S.R.1    Shankar, N.2    Ritter, A.P.3
  • 24
    • 0002493697 scopus 로고
    • The description, classification and reality of material and physical symmetries
    • Zheng, Q.S.; Boehler J.P.: The description, classification and reality of material and physical symmetries. Acta Mech 102 (1994) 73-89
    • (1994) Acta Mech , vol.102 , pp. 73-89
    • Zheng, Q.S.1    Boehler, J.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.