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Volumn 119, Issue 4, 2006, Pages 2114-2121

Elastic moduli approximation of higher symmetry for the acoustical properties of an anisotropic material

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ANISOTROPY; APPROXIMATION THEORY; MATHEMATICAL MODELS; STIFFNESS; TENSORS;

EID: 33645347740     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2173525     Document Type: Article
Times cited : (34)

References (19)
  • 1
    • 0004003498 scopus 로고    scopus 로고
    • Acoustical Society of America, New York
    • M. J. P. Musgrave, Crystal Acoustics (Acoustical Society of America, New York, 2003).
    • (2003) Crystal Acoustics
    • Musgrave, M.J.P.1
  • 2
    • 0032208020 scopus 로고    scopus 로고
    • Determination of the symmetries of an experimentally determined stiffness tensor, application to acoustic measurements
    • M. Francois, G. Geymonat, and Y. Berthaud, "Determination of the symmetries of an experimentally determined stiffness tensor, application to acoustic measurements," Int. J. Solids Struct. 35(31-32), 4091-4106 (1998).
    • (1998) Int. J. Solids Struct. , vol.35 , Issue.31-32 , pp. 4091-4106
    • Francois, M.1    Geymonat, G.2    Berthaud, Y.3
  • 3
    • 8744308236 scopus 로고    scopus 로고
    • Decomposition of the elastic tensor and geophysical applications
    • J. T. Browaeys and S. Chevrot, "Decomposition of the elastic tensor and geophysical applications," Geophys. J. Int. 159, 667-678 (2004).
    • (2004) Geophys. J. Int. , vol.159 , pp. 667-678
    • Browaeys, J.T.1    Chevrot, S.2
  • 4
    • 33645362343 scopus 로고
    • The elastic tensor of given symmetry nearest to an anisotropic elastic tensor
    • D. C. Gazis, I. Tadjbakhsh, and R. A. Toupin, "The elastic tensor of given symmetry nearest to an anisotropic elastic tensor," Acta Crystallogr. 16, 917-922 (1963).
    • (1963) Acta Crystallogr. , vol.16 , pp. 917-922
    • Gazis, D.C.1    Tadjbakhsh, I.2    Toupin, R.A.3
  • 5
    • 0007715468 scopus 로고
    • Representation and approximation of elastic tensors
    • Trondheim, Expanded Abstracts
    • K. Helbig, "Representation and approximation of elastic tensors," in Sixth International Workshop on Seismic Anisotropy (Trondheim, 1994), Expanded Abstracts, pp. 37-75 (1995).
    • (1994) Sixth International Workshop on Seismic Anisotropy , pp. 37-75
    • Helbig, K.1
  • 6
    • 33645355253 scopus 로고    scopus 로고
    • The best isotropic approximation of an anisotropic Hooke's law
    • F. Cavallini, "The best isotropic approximation of an anisotropic Hooke's law," Bollettino di Geofisica Teorica e Applicata 40, 1-18 (1999).
    • (1999) Bollettino di Geofisica Teorica e Applicata , vol.40 , pp. 1-18
    • Cavallini, F.1
  • 7
    • 33645334038 scopus 로고    scopus 로고
    • Fourth-order elastic-moduli tensors by inspection
    • Anisotropy 2000: Fractures, converted waves and case studies. edited by L. Ikelle and A. F. Gangi, Tulsa, OK, 2000. Society of Exploration Geophysicists, Tulsa, OK
    • A. F. Gangi, "Fourth-order elastic-moduli tensors by inspection," in Anisotropy 2000: Fractures, converted waves and case studies. Proc. 9th International Workshop on Seismic Anisotropy (9IWSA), edited by L. Ikelle and A. F. Gangi, Tulsa, OK, 2000. (Society of Exploration Geophysicists, Tulsa, OK, 2000).
    • (2000) Proc. 9th International Workshop on Seismic Anisotropy (9IWSA)
    • Gangi, A.F.1
  • 8
    • 33645812768 scopus 로고    scopus 로고
    • On the averaging of symmetric positive-definite tensors
    • in press
    • M. Moakher, "On the averaging of symmetric positive-definite tensors," J. Elast. (in press).
    • J. Elast.
    • Moakher, M.1
  • 11
    • 84995007716 scopus 로고
    • A geometrical picture of anisotropic elastic tensors
    • G. Backus, "A geometrical picture of anisotropic elastic tensors," Rev. Geophys. Space Phys. 8, 633-671 (1970).
    • (1970) Rev. Geophys. Space Phys. , vol.8 , pp. 633-671
    • Backus, G.1
  • 12
    • 0039847212 scopus 로고
    • A note on the decomposition of tensors into traceless symmetric tensors
    • A. J. M. Spencer, "A note on the decomposition of tensors into traceless symmetric tensors," Int. J. Eng. Sci. 8(6), 475-481 (1970).
    • (1970) Int. J. Eng. Sci. , vol.8 , Issue.6 , pp. 475-481
    • Spencer, A.J.M.1
  • 13
    • 0027650008 scopus 로고
    • Harmonic decomposition of the anisotropic elasticity tensor
    • R. Baerheim, "Harmonic decomposition of the anisotropic elasticity tensor," Q. J. Mech. Appl. Math. 46, 391-418 (1993).
    • (1993) Q. J. Mech. Appl. Math. , vol.46 , pp. 391-418
    • Baerheim, R.1
  • 14
    • 0030141773 scopus 로고    scopus 로고
    • Symmetry classes for elasticity tensors
    • S. Forte and M. Vianello, "Symmetry classes for elasticity tensors," J. Elast. 43, 81-108 (1996).
    • (1996) J. Elast. , vol.43 , pp. 81-108
    • Forte, S.1    Vianello, M.2
  • 15
    • 0024718771 scopus 로고
    • On the acoustic determination of the elastic moduli of anisotropic solidsand acoustic conditions for the existence of planes of symmetry
    • A. N. Norris, "On the acoustic determination of the elastic moduli of anisotropic solidsand acoustic conditions for the existence of planes of symmetry," Q. J. Mech. Appl. Math. 42, 413-426 (1989).
    • (1989) Q. J. Mech. Appl. Math. , vol.42 , pp. 413-426
    • Norris, A.N.1
  • 16
    • 0000944343 scopus 로고
    • Fourth rank tensors of the thirty-two crystal classes: Multiplication tables
    • L. J. Walpole, "Fourth rank tensors of the thirty-two crystal classes: Multiplication tables," Proc. R. Soc. London, Ser. A 391, 149-179 (1984).
    • (1984) Proc. R. Soc. London, Ser. A , vol.391 , pp. 149-179
    • Walpole, L.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.