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Volumn 459, Issue 2031, 2003, Pages 527-538

Maxwell's multipole representation of traceless symmetric tensors and its application to functions of high-order tensors

Author keywords

High order tensors; Maxwell's multipole representation; Multipoles; Representations for tensor functions; Sylvester's theorem

Indexed keywords

ARTICLE; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MATHEMATICS;

EID: 1542357345     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2002.1053     Document Type: Article
Times cited : (18)

References (17)
  • 1
    • 84995007716 scopus 로고
    • A geometrical picture of anisotropic elastic tensors
    • Backus, G. 1970 A geometrical picture of anisotropic elastic tensors. Rev. Geophys. Space Phys. 8, 633-671.
    • (1970) Rev. Geophys. Space Phys. , vol.8 , pp. 633-671
    • Backus, G.1
  • 2
    • 0027650008 scopus 로고
    • Harmonic decomposition of the anisotropic elasticity tensor
    • Baerheim, R. 1993 Harmonic decomposition of the anisotropic elasticity tensor. Q. J. Mech. Appl. Math. 46, 391-418.
    • (1993) Q. J. Mech. Appl. Math. , vol.46 , pp. 391-418
    • Baerheim, R.1
  • 3
    • 0032001355 scopus 로고    scopus 로고
    • Classification of symmetry by means of Maxwell multipoles
    • Baerheim, R. 1998 Classification of symmetry by means of Maxwell multipoles. Q. J. Mech. Appl. Math. 51, 73-103.
    • (1998) Q. J. Mech. Appl. Math. , vol.51 , pp. 73-103
    • Baerheim, R.1
  • 4
    • 0028371062 scopus 로고
    • On the polynomial invariants of the elasticity tensor
    • Boehler, J. P., Kirillov Jr, A. A. & Onat, E. T. 1994 On the polynomial invariants of the elasticity tensor. J. Elastic. 34, 97-110.
    • (1994) J. Elastic. , vol.34 , pp. 97-110
    • Boehler, J.P.1    Kirillov Jr., A.A.2    Onat, E.T.3
  • 9
    • 0022224351 scopus 로고
    • Representation of mechanical behavior in the presence of internal damage
    • Onat, E. T. 1986 Representation of mechanical behavior in the presence of internal damage. Engng Fract. Mech. 25, 605-614.
    • (1986) Engng Fract. Mech. , vol.25 , pp. 605-614
    • Onat, E.T.1
  • 10
    • 0031353685 scopus 로고    scopus 로고
    • Isotropic invariants of traceless symmetric tensors of orders three and four
    • Smith, G. F. & Bao, G. 1997 Isotropic invariants of traceless symmetric tensors of orders three and four. Int. J. Engng Sci. 35, 1457-1462.
    • (1997) Int. J. Engng Sci. , vol.35 , pp. 1457-1462
    • Smith, G.F.1    Bao, G.2
  • 11
    • 0039847212 scopus 로고
    • A note on the decomposition of tensors into traceless symmetric tensors
    • Spencer, A. J. M. 1970 A note on the decomposition of tensors into traceless symmetric tensors. Int. J. Engng Sci. 8, 475-481.
    • (1970) Int. J. Engng Sci. , vol.8 , pp. 475-481
    • Spencer, A.J.M.1
  • 12
    • 1542300610 scopus 로고
    • Note on spherical harmonics
    • Sylvester, J. J. 1876 Note on spherical harmonics. Phil. Mag. 2, 291-307 and 400. (Also in Collected Mathematical Papers (1909), vol. 3, pp. 37-51. Cambridge University Press.)
    • (1876) Phil. Mag. , vol.2 , pp. 291-307
    • Sylvester, J.J.1
  • 13
    • 34548223207 scopus 로고
    • Cambridge University Press
    • Sylvester, J. J. 1876 Note on spherical harmonics. Phil. Mag. 2, 291-307 and 400. (Also in Collected Mathematical Papers (1909), vol. 3, pp. 37-51. Cambridge University Press.)
    • (1909) Collected Mathematical Papers , vol.3 , pp. 37-51
  • 14
    • 85025220892 scopus 로고
    • Theory of representations for tensor functions - A unified invariant approach to constitutive equations
    • Zheng, Q.-S. 1994 Theory of representations for tensor functions - a unified invariant approach to constitutive equations. Appl. Mech. Rev. 47, 545-587.
    • (1994) Appl. Mech. Rev. , vol.47 , pp. 545-587
    • Zheng, Q.-S.1
  • 15
    • 0002110018 scopus 로고    scopus 로고
    • The relationship between damage variables and their evolution laws and microstructural and physical properties
    • Zheng, Q.-S. & Collins, I. F. 1998 The relationship between damage variables and their evolution laws and microstructural and physical properties. Proc. R. Soc. Lond. A 454, 1469-1498.
    • (1998) Proc. R. Soc. Lond. A , vol.454 , pp. 1469-1498
    • Zheng, Q.-S.1    Collins, I.F.2
  • 16
    • 0034144033 scopus 로고    scopus 로고
    • Irreducible decompositions of physical tensors of high orders
    • Zheng, Q.-S. & Zou, W.-N. 2000 Irreducible decompositions of physical tensors of high orders. J. Engng Math. 37, 273-288.
    • (2000) J. Engng Math. , vol.37 , pp. 273-288
    • Zheng, Q.-S.1    Zou, W.-N.2
  • 17
    • 0035365676 scopus 로고    scopus 로고
    • Orthogonal irreducible decompositions of tensors of high orders
    • Zou, W.-N., Zheng, Q.-S., Du, D.-X. & Rychlewski, J. 2001 Orthogonal irreducible decompositions of tensors of high orders. Math. Mech. Solids 6, 249-267.
    • (2001) Math. Mech. Solids , vol.6 , pp. 249-267
    • Zou, W.-N.1    Zheng, Q.-S.2    Du, D.-X.3    Rychlewski, J.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.