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Volumn 46, Issue 2, 1997, Pages 115-149

On Isotropic Invariants of the Elasticity Tensor

Author keywords

Elasticity tensor; Functional basis; Isotropic invariants

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; INVARIANCE; TENSORS;

EID: 0031069441     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007332319121     Document Type: Article
Times cited : (7)

References (31)
  • 1
    • 0028371062 scopus 로고
    • On the polynomial invariants of the elasticity tensor
    • J.P. Boehler, A.A. Kirillov and E.T. Onat, On the polynomial invariants of the elasticity tensor. J. Elasticity 34 (1994) 97-110.
    • (1994) J. Elasticity , vol.34 , pp. 97-110
    • Boehler, J.P.1    Kirillov, A.A.2    Onat, E.T.3
  • 2
    • 0040022578 scopus 로고
    • Material symmetry restrictions on non-polynomial constitutive equations
    • A.C. Pipkin and A.S. Wineman, Material symmetry restrictions on non-polynomial constitutive equations. Arch. Rat. Mech. Anal. 12 (1963) 420-426.
    • (1963) Arch. Rat. Mech. Anal. , vol.12 , pp. 420-426
    • Pipkin, A.C.1    Wineman, A.S.2
  • 3
    • 0009287225 scopus 로고
    • Material symmetry restrictions on constitutive equations
    • A.S. Wineman and A.C. Pipkin, Material symmetry restrictions on constitutive equations. Arch. Rat. Mech. Anal. 17 (1964) 184-214.
    • (1964) Arch. Rat. Mech. Anal. , vol.17 , pp. 184-214
    • Wineman, A.S.1    Pipkin, A.C.2
  • 4
    • 2342450145 scopus 로고
    • Tables of the generating functions and groundforms for the binary quantics of the first ten orders
    • Cambridge Univ. Press
    • J.J. Sylvester, Tables of the generating functions and groundforms for the binary quantics of the first ten orders, Collected Mathematical Papers of J.J. Sylvester, Vol. III, Cambridge Univ. Press (1909) 283-311; Sur les covariants irréductibles du quantic binaire de hutième order, ibid., 481-488.
    • (1909) Collected Mathematical Papers of J.J. Sylvester , vol.3 , pp. 283-311
    • Sylvester, J.J.1
  • 5
    • 2342507287 scopus 로고    scopus 로고
    • Sur les covariants irréductibles du quantic binaire de hutième order
    • J.J. Sylvester, Tables of the generating functions and groundforms for the binary quantics of the first ten orders, Collected Mathematical Papers of J.J. Sylvester, Vol. III, Cambridge Univ. Press (1909) 283-311; Sur les covariants irréductibles du quantic binaire de hutième order, ibid., 481-488.
    • Collected Mathematical Papers of J.J. Sylvester , pp. 481-488
  • 6
    • 2342487517 scopus 로고
    • Das vollständige Formsystem einer binären Form achter Ordnung
    • von Gall, Das vollständige Formsystem einer binären Form achter Ordnung, Mathematische Annalen 17 (1880) 31-51, 139-152, 456.
    • (1880) Mathematische Annalen , vol.17 , pp. 31-51
    • Von Gall1
  • 7
    • 2342509202 scopus 로고
    • On the graded ring of the invariants of binary octavic
    • Shioda Tetsuji, on the graded ring of the invariants of binary octavic. Am. J. Math. 89 (1967) 1022-1046.
    • (1967) Am. J. Math. , vol.89 , pp. 1022-1046
    • Tetsuji, S.1
  • 9
    • 0003992447 scopus 로고
    • Cambridge Univ. Press, Cambridge (1903) reprinted by Chelsea Publ. Co.
    • J.H. Grace and A. Young, The Algebra of Invariants, Cambridge Univ. Press, Cambridge (1903) (reprinted by Chelsea Publ. Co. in 1965).
    • (1965) The Algebra of Invariants
    • Grace, J.H.1    Young, A.2
  • 11
    • 0001416793 scopus 로고
    • Theory of invariants
    • A.C. Eringen (ed.), Academic Press, New York
    • A.J.M. Spencer, Theory of invariants, In: A.C. Eringen (ed.), Continuum Physics, Vol. I, Academic Press, New York (1971).
    • (1971) Continuum Physics , vol.1
    • Spencer, A.J.M.1
  • 12
    • 34250494619 scopus 로고
    • A new representation theorem for isotropic functions: Part I and II
    • Corrigendum, ibid., 43 (1971) 392-395
    • C.C. Wang, A new representation theorem for isotropic functions: Part I and II. Arch. Rat. Mech. Anal. 36 (1970) 166-223; Corrigendum, ibid., 43 (1971) 392-395.
    • (1970) Arch. Rat. Mech. Anal. , vol.36 , pp. 166-223
    • Wang, C.C.1
  • 13
    • 0001438758 scopus 로고
    • On isotropic functions of symmetric tensors, skewsymmetric tensors and vectors
    • G.F. Smith, On isotropic functions of symmetric tensors, skewsymmetric tensors and vectors. Int. J. Engng Sci. 9 (1971) 899-916.
    • (1971) Int. J. Engng Sci. , vol.9 , pp. 899-916
    • Smith, G.F.1
  • 14
    • 0015982497 scopus 로고
    • A derivation of invariants of fourth order tensors
    • H.T. Hahn, A derivation of invariants of fourth order tensors. J. Composite Materials 8 (1974) 2-14.
    • (1974) J. Composite Materials , vol.8 , pp. 2-14
    • Hahn, H.T.1
  • 15
    • 0014602683 scopus 로고
    • Invariant elastic constants for crystals
    • T.P. Srinivasan and S.D. Nigam, Invariant elastic constants for crystals. J. Math. Mech. 19 (1969) 411-420.
    • (1969) J. Math. Mech. , vol.19 , pp. 411-420
    • Srinivasan, T.P.1    Nigam, S.D.2
  • 16
    • 0023389471 scopus 로고
    • Invariants of anisotropic elastic constants
    • T.C.T. Ting, Invariants of anisotropic elastic constants. Q. J. Mech. Appl. Math. 40 (1987) 431-448.
    • (1987) Q. J. Mech. Appl. Math. , vol.40 , pp. 431-448
    • Ting, T.C.T.1
  • 17
    • 84984030647 scopus 로고
    • Irreduzible Invarianten eines Tensors vierter Stufe
    • J. Betten and W. Helisch, Irreduzible Invarianten eines Tensors vierter Stufe. Zeits. angew. Math. Mech. 72 (1992) 45-57.
    • (1992) Zeits. Angew. Math. Mech. , vol.72 , pp. 45-57
    • Betten, J.1    Helisch, W.2
  • 18
    • 0001635791 scopus 로고
    • Elements of a mathematical theory of elasticity
    • Lord Kelvin (W. Thomson), Elements of a mathematical theory of elasticity. Phil. Trans. Roy. Soc. Lond. 166 (1856) 481-498.
    • (1856) Phil. Trans. Roy. Soc. Lond. , vol.166 , pp. 481-498
    • Kelvin, L.1
  • 19
    • 79959961152 scopus 로고
    • Elasticity
    • Adam and Charles Black, Edinburgh
    • Lord Kelvin (W. Thomson), Elasticity. Encyclopedia Britanica, Adam and Charles Black, Edinburgh (1878).
    • (1878) Encyclopedia Britanica
    • Kelvin, L.1
  • 21
    • 0016942359 scopus 로고
    • Constraints in linear elastic materials
    • A.C. Pipkin, Constraints in linear elastic materials. J. Elasticity 6 (1976) 179-193.
    • (1976) J. Elasticity , vol.6 , pp. 179-193
    • Pipkin, A.C.1
  • 23
    • 0025387418 scopus 로고
    • Eigentensors of linear anisotropic elastic materials
    • M.M. Mehrabadi and S.C. Cowin, Eigentensors of linear anisotropic elastic materials. Q. J. Mech. Appl. Math. 43 (1990) 15-41.
    • (1990) Q. J. Mech. Appl. Math. , vol.43 , pp. 15-41
    • Mehrabadi, M.M.1    Cowin, S.C.2
  • 24
    • 44049110894 scopus 로고
    • On the structure of the linear anisotropic elastic symmetries
    • S.C. Cowin and M.M. Mehrabadi, On the structure of the linear anisotropic elastic symmetries. J. Mech. Phys. Solids 40 (1992) 1459-1472.
    • (1992) J. Mech. Phys. Solids , vol.40 , pp. 1459-1472
    • Cowin, S.C.1    Mehrabadi, M.M.2
  • 25
    • 0027001124 scopus 로고
    • Spectral decomposition of the elasticity tensor
    • S. Sutcliffe, Spectral decomposition of the elasticity tensor. J. Appl. Mech. 59 (1992) 762-773.
    • (1992) J. Appl. Mech. , vol.59 , pp. 762-773
    • Sutcliffe, S.1
  • 27
    • 0029369636 scopus 로고
    • Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors
    • H. Xiao, Invariant characteristic representations for classical and micropolar anisotropic elasticity tensors. J. Elasticity 40 (1995) 239-265.
    • (1995) J. Elasticity , vol.40 , pp. 239-265
    • Xiao, H.1
  • 28
    • 0000188771 scopus 로고
    • Unconventional approach to linear elasticity
    • J. Rychlewski, Unconventional approach to linear elasticity. Arch. Mech. 47 (1995) 149-171.
    • (1995) Arch. Mech. , vol.47 , pp. 149-171
    • Rychlewski, J.1


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