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Volumn 76, Issue 4, 1996, Pages 205-214

On isotropic extension of anisotropic tensor functions

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EID: 21344441069     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.19960760403     Document Type: Article
Times cited : (17)

References (22)
  • 3
    • 49749206350 scopus 로고
    • Nonlinear tensor functions of several tensor arguments
    • LOKHIN, V. V.; SEDOV, L. I.: Nonlinear tensor functions of several tensor arguments. Priklady Mat. Mekh. 27 (1963), 393-417.
    • (1963) Priklady Mat. Mekh. , vol.27 , pp. 393-417
    • Lokhin, V.V.1    Sedov, L.I.2
  • 4
    • 33748006693 scopus 로고
    • A system of defining parameters characterizing the geometrical properties of an anisotropic medium
    • LOKHIN, V. V.: A system of defining parameters characterizing the geometrical properties of an anisotropic medium. Soviet Phys., Doklady 8 (1963), 260-261.
    • (1963) Soviet Phys., Doklady , vol.8 , pp. 260-261
    • Lokhin, V.V.1
  • 5
    • 33747919759 scopus 로고
    • General forms of the relations between tensor fields in an anisotropic continuous medium, the properties of which are described by vectors, tensors of the second rank, and antisymmetric tensors of the third rank
    • Doklady
    • LOKHIN, V. V.: General forms of the relations between tensor fields in an anisotropic continuous medium, the properties of which are described by vectors, tensors of the second rank, and antisymmetric tensors of the third rank. Soviet Phys., Doklady 8 (1963), 345-348.
    • (1963) Soviet Phys. , vol.8 , pp. 345-348
    • Lokhin, V.V.1
  • 6
    • 84983988099 scopus 로고
    • A new representation theorem for isotropic functions. Part 1 and Part 2
    • WANG, C. C.: A new representation theorem for isotropic functions. Part 1 and Part 2. Arch. Rat. Mech. Analysis Appl. 36 (1970), 166-223.
    • (1970) Arch. Rat. Mech. Analysis Appl. , vol.36 , pp. 166-223
    • Wang, C.C.1
  • 7
    • 0040648250 scopus 로고
    • Corrigendum to my papers on "representations for isotropic functions"
    • WANG, C. C.: Corrigendum to my papers on "representations for isotropic functions". Arch. Rat. Mech. Analysis Appl. 43 (1971), 392-395.
    • (1971) Arch. Rat. Mech. Analysis Appl. , vol.43 , pp. 392-395
    • Wang, C.C.1
  • 8
    • 0001438758 scopus 로고
    • On isotropic functions of symmetric tensors, skewsymmetric tensors and vectors
    • SMITH, G. F.: On isotropic functions of symmetric tensors, skewsymmetric tensors and vectors. Internat. J. Eng. Sci. 9 (1971), 899-916.
    • (1971) Internat. J. Eng. Sci. , vol.9 , pp. 899-916
    • Smith, G.F.1
  • 9
    • 0343495907 scopus 로고
    • On transversely isotropic functions of vectors, symmetric second order tensors and skewsymmetric second order tensors
    • SMITH, G. F.: On transversely isotropic functions of vectors, symmetric second order tensors and skewsymmetric second order tensors. Quart. J. Appl. Mat. 39 (1982), 509-516.
    • (1982) Quart. J. Appl. Mat. , vol.39 , pp. 509-516
    • Smith, G.F.1
  • 10
    • 0001416793 scopus 로고
    • Theory of invariants
    • ERINGEN, A. C. (ed.): Academic Press, New York
    • SPENCER, A. J. M.: Theory of invariants. In: ERINGEN, A. C. (ed.): Continuum physics. Vol. I. Academic Press, New York 1971, pp. 239-353.
    • (1971) Continuum Physics , vol.1 , pp. 239-353
    • Spencer, A.J.M.1
  • 11
    • 0017497057 scopus 로고
    • On irreducible representations for isotropic scalar functions
    • BOEHLER, J. P.: On irreducible representations for isotropic scalar functions. ZAMM 57 (1977), 323-327.
    • (1977) ZAMM , vol.57 , pp. 323-327
    • Boehler, J.P.1
  • 12
    • 0018454663 scopus 로고
    • A simple derivation of representations for nonpolynomial constitutive equations in some cases of anisotropies
    • BOEHLER, J. P.: A simple derivation of representations for nonpolynomial constitutive equations in some cases of anisotropies. ZAMM 59 (1979), 157-167.
    • (1979) ZAMM , vol.59 , pp. 157-167
    • Boehler, J.P.1
  • 13
    • 0003285491 scopus 로고
    • Applications of tensor functions in solid mechanics
    • Springer-Verlag, Wien, New York
    • BOEHLER, J. P.: Applications of tensor functions in solid mechanics. CISM Courses and Lectures No. 292. Springer-Verlag, Wien, New York 1987.
    • (1987) CISM Courses and Lectures No. 292
    • Boehler, J.P.1
  • 14
    • 0020243053 scopus 로고
    • On representations of anisotropic invcariants
    • LIU, I. S.: On representations of anisotropic invcariants. Internat. J. Eng. Sci. 20 (1982), 1099-1109.
    • (1982) Internat. J. Eng. Sci. , vol.20 , pp. 1099-1109
    • Liu, I.S.1
  • 15
    • 0000363407 scopus 로고
    • On structural tensors of anisotropic solids
    • ZHANG, J. M.; RYCHLEWSKI, J.: On structural tensors of anisotropic solids. Arch. of Mech. 42 (1990), 267-277.
    • (1990) Arch. of Mech. , vol.42 , pp. 267-277
    • Zhang, J.M.1    Rychlewski, J.2
  • 16
    • 0012767703 scopus 로고
    • On representations of tensor functions: A review
    • RYCHLEWSKI, J.; ZHANG, J. M.: On representations of tensor functions: A review. Advances in Mech. 14 (1991) 1, 75-94.
    • (1991) Advances in Mech. , vol.14 , Issue.1 , pp. 75-94
    • Rychlewski, J.1    Zhang, J.M.2
  • 17
    • 0007545033 scopus 로고
    • Recent advances in applications of tensor functions in solid mechanics
    • BETTEN, J.: Recent advances in applications of tensor functions in solid mechanics. Advances in Mech. 14 (1991) 4, 79-109.
    • (1991) Advances in Mech. , vol.14 , Issue.4 , pp. 79-109
    • Betten, J.1
  • 18
    • 0027595791 scopus 로고
    • Tensors which characterize anisotropies
    • ZHENG, Q. S.; SPENCER, A. J. M.: Tensors which characterize anisotropies. Internat. J. Eng. Sci. 31 (1993), 679-693.
    • (1993) Internat. J. Eng. Sci. , vol.31 , pp. 679-693
    • Zheng, Q.S.1    Spencer, A.J.M.2
  • 19
    • 0027675525 scopus 로고
    • On transversely isotropic, orthotropic and relatively isotropic functions of symmetric tensors, skewsymmetric tensors and vectors. Part I-V. Internat
    • ZHENG, Q. S.: On transversely isotropic, orthotropic and relatively isotropic functions of symmetric tensors, skewsymmetric tensors and vectors. Part I-V. Internat. J. Eng. Scei. 31 (1993), 1399-1453.
    • (1993) J. Eng. Scei. , vol.31 , pp. 1399-1453
    • Zheng, Q.S.1
  • 20
    • 2342518653 scopus 로고
    • A general representation theorem for anisotropic invariants
    • CHIEN, W. Z. et al. (eds.): August 23-26, Beijing
    • XIAO, H.; GUO, Z. H.: A general representation theorem for anisotropic invariants. In CHIEN, W. Z. et al. (eds.): Proc. 2nd Internat. Conf. Nonlin. Mech., August 23-26, Beijing 1993, pp. 206-210.
    • (1993) Proc. 2nd Internat. Conf. Nonlin. Mech. , pp. 206-210
    • Xiao, H.1    Guo, Z.H.2
  • 22
    • 33747796882 scopus 로고    scopus 로고
    • Two general representation theorems for arbitrary-order-tensor-valued isotropic and anisotropic tensor functions of vectors and second order tensors
    • XIAO, H.: Two general representation theorems for arbitrary-order-tensor-valued isotropic and anisotropic tensor functions of vectors and second order tensors. ZAMM 76 (1996) 3, 155-165.
    • (1996) ZAMM , vol.76 , Issue.3 , pp. 155-165
    • Xiao, H.1


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