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Volumn 43, Issue 5-6, 2005, Pages 447-456

Isotropic tensor-valued polynomial function of second and third-order tensors

Author keywords

Representation theorem; Third order tensors; Turbulence closures

Indexed keywords

CORRELATION METHODS; FUNCTIONS; ISOTOPES; POLYNOMIAL APPROXIMATION; SET THEORY; THEOREM PROVING; TURBULENCE;

EID: 17844407644     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2004.12.004     Document Type: Article
Times cited : (4)

References (12)
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    • One-point turbulence structure tensors
    • S.C. Kassinos, and W.C. Reynolds One-point turbulence structure tensors J. Fluid Mech. 428 2001 213 248
    • (2001) J. Fluid Mech. , vol.428 , pp. 213-248
    • Kassinos, S.C.1    Reynolds, W.C.2
  • 3
  • 4
    • 0003152197 scopus 로고
    • On velocity correlations and the solutions of the equations of turbulent fluctuations
    • P.Y. Chou On velocity correlations and the solutions of the equations of turbulent fluctuations Q. Appl. Math. 3 1945 38 54
    • (1945) Q. Appl. Math. , vol.3 , pp. 38-54
    • Chou, P.Y.1
  • 5
    • 0001416793 scopus 로고
    • Theory of invariants
    • C. Eringen Academic Press New York and London
    • A.J.M. Spencer Theory of invariants C. Eringen Part III of continuum physics 1971 Academic Press New York and London
    • (1971) Part III of Continuum Physics
    • Spencer, A.J.M.1
  • 7
    • 0026866116 scopus 로고
    • On third order tensor-valued isotropic functions
    • S. Pennisi On third order tensor-valued isotropic functions Int. J. Engng. Sci. 30 1992 879 892
    • (1992) Int. J. Engng. Sci. , vol.30 , pp. 879-892
    • Pennisi, S.1
  • 8
    • 0001438758 scopus 로고
    • On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
    • G.F. Smith On isotropic functions of symmetric tensors, skew-symmetric 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
  • 9
    • 0017497057 scopus 로고
    • On irreducible representations for isotropic scalar functions
    • J.P. Boheler On irreducible representations for isotropic scalar functions Z.A.M.M. 57 1977 323 327
    • (1977) Z.A.M.M. , vol.57 , pp. 323-327
    • Boheler, J.P.1
  • 10
    • 0023470872 scopus 로고
    • On the irreducibility of Professor G.F. Smith's representations for isotropic functions
    • S. Pennisi, and M. Trovato On the irreducibility of Professor G.F. Smith's representations for isotropic functions Int. J. Engng. Sci. 25 1987 1056 1065
    • (1987) Int. J. Engng. Sci. , vol.25 , pp. 1056-1065
    • Pennisi, S.1    Trovato, M.2
  • 11
    • 3543077189 scopus 로고
    • Isotropic tensors and rotation tensors of dimension m and order n
    • G.F. Smith Isotropic tensors and rotation tensors of dimension m and order n Tensor 19 1968 79 88
    • (1968) Tensor , vol.19 , pp. 79-88
    • Smith, G.F.1
  • 12
    • 0009969575 scopus 로고    scopus 로고
    • Towards a rational model for the triple velocity correlations of turbulence
    • B.A. Younis, T.B. Gatski, and C.G. Speziale Towards a rational model for the triple velocity correlations of turbulence Proc. R. Soc. Lond. A 456 2000 909 920
    • (2000) Proc. R. Soc. Lond. A , vol.456 , pp. 909-920
    • Younis, B.A.1    Gatski, T.B.2    Speziale, C.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.