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Volumn 1, Issue 1, 1996, Pages 73-93

Smoothness of the scalar coefficients in representations of isotropic tensor-valued functions

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; PROBLEM SOLVING; THREE DIMENSIONAL;

EID: 0030105029     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/108128659600100106     Document Type: Article
Times cited : (3)

References (19)
  • 1
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    • (1955) J. Rational Mech. Anal. , vol.4 , pp. 323-425
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 2
    • 0000198210 scopus 로고
    • The derivation of stress-deformation relations for a Stokesian fluid
    • Serrin, J.: The derivation of stress-deformation relations for a Stokesian fluid. J. Math. Mech., 8, 459-469 (1959).
    • (1959) J. Math. Mech. , vol.8 , pp. 459-469
    • Serrin, J.1
  • 3
    • 0000286944 scopus 로고
    • Mathematical principles of classical fluid mechanics
    • ed., S. Flügge and C. Truesdell, Springer, Berlin
    • Serrin, J.: Mathematical principles of classical fluid mechanics, in Handbuch der Physik, Vol. VIII/1, pp. 125-263, ed., S. Flügge and C. Truesdell, Springer, Berlin, 1959.
    • (1959) Handbuch der Physik , vol.8 , Issue.1 , pp. 125-263
    • Serrin, J.1
  • 4
    • 0002565890 scopus 로고
    • The non-linear field theories of mechanics
    • ed., S. Flügge, Springer, Berlin
    • Truesdell, C. and Noll, W.: The non-linear field theories of mechanics, in Handbuch der Physik, Vol. III/3, ed., S. Flügge, Springer, Berlin, 1965.
    • (1965) Handbuch der Physik , vol.3 , Issue.3
    • Truesdell, C.1    Noll, W.2
  • 7
    • 0028383606 scopus 로고
    • 2 for isotropic tensor functions
    • 2 for isotropic tensor functions. J. Elasticity, 34, 229-238 (1994).
    • (1994) J. Elasticity , vol.34 , pp. 229-238
    • Man, C.-S.1
  • 8
    • 84972553380 scopus 로고
    • Differentiability properties of symmetric and isotropic functions
    • Ball, J. M.: Differentiability properties of symmetric and isotropic functions. Duke Math. J., 51, 699-728 (1984).
    • (1984) Duke Math. J. , vol.51 , pp. 699-728
    • Ball, J.M.1
  • 9
    • 33750430348 scopus 로고
    • On representations for isotropic functions, Part I. Isotropic functions of symmetric tensors and vectors
    • Wang, C.-C.: On representations for isotropic functions, Part I. Isotropic functions of symmetric tensors and vectors. Arch. Rational Mech. Anal., 33, 249-267 (1969).
    • (1969) Arch. Rational Mech. Anal. , vol.33 , pp. 249-267
    • Wang, C.-C.1
  • 10
    • 0038370683 scopus 로고
    • Tensor fields, an appendix to the Classical field theories
    • ed., S. Flügge, Springer, Berlin
    • Ericksen, J. L.: Tensor fields, an appendix to the Classical field theories, in Handbuch der Physik, Vol. III/1, ed., S. Flügge, Springer, Berlin, 1960.
    • (1960) Handbuch der Physik , vol.3 , Issue.1
    • Ericksen, J.L.1
  • 12
    • 3743117433 scopus 로고
    • On the coupling of pressure and deviatoric stress in hyperelastic materials
    • ed., S.-C. Chou, F. D. Bartlett, T. W. Wright, and K. Iyer, Plymouth, MA
    • Scheidler, M.: On the coupling of pressure and deviatoric stress in hyperelastic materials, in Proceedings of the 13th Army Symposium on Solid Mechanics, 539-550, ed., S.-C. Chou, F. D. Bartlett, T. W. Wright, and K. Iyer, Plymouth, MA, 1993.
    • (1993) Proceedings of the 13th Army Symposium on Solid Mechanics , pp. 539-550
    • Scheidler, M.1
  • 13
    • 84979325887 scopus 로고
    • Das isotrope Elastizitätsgesetz
    • Richter, H.: Das isotrope Elastizitätsgesetz. Z. Angew. Math. Mech., 28, 205-209 (1948).
    • (1948) Z. Angew. Math. Mech. , vol.28 , pp. 205-209
    • Richter, H.1
  • 14
    • 79952535079 scopus 로고
    • On the decomposition of the isotropic tensorial function in orthogonal bases
    • Blinowski, A.: On the decomposition of the isotropic tensorial function in orthogonal bases. Bull. de l'Academie Polonaise des Sciences, 28, 11-16 (1980).
    • (1980) Bull. de l'Academie Polonaise des Sciences , vol.28 , pp. 11-16
    • Blinowski, A.1
  • 16
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    • Time rates of generalized strain tensors. Part I: Component formulas
    • Scheidler, M.: Time rates of generalized strain tensors. Part I: Component formulas. Mech. Mat., 11, 199-210 (1991).
    • (1991) Mech. Mat. , vol.11 , pp. 199-210
    • Scheidler, M.1
  • 17
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    • Overall moduli of solids with microcracks: Load-induced anisotropy
    • Horii, H. and Nemat-Nasser, S.: Overall moduli of solids with microcracks: Load-induced anisotropy. J. Mech. Phys. Solids, 31, 155-171 (1983).
    • (1983) J. Mech. Phys. Solids , vol.31 , pp. 155-171
    • Horii, H.1    Nemat-Nasser, S.2
  • 18
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    • Smoothness of the scalar coefficients in representations of isotropic tensor-valued functions
    • U. S. Army Research Laboratory, MD
    • Scheidler, M.: Smoothness of the scalar coefficients in representations of isotropic tensor-valued functions. Technical Report ARL-TR-804, U. S. Army Research Laboratory, MD, 1995.
    • (1995) Technical Report ARL-TR-804
    • Scheidler, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.