메뉴 건너뛰기




Volumn 9, Issue 5, 2004, Pages 493-511

The derivative of isotropic tensor functions, elastic moduli and stress rate: I. Eigenvalue formulation

Author keywords

Elastic moduli; Isotropic tensor functions; Stress rate

Indexed keywords

CONTINUUM MECHANICS; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; STRESSES; TENSORS;

EID: 7444237716     PISSN: 10812865     EISSN: None     Source Type: Journal    
DOI: 10.1177/1081286504038672     Document Type: Article
Times cited : (7)

References (18)
  • 2
    • 0003150111 scopus 로고
    • A theorem of tensor calculus and its application to isotropic elasticity
    • Chadwick, P. and Ogden, R. W. A theorem of tensor calculus and its application to isotropic elasticity, Archives for Rational and Mechanical Analysis, 44, 54-68 (1971).
    • (1971) Archives for Rational and Mechanical Analysis , vol.44 , pp. 54-68
    • Chadwick, P.1    Ogden, R.W.2
  • 3
    • 0012122869 scopus 로고
    • Acceleration waves in inhomogeneous isotropic elastic bodies
    • 403
    • Bowen, R. M. and Wang, C.-C. Acceleration waves in inhomogeneous isotropic elastic bodies, Archives for Rational and Mechanical Analysis, 38, 13-45 (1970); 40, 403 (1971).
    • (1970) Archives for Rational and Mechanical Analysis , vol.38-40 , pp. 13-45
    • Bowen, R.M.1    Wang, C.-C.2
  • 4
    • 0000246048 scopus 로고
    • The derivative of a tensor-valued function of a tensor
    • Carlson, D. E. and Hoger, A. The derivative of a tensor-valued function of a tensor, Quarterly of Applied Mathematics, 44, 409-423 (1986).
    • (1986) Quarterly of Applied Mathematics , vol.44 , pp. 409-423
    • Carlson, D.E.1    Hoger, A.2
  • 5
    • 84972553380 scopus 로고
    • Differentiability properties of symmetric and isotropic functions
    • Ball, J. M. Differentiability properties of symmetric and isotropic functions, Duke Mathematical Journal, 51, 699-728 (1984).
    • (1984) Duke Mathematical Journal , vol.51 , pp. 699-728
    • Ball, J.M.1
  • 6
    • 0026103678 scopus 로고
    • Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms
    • Simo, J. C. and Taylor, R. L. Quasi-incompressible finite elasticity in principal stretches. Continuum basis and numerical algorithms, Computer Methods in Applied Mechanics and Engineering, 85, 273-310 (1991).
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.85 , pp. 273-310
    • Simo, J.C.1    Taylor, R.L.2
  • 8
    • 0030242853 scopus 로고    scopus 로고
    • Derivative of a function of a nonsymmetric second-order tensor
    • Balendran, B. and Nemat-Nasser, S. Derivative of a function of a nonsymmetric second-order tensor, Quarterly of Applied Mathematics, 54, 583-600 (1996).
    • (1996) Quarterly of Applied Mathematics , vol.54 , pp. 583-600
    • Balendran, B.1    Nemat-Nasser, S.2
  • 9
    • 0018496569 scopus 로고
    • Some properties of the set of fourth-order tensors, with application to elasticity
    • Del Piero, G. Some properties of the set of fourth-order tensors, with application to elasticity, Journal of Elasticity, 9, 245-261 (1979).
    • (1979) Journal of Elasticity , vol.9 , pp. 245-261
    • Del Piero, G.1
  • 11
    • 33749197583 scopus 로고
    • On the constitutive inequalities for simple materials - I
    • Hill, R., On the constitutive inequalities for simple materials - I, Journal of the Mechanics and Physics of Solids, 16, 229-242 (1968 ).
    • (1968) Journal of the Mechanics and Physics of Solids , vol.16 , pp. 229-242
    • Hill, R.1
  • 14
    • 0000198210 scopus 로고
    • The derivative of stress-deformation relations for a Stokesian fluid
    • Serrin, J. The derivative of stress-deformation relations for a Stokesian fluid, Journal of Mathematical Mechanics, 8, 459-469 (1959).
    • (1959) Journal of Mathematical Mechanics , vol.8 , pp. 459-469
    • Serrin, J.1
  • 16
    • 0033189159 scopus 로고    scopus 로고
    • Some new representations for spin tensors
    • Dui, G. Some new representations for spin tensors, Mechanics Research Communications, 26, 529-534 (1999).
    • (1999) Mechanics Research Communications , vol.26 , pp. 529-534
    • Dui, G.1
  • 18
    • 0001737632 scopus 로고
    • Large deformation isotropic elasticity: On the correlation of theory and experiment for compressible rubberlike solids
    • Ogden, R. W. Large deformation isotropic elasticity: on the correlation of theory and experiment for compressible rubberlike solids, Proceedings of the Royal Society, A328, 567-583 (1972).
    • (1972) Proceedings of the Royal Society , vol.A328 , pp. 567-583
    • Ogden, R.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.