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Volumn 152, Issue 1-3, 2008, Pages 45-52

Finite anisotropic elasticity and material frame indifference from a nonequilibrium thermodynamics perspective

Author keywords

Anisotropic finite elasticity; Nonequilibrium thermodynamics; Nonisothermal

Indexed keywords

ANISOTROPY; DEFORMATION; ELASTICITY; STRAIN; STRESSES;

EID: 43649092624     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.10.009     Document Type: Article
Times cited : (44)

References (26)
  • 1
    • 43649091026 scopus 로고    scopus 로고
    • S.C. Hunter, Mechanics of Continuous Media, Wiley, New Work, 1976.
    • S.C. Hunter, Mechanics of Continuous Media, Wiley, New Work, 1976.
  • 2
    • 43649100056 scopus 로고    scopus 로고
    • C. Truesdell, W. Noll, The Non-Linear Field Theories of Mechanics, 2nd ed., Springer, Berlin, 1992.
    • C. Truesdell, W. Noll, The Non-Linear Field Theories of Mechanics, 2nd ed., Springer, Berlin, 1992.
  • 3
    • 43649086621 scopus 로고    scopus 로고
    • A.N. Beris, B.J. Edwards, Thermodynamics of Flowing Systems, Oxford Science Publ, New York, 1994.
    • A.N. Beris, B.J. Edwards, Thermodynamics of Flowing Systems, Oxford Science Publ, New York, 1994.
  • 4
    • 0000313595 scopus 로고    scopus 로고
    • Dynamics and thermodynamics of complex fluids. I. Development of a general formalism
    • Grmela M., and Öttinger H.C. Dynamics and thermodynamics of complex fluids. I. Development of a general formalism. Phys. Rev. E 56 (1997) 6620
    • (1997) Phys. Rev. E , vol.56 , pp. 6620
    • Grmela, M.1    Öttinger, H.C.2
  • 5
    • 5344263088 scopus 로고    scopus 로고
    • Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism
    • Öttinger H.C., and Grmela M. Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism. Phys. Rev. E 56 (1997) 6633
    • (1997) Phys. Rev. E , vol.56 , pp. 6633
    • Öttinger, H.C.1    Grmela, M.2
  • 6
    • 84891553311 scopus 로고    scopus 로고
    • H.C. Öttinger, Beyond Equilibrium Thermodynamics, Wiley, Hobroken, 2005.
    • H.C. Öttinger, Beyond Equilibrium Thermodynamics, Wiley, Hobroken, 2005.
  • 7
    • 0000744722 scopus 로고
    • The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates
    • Simo J.C., Marsden J.E., and Krishnaprasad P.S. The Hamiltonian structure of nonlinear elasticity: The material and convective representations of solids, rods, and plates. Arch. Rat. Mech. Anal. 104 (1988) 125
    • (1988) Arch. Rat. Mech. Anal. , vol.104 , pp. 125
    • Simo, J.C.1    Marsden, J.E.2    Krishnaprasad, P.S.3
  • 8
    • 0001062875 scopus 로고
    • Non-canonical Poisson bracket for nonlinear elasticity with extensions to viscoelasticity
    • Edwards B.J., and Beris A.N. Non-canonical Poisson bracket for nonlinear elasticity with extensions to viscoelasticity. J. Phys. A: Math. Gen. 24 (1991) 2461
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 2461
    • Edwards, B.J.1    Beris, A.N.2
  • 10
    • 0033663036 scopus 로고    scopus 로고
    • The structure of convective nonlinearities in polymer rheology
    • Pleiner H., Liu M., and Brand H.R. The structure of convective nonlinearities in polymer rheology. Rheol. Acta 39 (2000) 560
    • (2000) Rheol. Acta , vol.39 , pp. 560
    • Pleiner, H.1    Liu, M.2    Brand, H.R.3
  • 11
    • 0038390759 scopus 로고    scopus 로고
    • Lagrange hydrodynamics as extended Euler hydrodynamics: Hamiltonian and GENERIC structures
    • Grmela M. Lagrange hydrodynamics as extended Euler hydrodynamics: Hamiltonian and GENERIC structures. Phys. Lett. A 296 (2002) 97
    • (2002) Phys. Lett. A , vol.296 , pp. 97
    • Grmela, M.1
  • 12
    • 0004111942 scopus 로고
    • Mathematical Modelling of Inelastic Deformation
    • Knobs R.J., and Morton K.W. (Eds), Chapman and Hall, London
    • Besseling J.F., and van der Giessen E. Mathematical Modelling of Inelastic Deformation. In: Knobs R.J., and Morton K.W. (Eds). Applied Mathematics and Mathematical Computation vol. 5 (1994), Chapman and Hall, London
    • (1994) Applied Mathematics and Mathematical Computation , vol.5
    • Besseling, J.F.1    van der Giessen, E.2
  • 13
    • 0000349757 scopus 로고    scopus 로고
    • Time-structure invariance criteria for closure approximations
    • Edwards B.J., and Öttinger H.C. Time-structure invariance criteria for closure approximations. Phys. Rev. E 56 (1997) 4097
    • (1997) Phys. Rev. E , vol.56 , pp. 4097
    • Edwards, B.J.1    Öttinger, H.C.2
  • 14
    • 0036755581 scopus 로고    scopus 로고
    • Modeling complex fluids with a tensor and a scalar as structural variables
    • Öttinger H.C. Modeling complex fluids with a tensor and a scalar as structural variables. Rev. Mex. Fis. 48 Suppl. 1 (2002) 220
    • (2002) Rev. Mex. Fis. , vol.48 , Issue.SUPPL. 1 , pp. 220
    • Öttinger, H.C.1
  • 15
    • 43649092624 scopus 로고    scopus 로고
    • M. Hütter, T.A. Tervoort, Thermodynamic considerations on nonisothermal finite anisotropic elasto-viscoplasticity, J. Non-Newtonian Fluid Mech. 152 (2008) 53-65.
    • M. Hütter, T.A. Tervoort, Thermodynamic considerations on nonisothermal finite anisotropic elasto-viscoplasticity, J. Non-Newtonian Fluid Mech. 152 (2008) 53-65.
  • 16
    • 0035876218 scopus 로고    scopus 로고
    • Symbolic test of the Jacobi identity for given generalized 'Poisson' bracket
    • Kröger M., Hütter M., and Öttinger H.C. Symbolic test of the Jacobi identity for given generalized 'Poisson' bracket. Comput. Phys. Commun. 137 (2001) 325
    • (2001) Comput. Phys. Commun. , vol.137 , pp. 325
    • Kröger, M.1    Hütter, M.2    Öttinger, H.C.3
  • 17
    • 43649097024 scopus 로고    scopus 로고
    • C. Truesdell, The Mechanical Foundations of Elasticity and Fluid Dynamics, Continuum Mechanics, vol. 1, Gordon and Breach, New York, 1966.
    • C. Truesdell, The Mechanical Foundations of Elasticity and Fluid Dynamics, Continuum Mechanics, vol. 1, Gordon and Breach, New York, 1966.
  • 18
    • 0028516293 scopus 로고
    • Plasticity theory formulated in terms of physically based microstructural variables. 1. Theory
    • Rubin M.B. Plasticity theory formulated in terms of physically based microstructural variables. 1. Theory. Int. J. Solids Struct. 31 (1994) 2615
    • (1994) Int. J. Solids Struct. , vol.31 , pp. 2615
    • Rubin, M.B.1
  • 19
    • 0025469241 scopus 로고
    • Determination of a constitutive relation for passive myocardium. I. A new functional form
    • Humphrey J.D., Strumpf R.K., and Yin F.C.P. Determination of a constitutive relation for passive myocardium. I. A new functional form. J. Biomech. Eng. 112 (1990) 333
    • (1990) J. Biomech. Eng. , vol.112 , pp. 333
    • Humphrey, J.D.1    Strumpf, R.K.2    Yin, F.C.P.3
  • 20
    • 0006280110 scopus 로고
    • Thermodynamic relations for high elastic materials
    • Flory P.J. Thermodynamic relations for high elastic materials. Trans. Faraday Soc. 57 (1961) 829
    • (1961) Trans. Faraday Soc. , vol.57 , pp. 829
    • Flory, P.J.1
  • 21
    • 46549096707 scopus 로고
    • Variational and projection methods for the volume constraint in finite deformation elasto-plasticity
    • Simo J.C., Taylor R.L., and Pister K.S. Variational and projection methods for the volume constraint in finite deformation elasto-plasticity. Comput. Meth. Appl. Mech. Eng. 51 (1985) 177
    • (1985) Comput. Meth. Appl. Mech. Eng. , vol.51 , pp. 177
    • Simo, J.C.1    Taylor, R.L.2    Pister, K.S.3
  • 23
    • 4243225440 scopus 로고    scopus 로고
    • Comment on "Convective nonlinearity in non-Newtonian fluids"-Temmen et al. reply
    • Temmen H., Pleiner H., Liu M., and Brand H.R. Comment on "Convective nonlinearity in non-Newtonian fluids"-Temmen et al. reply. Phys. Rev. Lett. 86 (2001) 745
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 745
    • Temmen, H.1    Pleiner, H.2    Liu, M.3    Brand, H.R.4
  • 24
    • 85024545548 scopus 로고
    • Elastic-plastic deformation at finite strains
    • Lee E.H. Elastic-plastic deformation at finite strains. J. Appl. Mech. 36 (1969) 1
    • (1969) J. Appl. Mech. , vol.36 , pp. 1
    • Lee, E.H.1
  • 25
    • 0000017757 scopus 로고    scopus 로고
    • A multi-mode approach to finite, three-dimensional, nonlinear viscoelastic behavior of polymer glasses
    • Tervoort T.A., Klompen E.T.J., and Govaert L.E. A multi-mode approach to finite, three-dimensional, nonlinear viscoelastic behavior of polymer glasses. J. Rheol. 40 (1996) 779
    • (1996) J. Rheol. , vol.40 , pp. 779
    • Tervoort, T.A.1    Klompen, E.T.J.2    Govaert, L.E.3
  • 26
    • 0034317792 scopus 로고    scopus 로고
    • Strain-hardening behavior of polycarbonate in the glassy state
    • Tervoort T.A., and Govaert L.E. Strain-hardening behavior of polycarbonate in the glassy state. J. Rheol. 44 (2000) 1263
    • (2000) J. Rheol. , vol.44 , pp. 1263
    • Tervoort, T.A.1    Govaert, L.E.2


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