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Volumn 39, Issue 2-3, 2004, Pages 219-253

Nonisothermal Free Energies for Linear Theories with Memory

Author keywords

Free energy; Materials with memory; Nonisothermal; Thermodynamics; Viscoelasticity

Indexed keywords


EID: 1342309675     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(04)90009-X     Document Type: Article
Times cited : (19)

References (27)
  • 1
    • 0033276979 scopus 로고    scopus 로고
    • An explicit formula for the minimum free energy in linear viscoelasticity
    • L. Deseri, G. Gentili and M. Golden, An explicit formula for the minimum free energy in linear viscoelasticity, J. Elasticity 54, 141-185, (1999).
    • (1999) J. Elasticity , vol.54 , pp. 141-185
    • Deseri, L.1    Gentili, G.2    Golden, M.3
  • 2
    • 0033882118 scopus 로고    scopus 로고
    • Free energies in the frequency domain: The scalar case
    • J.M. Golden, Free energies in the frequency domain: The scalar case, Quart. Appl. Math. 58, 127-150, (2000).
    • (2000) Quart. Appl. Math. , vol.58 , pp. 127-150
    • Golden, J.M.1
  • 3
    • 1342311717 scopus 로고    scopus 로고
    • Maximum and minimum free energies and the concept of a minimal state
    • M. Fabrizio and J.M. Golden, Maximum and minimum free energies and the concept of a minimal state, Rendiconti di Matematica 20, 131-165, (2000).
    • (2000) Rendiconti di Matematica , vol.20 , pp. 131-165
    • Fabrizio, M.1    Golden, J.M.2
  • 4
    • 0036608291 scopus 로고    scopus 로고
    • Maximum and minimum free energies for a linear viscoelastic material
    • M. Fabrizio and J.M. Golden, Maximum and minimum free energies for a linear viscoelastic material, Quart. Appl. Math. 60, 341-381, (2002).
    • (2002) Quart. Appl. Math. , vol.60 , pp. 341-381
    • Fabrizio, M.1    Golden, J.M.2
  • 5
    • 0036492582 scopus 로고    scopus 로고
    • Maximum recoverable work, minimum free energy and state space in linear viscoelasticity
    • G. Gentili, Maximum recoverable work, minimum free energy and state space in linear viscoelasticity, Quart. Appl. Math., (2002).
    • (2002) Quart. Appl. Math.
    • Gentili, G.1
  • 6
    • 0346319021 scopus 로고
    • A new mathematical theory of simple materials
    • W. Noll, A new mathematical theory of simple materials, Arch. Rational Mech. Anal. 48, 1-50, (1972).
    • (1972) Arch. Rational Mech. Anal. , vol.48 , pp. 1-50
    • Noll, W.1
  • 7
    • 1342311720 scopus 로고    scopus 로고
    • The minimum free energy for a class of compressible viscoelastic fluids
    • M. Fabrizio, G. Gentili and J.M. Golden, The minimum free energy for a class of compressible viscoelastic fluids, Advances in Differential Equations 7, 319-342, (2002).
    • (2002) Advances in Differential Equations , vol.7 , pp. 319-342
    • Fabrizio, M.1    Gentili, G.2    Golden, J.M.3
  • 8
    • 0009552302 scopus 로고
    • The thermodynamics of materials with memory
    • Edited by D. Graffi, Liguori, Napoli
    • W.A. Day, The thermodynamics of materials with memory, In Materials with Memory, (Edited by D. Graffi), Liguori, Napoli, (1979).
    • (1979) Materials with Memory
    • Day, W.A.1
  • 10
    • 0030156862 scopus 로고    scopus 로고
    • On the analytic expression of the free energy in linear viscoelasticity
    • G. Del Piero and L. Deseri, On the analytic expression of the free energy in linear viscoelasticity, J. Elasticity 43, 247-278, (1996).
    • (1996) J. Elasticity , vol.43 , pp. 247-278
    • Del Piero, G.1    Deseri, L.2
  • 11
    • 0031332789 scopus 로고    scopus 로고
    • On the concepts of state and free energy in linear viscoelasticity
    • G. De Piero and L. Deseri, On the concepts of state and free energy in linear viscoelasticity, Arch. Rational Mech. Anal. 138, 1-35, (1997).
    • (1997) Arch. Rational Mech. Anal. , vol.138 , pp. 1-35
    • De Piero, G.1    Deseri, L.2
  • 12
    • 0003305637 scopus 로고
    • On recoverable work in linear viscoelasticity
    • S. Breuer and E.T. Onat, On recoverable work in linear viscoelasticity, Z. Angew. Math. Phys. 15, 13-21, (1964).
    • (1964) Z. Angew. Math. Phys. , vol.15 , pp. 13-21
    • Breuer, S.1    Onat, E.T.2
  • 13
    • 0035212280 scopus 로고    scopus 로고
    • Consequences of non-uniqueness in the free energy of materials with memory
    • J.M. Golden, Consequences of non-uniqueness in the free energy of materials with memory, Int. J. Engng. Sci. 39, 53-70, (2001).
    • (2001) Int. J. Engng. Sci. , vol.39 , pp. 53-70
    • Golden, J.M.1
  • 14
    • 34250475262 scopus 로고
    • The coldness, a universal function in thermoelastic bodies
    • I. Müller, The coldness, A universal function in thermoelastic bodies, Arch. Rational Mech. Anal. 41, 319-332, (1971).
    • (1971) Arch. Rational Mech. Anal. , vol.41 , pp. 319-332
    • Müller, I.1
  • 15
    • 33747569387 scopus 로고
    • Thermodynamics of materials with memory
    • B.D. Coleman, Thermodynamics of materials with memory, Arch. Rational Mech. Anal. 17, 1-45, (1964).
    • (1964) Arch. Rational Mech. Anal. , vol.17 , pp. 1-45
    • Coleman, B.D.1
  • 16
    • 0001718882 scopus 로고
    • A general theory of dissipation in materials with memory
    • B.D. Coleman and V.J. Mizel, A general theory of dissipation in materials with memory, Arch. Rational Mech. Anal. 27, 255-274, (1967).
    • (1967) Arch. Rational Mech. Anal. , vol.27 , pp. 255-274
    • Coleman, B.D.1    Mizel, V.J.2
  • 17
    • 21344486609 scopus 로고
    • Free energies and dissipation properties for systems with memory
    • M. Fabrizio, C. Giorgi and A. Morro, Free energies and dissipation properties for systems with memory, Arch. Rational Mech. Anal. 125, 341-373, (1994).
    • (1994) Arch. Rational Mech. Anal. , vol.125 , pp. 341-373
    • Fabrizio, M.1    Giorgi, C.2    Morro, A.3
  • 18
    • 0039459523 scopus 로고
    • Thermodynamics based on a work axiom
    • W.A. Day, Thermodynamics based on a work axiom, Arch. Rational Mech. Anal. 31, 1-34, (1970).
    • (1970) Arch. Rational Mech. Anal. , vol.31 , pp. 1-34
    • Day, W.A.1
  • 19
    • 34250464350 scopus 로고
    • Dissipative dynamical systems. Part 1: General theory
    • J.C. Willems, Dissipative dynamical systems. Part 1: General theory, Arch. Rational Mech. Anal. 45, 321-351, (1972).
    • (1972) Arch. Rational Mech. Anal. , vol.45 , pp. 321-351
    • Willems, J.C.1
  • 20
    • 0017632475 scopus 로고
    • On thermodynamics of semi-systems with restrictions on the accessibility of states
    • B.D. Coleman and D.R. Owen, On thermodynamics of semi-systems with restrictions on the accessibility of states, Arch. Rational Mech. Anal. 66, 173-182, (1977).
    • (1977) Arch. Rational Mech. Anal. , vol.66 , pp. 173-182
    • Coleman, B.D.1    Owen, D.R.2
  • 21
    • 0015976463 scopus 로고
    • A mathematical foundation for thermodynamics
    • B.D. Coleman and D.R. Owen, A mathematical foundation for thermodynamics, Arch. Rational Mech. Anal. 54, 1-104, (1974).
    • (1974) Arch. Rational Mech. Anal. , vol.54 , pp. 1-104
    • Coleman, B.D.1    Owen, D.R.2
  • 22
    • 1342333175 scopus 로고    scopus 로고
    • Minimum free energies for materials with finite memory
    • to appear
    • M. Fabrizio and J.M. Golden, Minimum free energies for materials with finite memory, J. Elasticity (to appear).
    • J. Elasticity
    • Fabrizio, M.1    Golden, J.M.2
  • 23
    • 0001380798 scopus 로고
    • Systems of integral equations on a half-line with kernels depending on the difference of arguments
    • I.C. Gohberg and M.G. Kreǐn, Systems of integral equations on a half-line with kernels depending on the difference of arguments, Am. Math. Soc. Transl. 14 (2), 217-287, (1960).
    • (1960) Am. Math. Soc. Transl. , vol.14 , Issue.2 , pp. 217-287
    • Gohberg, I.C.1    Kreǐn, M.G.2
  • 25
    • 0002036572 scopus 로고
    • Sulla nozione di stato per materiali viscoelastici di tipo "rate"
    • D. Graffi and M. Fabrizio, Sulla nozione di stato per materiali viscoelastici di tipo "rate", Atti Acc. Naz. Lincei 83, 201-208, (1990).
    • (1990) Atti Acc. Naz. Lincei , vol.83 , pp. 201-208
    • Graffi, D.1    Fabrizio, M.2
  • 26
    • 0016665958 scopus 로고
    • On thermodynamics and elastic-plastic materials
    • B.D. Coleman and D.R. Owen, On thermodynamics and elastic-plastic materials, Arch. Rational Mech. Anal. 59, 25-51, (1975).
    • (1975) Arch. Rational Mech. Anal. , vol.59 , pp. 25-51
    • Coleman, B.D.1    Owen, D.R.2
  • 27
    • 0029350976 scopus 로고
    • Internal dissipation, relaxation property, and free energy in materials with fading memory
    • M. Fabrizio, C. Giorgi and A. Morro, Internal dissipation, relaxation property, and free energy in materials with fading memory, J. Elasticity 45, 107-122, (1995).
    • (1995) J. Elasticity , vol.45 , pp. 107-122
    • Fabrizio, M.1    Giorgi, C.2    Morro, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.