메뉴 건너뛰기




Volumn 40, Issue 1, 1996, Pages 69-106

Thermodynamic constitutive equations for materials with memory on a material time scale

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; ENTHALPY; ENTROPY; FREE ENERGY; MATHEMATICAL MODELS; POLYMERS; SPECIFIC HEAT; STRESSES; TEMPERATURE; THERMAL EFFECTS; THREE DIMENSIONAL; VISCOELASTICITY;

EID: 0029769843     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.550789     Document Type: Article
Times cited : (91)

References (63)
  • 1
    • 0347936294 scopus 로고
    • On the temperature dependence of cooperative relaxation properties in glass-forming liquids
    • Adam, G. and J. H. Gibbs, "On the temperature dependence of cooperative relaxation properties in glass-forming liquids," J. Chem. Phys. 43, 139-146 (1965).
    • (1965) J. Chem. Phys. , vol.43 , pp. 139-146
    • Adam, G.1    Gibbs, J.H.2
  • 4
    • 4243131838 scopus 로고
    • Representation theorems in the mechanics of materials with memory
    • Chacon, R. V. S. and R. S. Rivlin, "Representation theorems in the mechanics of materials with memory," Z. Angew. Math. Phys. 15, 444-447 (1964).
    • (1964) Z. Angew. Math. Phys. , vol.15 , pp. 444-447
    • Chacon, R.V.S.1    Rivlin, R.S.2
  • 5
    • 0242469758 scopus 로고
    • On the theory of the viscoelastic behavior of soft polymers in moderately large deformations
    • Chang, W. V., R. Bloch, and N. W. Tschoegl, "On the theory of the viscoelastic behavior of soft polymers in moderately large deformations," Rheol. Acta 15, 367-378 (1976).
    • (1976) Rheol. Acta , vol.15 , pp. 367-378
    • Chang, W.V.1    Bloch, R.2    Tschoegl, N.W.3
  • 7
    • 0040575006 scopus 로고
    • Linear non-isothermal viscoelastic solids
    • Christensen, R. N. and P. M. Naghdi, "Linear non-isothermal viscoelastic solids," Acta Mech. 3, 1-25 (1967).
    • (1967) Acta Mech. , vol.3 , pp. 1-25
    • Christensen, R.N.1    Naghdi, P.M.2
  • 8
    • 33747569387 scopus 로고
    • Thermodynamics of materials with memory
    • Coleman, B. D., "Thermodynamics of materials with memory," Arch. Ration. Mech. Anal. 17, 1-46 (1964a).
    • (1964) Arch. Ration. Mech. Anal. , vol.17 , pp. 1-46
    • Coleman, B.D.1
  • 9
    • 0001189481 scopus 로고
    • On thermodynamics, strain impulses, and viscoelasticity
    • Coleman, B. D., "On thermodynamics, strain impulses, and viscoelasticity," Arch. Ration. Mech. Anal. 17, 230-254 (1964b).
    • (1964) Arch. Ration. Mech. Anal. , vol.17 , pp. 230-254
    • Coleman, B.D.1
  • 10
    • 0000906473 scopus 로고
    • Foundations of linear viscoelasticity
    • Coleman, B. D. and W. Noll, "Foundations of linear viscoelasticity," Rev. Mod. Phys. 33, 239-249 (1961).
    • (1961) Rev. Mod. Phys. , vol.33 , pp. 239-249
    • Coleman, B.D.1    Noll, W.2
  • 11
    • 0242553325 scopus 로고
    • Erratum: Foundations of linear viscoelasticity
    • Coleman, B. D. and W. Noll, "Erratum: Foundations of linear viscoelasticity," Rev. Mod. Phys. 36, 1103-1104 (1964).
    • (1964) Rev. Mod. Phys. , vol.36 , pp. 1103-1104
    • Coleman, B.D.1    Noll, W.2
  • 12
    • 4243188399 scopus 로고
    • Doctoral thesis, Purdue University, West Lafayette, IN
    • Colucci, D. M., Doctoral thesis, Purdue University, West Lafayette, IN, 1995.
    • (1995)
    • Colucci, D.M.1
  • 13
    • 0014628727 scopus 로고
    • A class of simple solids with fading memory
    • Crochet, M. J. and P. M. Naghdi, "A class of simple solids with fading memory," Int. J. Eng. Soc. 7, 1173-1201 (1969).
    • (1969) Int. J. Eng. Soc. , vol.7 , pp. 1173-1201
    • Crochet, M.J.1    Naghdi, P.M.2
  • 15
    • 0015401331 scopus 로고
    • A class of non-isothermal viscoelastic fluids
    • Crochet, M. J. and P. M. Naghdi, "A class of non-isothermal viscoelastic fluids," Int. J. Eng. Sci. 10, 775-801 (1972).
    • (1972) Int. J. Eng. Sci. , vol.10 , pp. 775-801
    • Crochet, M.J.1    Naghdi, P.M.2
  • 16
    • 0344464394 scopus 로고
    • On thermal effects in a special class of viscoelastic fluids
    • Crochet, M. J. and P. M. Naghdi, "On thermal effects in a special class of viscoelastic fluids," Rheol. Acta. 12, 321-346 (1973).
    • (1973) Rheol. Acta , vol.12 , pp. 321-346
    • Crochet, M.J.1    Naghdi, P.M.2
  • 17
    • 0017935031 scopus 로고
    • On thermomechanics of polymers in the transition and rubber regions
    • Crochet, M. J. and P. M. Naghdi, "On thermomechanics of polymers in the transition and rubber regions," J. Rheol. 22, 73-89 (1978).
    • (1978) J. Rheol. , vol.22 , pp. 73-89
    • Crochet, M.J.1    Naghdi, P.M.2
  • 18
    • 0019622946 scopus 로고
    • Use of a theoretical equation of state to interpret time-dependent free volume in polymer glasses
    • Curro, J. G., R. Lagasse, and R. Simha, "Use of a theoretical equation of state to interpret time-dependent free volume in polymer glasses," J. Appl. Phys. 52, 5892-5897 (1981).
    • (1981) J. Appl. Phys. , vol.52 , pp. 5892-5897
    • Curro, J.G.1    Lagasse, R.2    Simha, R.3
  • 20
    • 0002696010 scopus 로고
    • Time-temperature superposition in thermorheologically complex materials
    • Fesko, D. G. and N. W. Tschoegl, "Time-temperature superposition in thermorheologically complex materials," J. Polym. Sci. C 35, 51-69 (1971).
    • (1971) J. Polym. Sci. C , vol.35 , pp. 51-69
    • Fesko, D.G.1    Tschoegl, N.W.2
  • 21
    • 11644317185 scopus 로고
    • The mechanics of non-linear materials with memory
    • Green, A. E. and R. S. Rivlin, "The mechanics of non-linear materials with memory," Arch. Ration. Mech. Anal. 1, 1-45 (1957).
    • (1957) Arch. Ration. Mech. Anal. , vol.1 , pp. 1-45
    • Green, A.E.1    Rivlin, R.S.2
  • 22
    • 34250946596 scopus 로고
    • The mechanics of non-linear materials with memory
    • Green, A. E. and R. S. Rivlin, "The mechanics of non-linear materials with memory," Arch. Ration. Mech. Anal. 4, 387-412 (1960).
    • (1960) Arch. Ration. Mech. Anal. , vol.4 , pp. 387-412
    • Green, A.E.1    Rivlin, R.S.2
  • 23
    • 0346005386 scopus 로고
    • Stress relaxation or creep of linear viscoelastic substances under varying temperature
    • Hopkins, I. N., "Stress relaxation or creep of linear viscoelastic substances under varying temperature," J. Polym. Sci. 28, 631 (1958).
    • (1958) J. Polym. Sci. , vol.28 , pp. 631
    • Hopkins, I.N.1
  • 24
    • 0019279481 scopus 로고
    • Non-linear viscoelasticity based on free volume considerations
    • Knauss, W. G. and I. Emri, "Non-linear viscoelasticity based on free volume considerations," Comp. Struct. 13, 123-133 (1981).
    • (1981) Comp. Struct. , vol.13 , pp. 123-133
    • Knauss, W.G.1    Emri, I.2
  • 25
    • 0023090337 scopus 로고
    • Volume change and the nonlinearly thermo-elastic constitution of polymers
    • Knauss, W. G. and I. Emri, "Volume change and the nonlinearly thermo-elastic constitution of polymers," Polym. Eng. Sci. 27, 86-100 (1987).
    • (1987) Polym. Eng. Sci. , vol.27 , pp. 86-100
    • Knauss, W.G.1    Emri, I.2
  • 26
    • 0000487360 scopus 로고
    • La contraction isotherme du volume des polymeres amorphes
    • Kovacs, A. J., "La contraction isotherme du volume des polymeres amorphes," J. Polym. Sci. 30, 131-161 (1958).
    • (1958) J. Polym. Sci. , vol.30 , pp. 131-161
    • Kovacs, A.J.1
  • 28
    • 0043116587 scopus 로고
    • Predicting the shift in viscoelastic response caused by physical aging of glassy polymers
    • Lagasse, R. and J. G. Curro, "Predicting the shift in viscoelastic response caused by physical aging of glassy polymers." Macromolecules 15, 1559-1561 (1982).
    • (1982) Macromolecules , vol.15 , pp. 1559-1561
    • Lagasse, R.1    Curro, J.G.2
  • 29
    • 4243124390 scopus 로고
    • Thermodynamic Formulation of Finite Linear Viscoelasticity
    • edited by A. C. Eringen Gordon and Breach, New York
    • Lianis, G., "Thermodynamic Formulation of Finite Linear Viscoelasticity," in Recent Advances in Engineering Science, edited by A. C. Eringen (Gordon and Breach, New York, 1968a), Vol. 3, pp. 499-512.
    • (1968) Recent Advances in Engineering Science , vol.3 , pp. 499-512
    • Lianis, G.1
  • 30
    • 0002588832 scopus 로고
    • Nonlinear Thermorheologically Simple Materials
    • Lianis, G., "Nonlinear Thermorheologically Simple Materials," Proc. Vth Int. Congr. Rheol. 1, 313-333 (1968b).
    • (1968) Proc. Vth Int. Congr. Rheol. , vol.1 , pp. 313-333
    • Lianis, G.1
  • 31
  • 34
    • 4243201856 scopus 로고
    • Doctoral thesis, Purdue University
    • Lustig, S. R., Doctoral thesis, Purdue University, 1989.
    • (1989)
    • Lustig, S.R.1
  • 36
    • 0015672460 scopus 로고
    • Interpretation of shift of relaxation time with deformation in glassy polymers in terms of excess enthalpy
    • Matsuoka, S., C. J. Alursio, and H. E. Bair, "Interpretation of shift of relaxation time with deformation in glassy polymers in terms of excess enthalpy," J. Appl. Phys. 44, 4265-4268 (1973).
    • (1973) J. Appl. Phys. , vol.44 , pp. 4265-4268
    • Matsuoka, S.1    Alursio, C.J.2    Bair, H.E.3
  • 38
    • 0002288470 scopus 로고
    • Dynamic compressibility of poly(viny) acetate and its relation to free volume
    • McKinney, J. E. and H. V. Belcher, "Dynamic compressibility of poly(viny) acetate) and its relation to free volume," J. Res. Natl. Bur. Stand. 67A, 43-53 (1963).
    • (1963) J. Res. Natl. Bur. Stand. , vol.67 A , pp. 43-53
    • McKinney, J.E.1    Belcher, H.V.2
  • 39
    • 0016058722 scopus 로고
    • PVT relationships for liquid & glassy poly(vinyl acetate)
    • McKinney, J. E. and M. Goldstein, "PVT relationships for liquid & glassy poly(vinyl acetate)," J. Res. Natl. Bur. Stand. 78A, 331-353 (1974).
    • (1974) J. Res. Natl. Bur. Stand. , vol.78 A , pp. 331-353
    • McKinney, J.E.1    Goldstein, M.2
  • 40
    • 0012221973 scopus 로고
    • Configurational thermodynamic properties of polymer liquids and glasses. I Poly(vinyl acetate)
    • McKinney, J. E. and R. Simha, "Configurational thermodynamic properties of polymer liquids and glasses. I Poly(vinyl acetate)," Macromolecules 7, 894-901 (1974).
    • (1974) Macromolecules , vol.7 , pp. 894-901
    • McKinney, J.E.1    Simha, R.2
  • 41
    • 0000814344 scopus 로고
    • Configurational thermodynamic properties of polymer liquids and glasses, Poly(vinyl acetate). II
    • McKinney, J. E. and R. Simha, "Configurational thermodynamic properties of polymer liquids and glasses, Poly(vinyl acetate). II," Macromolecules 9, 430-441 (1976).
    • (1976) Macromolecules , vol.9 , pp. 430-441
    • McKinney, J.E.1    Simha, R.2
  • 42
    • 33746290775 scopus 로고
    • Stress analysis for linear viscoelastic materials with temperature variation
    • Moreland, L. W. and E. H. Lee, "Stress analysis for linear viscoelastic materials with temperature variation," Trans. Soc. Rheol. 4, 233 (1960).
    • (1960) Trans. Soc. Rheol. , vol.4 , pp. 233
    • Moreland, L.W.1    Lee, E.H.2
  • 43
    • 84935438423 scopus 로고
    • Stress-strain behavior of rubber-reinforced glassy polymers
    • Newman, S. and S. Strella, "Stress-strain behavior of rubber-reinforced glassy polymers," J. Appl. Polym. Sci. 9, 2297-2307 (1965).
    • (1965) J. Appl. Polym. Sci. , vol.9 , pp. 2297-2307
    • Newman, S.1    Strella, S.2
  • 44
    • 34250971713 scopus 로고
    • A mathematical theory of the mechanical behavior of continuous media
    • Noll, W., "A mathematical theory of the mechanical behavior of continuous media," Arch. Ration. Mech. Anal. 2, 197-226 (1958).
    • (1958) Arch. Ration. Mech. Anal. , vol.2 , pp. 197-226
    • Noll, W.1
  • 45
    • 0043097584 scopus 로고
    • Small finite deformations of viscoelastic solids
    • Pipkin, A. C., "Small finite deformations of viscoelastic solids," Rev. Mod. Phys. 36, 1034-1064 (1964).
    • (1964) Rev. Mod. Phys. , vol.36 , pp. 1034-1064
    • Pipkin, A.C.1
  • 46
    • 0001526377 scopus 로고
    • Further remarks on the stress-deformation relations for isotropic materials
    • Rivlin, R. S., "Further remarks on the stress-deformation relations for isotropic materials," Arch. Ration. Mech. Anal. 4, 681-691 (1955b).
    • (1955) Arch. Ration. Mech. Anal. , vol.4 , pp. 681-691
    • Rivlin, R.S.1
  • 47
    • 0001526376 scopus 로고
    • Stress-deformation relations for isotropic materials
    • Rivlin, R. S. and J. L. Ericksen, "Stress-deformation relations for isotropic materials," Arch. Ration. Mech. Anal. 4, 323-333 (1955a).
    • (1955) Arch. Ration. Mech. Anal. , vol.4 , pp. 323-333
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 50
    • 4243122133 scopus 로고
    • A theory of nonlinear thermoelasticity based on irreversible thermodynamics
    • Schapery, R. A., "A theory of nonlinear thermoelasticity based on irreversible thermodynamics," Purdue Univ. Report No. AAES 65-7, 1965.
    • (1965) Purdue Univ. Report No. AAES 65-7
    • Schapery, R.A.1
  • 51
    • 0000068134 scopus 로고
    • An engineering theory of nonlinear viscoelasticity with applications
    • Schapery, R. A., "An engineering theory of nonlinear viscoelasticity with applications," Int. J. Solids Structure 2, 407-417 (1966).
    • (1966) Int. J. Solids Structure , vol.2 , pp. 407-417
    • Schapery, R.A.1
  • 52
    • 0014536869 scopus 로고
    • On the characterization of nonlinear viscoelastic materials
    • Schapery, R. A., "On the characterization of nonlinear viscoelastic materials," Polym. Eng. Sci. 9, 295-305 (1969a).
    • (1969) Polym. Eng. Sci. , vol.9 , pp. 295-305
    • Schapery, R.A.1
  • 53
    • 0041412047 scopus 로고
    • Further development of a thermodynamic constitutive theory: Stress formulation
    • Schapery, R. A., "Further development of a thermodynamic constitutive theory: Stress formulation," Purdue Univ. Report No. AAES 69-2, 1969b.
    • (1969) Purdue Univ. Report No. AAES 69-2
    • Schapery, R.A.1
  • 55
    • 4243186202 scopus 로고
    • Doctoral thesis, Purdue University
    • Shay, Jr., R. M., Doctoral thesis, Purdue University, 1990.
    • (1990)
    • Shay Jr., R.M.1
  • 57
    • 0022108390 scopus 로고
    • A new nonlinear viscoelastic constitutive equation for predicting yield in amorphous solid polymers
    • Shay, Jr., R. M. and J. M. Caruthers, "A new nonlinear viscoelastic constitutive equation for predicting yield in amorphous solid polymers," J. Rheol. 30, 781-827 (1986).
    • (1986) J. Rheol. , vol.30 , pp. 781-827
    • Shay Jr., R.M.1    Caruthers, J.M.2
  • 58
    • 0001287841 scopus 로고
    • Statistical thermodynamics of spherical and chain molecule fluids
    • Simha, R. and T. Somcynsky, "Statistical thermodynamics of spherical and chain molecule fluids," Macromolecules 2, 342-350 (1969).
    • (1969) Macromolecules , vol.2 , pp. 342-350
    • Simha, R.1    Somcynsky, T.2
  • 60
    • 0002565890 scopus 로고
    • The Non-Linear Field Theories of Mechanics
    • edited by S. Flugge Springer, Berlin
    • Truesdell, C. and W. Noll, "The Non-Linear Field Theories of Mechanics," Handbuch der Physik, edited by S. Flugge (Springer, Berlin, 1965).
    • (1965) Handbuch der Physik
    • Truesdell, C.1    Noll, W.2
  • 61
    • 0000818662 scopus 로고
    • A theory of viscoplasticity without a yield surface
    • Valanis, K. C., "A theory of viscoplasticity without a yield surface," Achs. Mech. 23, 517-533 (1971).
    • (1971) Achs. Mech. , vol.23 , pp. 517-533
    • Valanis, K.C.1
  • 62
    • 0001117452 scopus 로고
    • On the foundations of the endochronic theory of viscoplasticity
    • Valanis, K. C., "On the foundations of the endochronic theory of viscoplasticity," Achs. Mech. 27, 857-868 (1975).
    • (1975) Achs. Mech. , vol.27 , pp. 857-868
    • Valanis, K.C.1
  • 63
    • 0003922253 scopus 로고
    • translated by M. Long Blackie and Son, London
    • Volterra, V., Theory of Functionals, translated by M. Long (Blackie and Son, London, 1930).
    • (1930) Theory of Functionals
    • Volterra, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.