메뉴 건너뛰기




Volumn 51, Issue 6, 2003, Pages 1127-1146

Finite thermoelasticity with limiting chain extensibility

Author keywords

Axial shear; Limiting chain extensibility; Material hardening; Nonlinear thermo elasticity

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; HARDENING; POLYNOMIALS; SHEAR STRENGTH; STIFFNESS; STRAIN; STRESS ANALYSIS;

EID: 0037409381     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-5096(02)00144-8     Document Type: Article
Times cited : (69)

References (52)
  • 1
    • 0035538136 scopus 로고    scopus 로고
    • Micromechanical prediction of the finite thermoelastic response of rubberlike matrix composites
    • Aboudi J. Micromechanical prediction of the finite thermoelastic response of rubberlike matrix composites. ZAMP. 52:2001;823-846.
    • (2001) ZAMP , vol.52 , pp. 823-846
    • Aboudi, J.1
  • 2
    • 0037198032 scopus 로고    scopus 로고
    • Micromechanical analysis of the fully coupled thermoelastic response of rubber-like matrix composites
    • Aboudi J. Micromechanical analysis of the fully coupled thermoelastic response of rubber-like matrix composites. Int. J. Solids Struct. 39:2002;2587-2612.
    • (2002) Int. J. Solids Struct. , vol.39 , pp. 2587-2612
    • Aboudi, J.1
  • 3
    • 0041097550 scopus 로고
    • A three dimensional constitutive model for the large deformation stretch behavior of rubber elastic materials
    • Arruda E.M., Boyce M.C. A three dimensional constitutive model for the large deformation stretch behavior of rubber elastic materials. J. Mech. Phys. Solids. 41:1993;389-412.
    • (1993) J. Mech. Phys. Solids , vol.41 , pp. 389-412
    • Arruda, E.M.1    Boyce, M.C.2
  • 5
    • 0002555514 scopus 로고    scopus 로고
    • Introduction to nonlinear elasticity
    • M.M. Carroll, & M.A. Hayes. New York: Plenum Press
    • Beatty M.F. Introduction to nonlinear elasticity. Carroll M.M., Hayes M.A. Nonlinear Effects in Fluids and Solids. 1996;16-112 Plenum Press, New York.
    • (1996) Nonlinear Effects in Fluids and Solids , pp. 16-112
    • Beatty, M.F.1
  • 6
    • 0035452973 scopus 로고    scopus 로고
    • Inhomogeneous shearing deformation of a rubber-like slab within the context of finite thermoelasticity with entropic origin for the stress
    • Bilgili E., Bernstein B., Arastoopour H. Inhomogeneous shearing deformation of a rubber-like slab within the context of finite thermoelasticity with entropic origin for the stress. Int. J. Nonlinear Mech. 36:2001;887-900.
    • (2001) Int. J. Nonlinear Mech. , vol.36 , pp. 887-900
    • Bilgili, E.1    Bernstein, B.2    Arastoopour, H.3
  • 7
    • 0000353991 scopus 로고    scopus 로고
    • A new constitutive model for the compressibility of elastomers at finite deformations
    • Bischoff E.J., Arruda E.M., Grosh K. A new constitutive model for the compressibility of elastomers at finite deformations. Rubber Chem. Technol. 74:2001;541-559.
    • (2001) Rubber Chem. Technol. , vol.74 , pp. 541-559
    • Bischoff, E.J.1    Arruda, E.M.2    Grosh, K.3
  • 9
    • 0000989036 scopus 로고    scopus 로고
    • Direct comparison of the Gent and Arruda-Boyce constitutive models
    • Boyce M.C. Direct comparison of the Gent and Arruda-Boyce constitutive models. Rubber Chem. Technol. 69:1996;781-785.
    • (1996) Rubber Chem. Technol. , vol.69 , pp. 781-785
    • Boyce, M.C.1
  • 10
    • 0034216714 scopus 로고    scopus 로고
    • Constitutive models of rubber elasticity: A review
    • Boyce M.C., Arruda E.M. Constitutive models of rubber elasticity. a review Rubber Chem. Technol. 73:2000;504-523.
    • (2000) Rubber Chem. Technol. , vol.73 , pp. 504-523
    • Boyce, M.C.1    Arruda, E.M.2
  • 12
    • 0001093562 scopus 로고
    • Thermo-mechanics of rubber-like materials
    • Chadwick P. Thermo-mechanics of rubber-like materials. Philos. Trans. R. Soc. London. 276:1974;371-403.
    • (1974) Philos. Trans. R. Soc. London , vol.276 , pp. 371-403
    • Chadwick, P.1
  • 13
    • 0021575622 scopus 로고
    • Modified entropic elasticity of rubber-like materials
    • Chadwick P., Creasy C.F.M. Modified entropic elasticity of rubber-like materials. J. Mech. Phys. Solids. 32:1984;337-357.
    • (1984) J. Mech. Phys. Solids , vol.32 , pp. 337-357
    • Chadwick, P.1    Creasy, C.F.M.2
  • 14
    • 0000186368 scopus 로고
    • A Padé approximant to the inverse Langevin function
    • Cohen A. A Padé approximant to the inverse Langevin function. Rheol. Acta. 30:1991;270-273.
    • (1991) Rheol. Acta , vol.30 , pp. 270-273
    • Cohen, A.1
  • 15
    • 34250963757 scopus 로고
    • The thermodynamics of elastic materials with heat conduction and viscosity
    • Coleman B.D., Noll W. The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Ration. Mech. Anal. 13:1963;245-261.
    • (1963) Arch. Ration. Mech. Anal. , vol.13 , pp. 245-261
    • Coleman, B.D.1    Noll, W.2
  • 17
    • 0022695451 scopus 로고
    • The effect of entanglements in rubber elasticity
    • Edwards S.F., Vilgis Th. The effect of entanglements in rubber elasticity. Polymer. 27:1986;483-492.
    • (1986) Polymer , vol.27 , pp. 483-492
    • Edwards, S.F.1    Vilgis, Th.2
  • 18
    • 0012660377 scopus 로고
    • Thermoelastic effects in incompressible elastic solids
    • Erbe H.H. Thermoelastic effects in incompressible elastic solids. Mech. Res. Commun. 1:1974;137-142.
    • (1974) Mech. Res. Commun. , vol.1 , pp. 137-142
    • Erbe, H.H.1
  • 21
    • 0002163820 scopus 로고    scopus 로고
    • A new constitutive relation for rubber
    • Gent A.N. A new constitutive relation for rubber. Rubber Chem. Technol. 69:1996;59-61.
    • (1996) Rubber Chem. Technol. , vol.69 , pp. 59-61
    • Gent, A.N.1
  • 22
    • 0001581706 scopus 로고    scopus 로고
    • Elastic instabilities of inflated rubber shells
    • Gent A.N. Elastic instabilities of inflated rubber shells. Rubber Chem. Technol. 72:1999;263-268.
    • (1999) Rubber Chem. Technol. , vol.72 , pp. 263-268
    • Gent, A.N.1
  • 25
    • 0033300404 scopus 로고    scopus 로고
    • Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility
    • Horgan C.O., Saccomandi G. Simple torsion of isotropic, hyperelastic, incompressible materials with limiting chain extensibility. J. Elasticity. 56:1999;159-170.
    • (1999) J. Elasticity , vol.56 , pp. 159-170
    • Horgan, C.O.1    Saccomandi, G.2
  • 26
    • 0033283327 scopus 로고    scopus 로고
    • Pure axial shear of isotropic incompressible nonlinearly elastic materials with limiting chain extensibility
    • Horgan C.O., Saccomandi G. Pure axial shear of isotropic incompressible nonlinearly elastic materials with limiting chain extensibility. J. Elasticity. 57:1999;307-319.
    • (1999) J. Elasticity , vol.57 , pp. 307-319
    • Horgan, C.O.1    Saccomandi, G.2
  • 27
    • 0035343082 scopus 로고    scopus 로고
    • Pure azimuthal shear of isotropic incompressible hyperelastic materials with limiting chain extensibility
    • Horgan C.O., Saccomandi G. Pure azimuthal shear of isotropic incompressible hyperelastic materials with limiting chain extensibility. Int. J. Nonlinear Mech. 36:2001;465-475.
    • (2001) Int. J. Nonlinear Mech. , vol.36 , pp. 465-475
    • Horgan, C.O.1    Saccomandi, G.2
  • 28
    • 0000490740 scopus 로고    scopus 로고
    • Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible, hyperelastic materials
    • Horgan C.O., Saccomandi G. Large deformations of a rotating solid cylinder for non-Gaussian isotropic, incompressible, hyperelastic materials. J. Appl. Mech. 68:2001;115-117.
    • (2001) J. Appl. Mech. , vol.68 , pp. 115-117
    • Horgan, C.O.1    Saccomandi, G.2
  • 29
    • 10844278710 scopus 로고    scopus 로고
    • Antiplane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials
    • Horgan C.O., Saccomandi G. Antiplane shear deformations for non-Gaussian isotropic, incompressible hyperelastic materials. Proc. R. Soc. London Ser. A. 457:2001;1999-2017.
    • (2001) Proc. R. Soc. London Ser. A , vol.457 , pp. 1999-2017
    • Horgan, C.O.1    Saccomandi, G.2
  • 30
    • 0036695696 scopus 로고    scopus 로고
    • Constitutive modeling of rubber-like and biological materials with limiting chain extensibility
    • Horgan C.O., Saccomandi G. Constitutive modeling of rubber-like and biological materials with limiting chain extensibility. Math. Mech. Solids. 7:2002;353-371.
    • (2002) Math. Mech. Solids , vol.7 , pp. 353-371
    • Horgan, C.O.1    Saccomandi, G.2
  • 31
    • 0031342056 scopus 로고    scopus 로고
    • Finite thermoelasticity of constrained elastomers subject to biaxial loading
    • Humphrey J.D., Rajagopal K.R. Finite thermoelasticity of constrained elastomers subject to biaxial loading. J. Elasticity. 49:1998;189-200.
    • (1998) J. Elasticity , vol.49 , pp. 189-200
    • Humphrey, J.D.1    Rajagopal, K.R.2
  • 32
    • 0019532784 scopus 로고
    • Equation of state of real networks
    • Kilian H.G. Equation of state of real networks. Polymer. 22:1981;483-492.
    • (1981) Polymer , vol.22 , pp. 483-492
    • Kilian, H.G.1
  • 33
    • 0017542772 scopus 로고
    • The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids
    • Knowles J.K. The finite anti-plane shear field near the tip of a crack for a class of incompressible elastic solids. Int. J. Fracture. 13:1977;611-639.
    • (1977) Int. J. Fracture , vol.13 , pp. 611-639
    • Knowles, J.K.1
  • 34
    • 0012696988 scopus 로고
    • The behavior of elastic heat conductors with second order response functions
    • Martin S.E., Carlson D.E. The behavior of elastic heat conductors with second order response functions. ZAMP. 28:1977;311-329.
    • (1977) ZAMP , vol.28 , pp. 311-329
    • Martin, S.E.1    Carlson, D.E.2
  • 37
    • 0001487729 scopus 로고
    • Finite deformation of an elastic solid
    • Murnaghan F.D. Finite deformation of an elastic solid. Amer. J. Math. 59:1937;235-260.
    • (1937) Amer. J. Math. , vol.59 , pp. 235-260
    • Murnaghan, F.D.1
  • 38
    • 0001737633 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 Proc. R. Soc. London Ser. A. 328:1972;567-584.
    • (1972) Proc. R. Soc. London Ser. A , vol.328 , pp. 567-584
    • Ogden, R.W.1
  • 40
    • 0026931394 scopus 로고
    • On the thermoelastic modeling of rubberlike solids
    • Ogden R.W. On the thermoelastic modeling of rubberlike solids. J. Thermal Stresses. 15:1992;533-557.
    • (1992) J. Thermal Stresses , vol.15 , pp. 533-557
    • Ogden, R.W.1
  • 42
    • 0001385295 scopus 로고
    • Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes
    • Polignone D.A., Horgan C.O. Axisymmetric finite anti-plane shear of compressible nonlinearly elastic circular tubes. Q. Appl. Math. 50:1992;323-341.
    • (1992) Q. Appl. Math. , vol.50 , pp. 323-341
    • Polignone, D.A.1    Horgan, C.O.2
  • 43
    • 0002074447 scopus 로고    scopus 로고
    • Some remarks on the Gent model of rubber elasticity
    • E.M. Croitoro. Victoria, Canada: University of Victoria Press
    • Pucci E., Saccomandi G. Some remarks on the Gent model of rubber elasticity. Croitoro E.M. CanCNSM Proceedings. 1999;163-172 University of Victoria Press, Victoria, Canada.
    • (1999) CanCNSM Proceedings , pp. 163-172
    • Pucci, E.1    Saccomandi, G.2
  • 44
    • 0003211022 scopus 로고    scopus 로고
    • A note on the Gent model for rubber-like materials
    • Pucci E., Saccomandi G. A note on the Gent model for rubber-like materials. Rubber Chem. Technol. 75:2002;839-852.
    • (2002) Rubber Chem. Technol. , vol.75 , pp. 839-852
    • Pucci, E.1    Saccomandi, G.2
  • 45
    • 0028732776 scopus 로고
    • Boundary layers in finite thermoelasticity
    • Rajagopal K.R. Boundary layers in finite thermoelasticity. J. Elasticity. 36:1995;271-301.
    • (1995) J. Elasticity , vol.36 , pp. 271-301
    • Rajagopal, K.R.1
  • 46
    • 0002938481 scopus 로고    scopus 로고
    • Boundary layer-like structures in finite thermoelasticity
    • M.M. Carroll, & M.A. Hayes. New York: Plenum Press
    • Rajagopal K.R. Boundary layer-like structures in finite thermoelasticity. Carroll M.M., Hayes M.A. Nonlinear Effects in Fluids and Solids. 1996;287-295 Plenum Press, New York.
    • (1996) Nonlinear Effects in Fluids and Solids , pp. 287-295
    • Rajagopal, K.R.1
  • 48
    • 0033349227 scopus 로고    scopus 로고
    • On inhomogeneous deformations in finite thermoelasticity
    • Saccomandi G. On inhomogeneous deformations in finite thermoelasticity. IMA J. Appl. Math. 63:1999;131-148.
    • (1999) IMA J. Appl. Math. , vol.63 , pp. 131-148
    • Saccomandi, G.1
  • 49
    • 0012656416 scopus 로고
    • Trasformazioni termoelastiche finite
    • Signorini A. Trasformazioni termoelastiche finite. Ann. Mat. Pura Appl. 39:1955;147-201.
    • (1955) Ann. Mat. Pura Appl. , vol.39 , pp. 147-201
    • Signorini, A.1
  • 50
    • 0021515714 scopus 로고
    • Remarks on rate constitutive equations for finite deformation problems: Computational implications
    • Simo J.C., Pister K.S. Remarks on rate constitutive equations for finite deformation problems. computational implications Computer Meth. Appl. Mech. Eng. 46:1984;201-215.
    • (1984) Computer Meth. Appl. Mech. Eng. , vol.46 , pp. 201-215
    • Simo, J.C.1    Pister, K.S.2
  • 51
    • 0012694245 scopus 로고
    • Small finite deformations of elastic dielectrics
    • Singh M. Small finite deformations of elastic dielectrics. Q. Appl. Math. 25:1967;275-284.
    • (1967) Q. Appl. Math. , vol.25 , pp. 275-284
    • Singh, M.1
  • 52
    • 0001485128 scopus 로고
    • Reinforced materials with thermo-mechanical constraints
    • Trapp J.A. Reinforced materials with thermo-mechanical constraints. Int. J. Eng. Sci. 9:1971;757-773.
    • (1971) Int. J. Eng. Sci. , vol.9 , pp. 757-773
    • Trapp, J.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.