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Volumn 24, Issue 2, 2001, Pages 121-140

Coupled thermomechanical waves in hyperbolic thermoelasticity

Author keywords

Coupled thermomechanical fields; Hyperbolic thermoelasticity; Thermal relaxation time

Indexed keywords


EID: 0035632289     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/01495730150500433     Document Type: Article
Times cited : (32)

References (32)
  • 2
    • 84973509052 scopus 로고
    • Thermoelasticity with Second Sound: A Review
    • D. S. Chandrasekharaiah, Thermoelasticity with Second Sound: a Review, Appl. Mech. Rev., vol. 39, pp. 355-376, 1986.
    • (1986) Appl. Mech. Rev. , vol.39 , pp. 355-376
    • Chandrasekharaiah, D.S.1
  • 3
    • 0001558282 scopus 로고
    • Implications of a Nonlinearity in the Theory of Second Sound in Solids
    • B. D. Coleman and D. C. Newman, Implications of a Nonlinearity in the Theory of Second Sound in Solids, Phys. Rev. B, vol. 37, pp. 1492-1498, 1988.
    • (1988) Phys. Rev. B , vol.37 , pp. 1492-1498
    • Coleman, B.D.1    Newman, D.C.2
  • 4
    • 0000938081 scopus 로고
    • Shock Waves and Second Sound in a Rigid Heat Conductor: A Critical Temperature for NaF and Bi
    • T. Ruggeri, A. Muracchini, and L. Seccia, Shock Waves and Second Sound in a Rigid Heat Conductor: a Critical Temperature for NaF and Bi, Phys. Rev. Lett., vol. 64, pp. 2640-2643, 1990.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 2640-2643
    • Ruggeri, T.1    Muracchini, A.2    Seccia, L.3
  • 5
    • 0001194946 scopus 로고    scopus 로고
    • Hyperbolic Thermoelasticity: A Review of Recent Literature
    • D. S. Chandrasekharaiah, Hyperbolic Thermoelasticity: a Review of Recent Literature, Appl. Mech. Rev., vol. 51, pp. 705-729, 1998.
    • (1998) Appl. Mech. Rev. , vol.51 , pp. 705-729
    • Chandrasekharaiah, D.S.1
  • 6
    • 0000508795 scopus 로고    scopus 로고
    • Soliton-like Waves in a Low-temperature Nonlinear Thermoelastic Solid
    • R. B. Hetnarski and J. Ignaczak, Soliton-like Waves in a Low-temperature Nonlinear Thermoelastic Solid, Int. J. Engng. Sci., vol. 34, pp. 1767-1787, 1996.
    • (1996) Int. J. Engng. Sci. , vol.34 , pp. 1767-1787
    • Hetnarski, R.B.1    Ignaczak, J.2
  • 7
    • 0345058807 scopus 로고    scopus 로고
    • On Soliton-like Thermoelastic Waves
    • R. B. Hetnarski and J. Ignaczak, On Soliton-like Thermoelastic Waves, Appl. Anal., vol. 65, pp. 183-204, 1997.
    • (1997) Appl. Anal. , vol.65 , pp. 183-204
    • Hetnarski, R.B.1    Ignaczak, J.2
  • 8
    • 1942497077 scopus 로고    scopus 로고
    • Steklov's Operator Technique in Coupled Dynamic Thermoelasticity
    • R. W. Lewis and J. T. Cross (Eds.)
    • R. V. N. Melnik, Steklov's Operator Technique in Coupled Dynamic Thermoelasticity, in R. W. Lewis and J. T. Cross (Eds.), Numerical Methods in Thermal Problems, Vol. X, pp. 139-150, 1997.
    • (1997) Numerical Methods in Thermal Problems , vol.10 , pp. 139-150
    • Melnik, R.V.N.1
  • 9
    • 0033327924 scopus 로고    scopus 로고
    • On Second Sound at the Critical Temperature
    • K. Saxton, R. Saxton, and W. Kosinski, On Second Sound at the Critical Temperature, Quart. Appl. Math., vol. LVII, pp. 723-740, 1999.
    • (1999) Quart. Appl. Math. , vol.57 , pp. 723-740
    • Saxton, K.1    Saxton, R.2    Kosinski, W.3
  • 10
    • 0033447763 scopus 로고
    • Initial and Boundary Value Problems of Hyperbolic Heat Conduction
    • W. Dreyer and M. Kunik, Initial and Boundary Value Problems of Hyperbolic Heat Conduction, Continuum Mech. Thermodyn., vol. 4, pp. 227-245, 1990.
    • (1990) Continuum Mech. Thermodyn. , vol.4 , pp. 227-245
    • Dreyer, W.1    Kunik, M.2
  • 11
    • 0025251399 scopus 로고
    • Soliton-like Solutions in a Nonlinear Dynamic Coupled Thermoelasticity
    • J. Ignaczak, Soliton-like Solutions in a Nonlinear Dynamic Coupled Thermoelasticity, J. Thermal Stresses, vol. 13, pp. 73-98, 1990.
    • (1990) J. Thermal Stresses , vol.13 , pp. 73-98
    • Ignaczak, J.1
  • 12
    • 21144472272 scopus 로고
    • On the Constitutive Relations for Second Sound in Elastic Solids
    • T. S. Öncu and T. B. Moodie, On the Constitutive Relations for Second Sound in Elastic Solids, Arch. Rat. Mech. Anal., vol. 121, pp. 87-99, 1992.
    • (1992) Arch. Rat. Mech. Anal. , vol.121 , pp. 87-99
    • Öncu, T.S.1    Moodie, T.B.2
  • 13
    • 0032157256 scopus 로고    scopus 로고
    • Effects of Thermomechanical Coupling and Relaxation Times on Wave Spectrum in Dynamic Theory of Generalized Thermoelasticity
    • C. S. Suh and C. P. Burger, Effects of Thermomechanical Coupling and Relaxation Times on Wave Spectrum in Dynamic Theory of Generalized Thermoelasticity, J. Appl. Mech., vol. 65, pp. 605-613, 1998.
    • (1998) J. Appl. Mech. , vol.65 , pp. 605-613
    • Suh, C.S.1    Burger, C.P.2
  • 14
    • 0028461319 scopus 로고
    • Harmonic Wave Generation in Nonlinear Thermoelasticity
    • A. N. Abd-alla, A. F. Ghaleb, and G. A. Maugin, Harmonic Wave Generation in Nonlinear Thermoelasticity, Int J. Engrg. Sci., vol. 32, pp. 1103-1116, 1994.
    • (1994) Int J. Engrg. Sci. , vol.32 , pp. 1103-1116
    • Abd-alla, A.N.1    Ghaleb, A.F.2    Maugin, G.A.3
  • 15
    • 0032203277 scopus 로고    scopus 로고
    • Numerical Solution of a Nonlinear, One-dimensional Problem of Thermoelasticity
    • E. K. Rawy, L. Iskandar, and A. F. Ghaleb, Numerical Solution of a Nonlinear, One-dimensional Problem of Thermoelasticity, J. Comput. Appl. Math., vol. 100, pp. 53-76, 1998.
    • (1998) J. Comput. Appl. Math. , vol.100 , pp. 53-76
    • Rawy, E.K.1    Iskandar, L.2    Ghaleb, A.F.3
  • 16
    • 33750483511 scopus 로고
    • Development of Singularities of Solutions of Nonlinear Differential Equations
    • P. D. Lax, Development of Singularities of Solutions of Nonlinear Differential Equations, J. Math. Phys., vol. 5, pp. 611-613, 1964.
    • (1964) J. Math. Phys. , vol.5 , pp. 611-613
    • Lax, P.D.1
  • 17
    • 0001057113 scopus 로고
    • Existence and Non-existence in the Large of Solutions of Quasilinear Wave Equations
    • R. C. MacCamy and V. J. Mizel, Existence and Non-existence in the Large of Solutions of Quasilinear Wave Equations, Arch. Rat. Mech. Anal., vol. 25, pp. 299-320, 1967.
    • (1967) Arch. Rat. Mech. Anal. , vol.25 , pp. 299-320
    • MacCamy, R.C.1    Mizel, V.J.2
  • 18
    • 0019664632 scopus 로고
    • Global Existence, Uniqueness, and Asymptotic Stability of Classical Smooth Solutions in One-dimensional Non-linear Thermoelasticity
    • M. Slemrod, Global Existence, Uniqueness, and Asymptotic Stability of Classical Smooth Solutions in One-dimensional Non-linear Thermoelasticity, Arch. Rat. Mech. Anal., vol. 76, pp. 97-133, 1981.
    • (1981) Arch. Rat. Mech. Anal. , vol.76 , pp. 97-133
    • Slemrod, M.1
  • 19
    • 49949149766 scopus 로고
    • A Generalized Dynamic Theory of Thermoelasticity
    • H. W. Lord and Y. Schulman, A Generalized Dynamic Theory of Thermoelasticity, J. Mech. Phys. Solids, vol. 15, pp. 299-309, 1967.
    • (1967) J. Mech. Phys. Solids , vol.15 , pp. 299-309
    • Lord, H.W.1    Schulman, Y.2
  • 21
    • 0004742626 scopus 로고
    • Existence and Uniqueness of the Solution of the First Boundary-Initial Value Problem for Linear Hyperbolic Thermoelasticity Equations
    • L. Kowalski, Existence and Uniqueness of the Solution of the First Boundary-Initial Value Problem for Linear Hyperbolic Thermoelasticity Equations, Ann. Soc. Math. Polon. Ser. I: Comment. Math., vol. 33, pp. 73-79, 1993.
    • (1993) Ann. Soc. Math. Polon. Ser. I: Comment. Math. , vol.33 , pp. 73-79
    • Kowalski, L.1
  • 22
    • 25044471437 scopus 로고    scopus 로고
    • Initial-Boundary Value Problems in Linear and Nonlinear Hyperbolic Thermoelasticity Theory
    • J. Gawinecki, Initial-Boundary Value Problems in Linear and Nonlinear Hyperbolic Thermoelasticity Theory, Z. Angew. Math. Mech., vol. 78, pp. S911-S912, 1998.
    • (1998) Z. Angew. Math. Mech. , vol.78
    • Gawinecki, J.1
  • 23
    • 0020944208 scopus 로고
    • Finite Element Analysis of Dynamic Coupled Thermoelasticity Problems with Relaxation Times
    • J. H. Prevost and D. Tao, Finite Element Analysis of Dynamic Coupled Thermoelasticity Problems with Relaxation Times, J. Appl. Mech., vol. 50, pp. 817-822, 1983.
    • (1983) J. Appl. Mech. , vol.50 , pp. 817-822
    • Prevost, J.H.1    Tao, D.2
  • 24
    • 0027983348 scopus 로고
    • Non-Fourier Dynamic Thermoelasticity with Temperature-Dependent Thermal Properties
    • D. E. Glass and K. K. Tamma, Non-Fourier Dynamic Thermoelasticity with Temperature-Dependent Thermal Properties, J. Thermophys. Heat Transfer, vol. 8, pp. 145-151, 1991.
    • (1991) J. Thermophys. Heat Transfer , vol.8 , pp. 145-151
    • Glass, D.E.1    Tamma, K.K.2
  • 28
    • 0000323998 scopus 로고    scopus 로고
    • A Continuum Rod Model of Sequence-Dependent DNA Structure
    • R. S. Manning, J. H. Maddocks, and J. D. Kahn, A Continuum Rod Model of Sequence-Dependent DNA Structure, J. Chem. Phys., vol. 105, pp. 5626-5635, 1996.
    • (1996) J. Chem. Phys. , vol.105 , pp. 5626-5635
    • Manning, R.S.1    Maddocks, J.H.2    Kahn, J.D.3
  • 31
    • 51249174416 scopus 로고
    • On the Cauchy Problem in Nonlinear 3D-Thermoelasticity
    • R. Racke, On the Cauchy Problem in Nonlinear 3D-Thermoelasticity, Math. Z., vol. 203, pp. 649-682, 1990.
    • (1990) Math. Z. , vol.203 , pp. 649-682
    • Racke, R.1
  • 32
    • 0025389338 scopus 로고
    • Blow-up in Non-linear Three-dimensional Thermoelasticity
    • R. Racke, Blow-up in Non-linear Three-dimensional Thermoelasticity, Math. Methods Appl. Sci., vol. 12, pp. 267-273, 1990.
    • (1990) Math. Methods Appl. Sci. , vol.12 , pp. 267-273
    • Racke, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.