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Volumn 27, Issue 12, 2004, Pages 1187-1212

Discontinuities in generalized thermo-viscoelasticity under four theories

Author keywords

Discontinuities; Generalized thermoelasticity; Kinematic conditions of compatibility; State space approach; Thermoviscoelasticity

Indexed keywords

HEAT CONDUCTION; KINEMATICS; LAPLACE TRANSFORMS; PROBLEM SOLVING; STATE SPACE METHODS; VISCOELASTICITY;

EID: 9944261982     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/014957390523598     Document Type: Article
Times cited : (39)

References (33)
  • 1
    • 36849124387 scopus 로고
    • Thermoelasticity and irreversible thermodynamics
    • M. Biot, Thermoelasticity and Irreversible Thermodynamics, J. Appl. Phys., vol. 27, pp. 240-253, 1956.
    • (1956) J. Appl. Phys. , vol.27 , pp. 240-253
    • Biot, M.1
  • 2
    • 49949149766 scopus 로고
    • A generalized dynamical theory of thermo-elasticity
    • H. Lord and Y. Shulman, A Generalized Dynamical Theory of Thermo-elasticity, J. Mech. Phys. Solid, vol. 15, pp. 299-309, 1967.
    • (1967) J. Mech. Phys. Solid , vol.15 , pp. 299-309
    • Lord, H.1    Shulman, Y.2
  • 4
    • 0004135196 scopus 로고
    • Addendum to the paper: Heat waves
    • D. D. Joseph and L. Preziosi, Addendum to the Paper: Heat Waves, Rev. Mod Phys., vol. 62, pp. 375-391, 1990.
    • (1990) Rev. Mod Phys. , vol.62 , pp. 375-391
    • Joseph, D.D.1    Preziosi, L.2
  • 5
    • 34250475262 scopus 로고
    • The coldness, a universal function in thermoelastic bodies
    • I. M. Müller, The Coldness, a Universal Function in Thermoelastic Bodies, Arch. Rat. Mech. Anal., vol. 41, pp. 319-332, 1971.
    • (1971) Arch. Rat. Mech. Anal. , vol.41 , pp. 319-332
    • Müller, I.M.1
  • 6
    • 0001875698 scopus 로고
    • On the entropy production inequality
    • A. E. Green and N. Laws, On the Entropy Production Inequality, Arch. Rat. Mech. Anal., vol. 45, pp. 47-53, 1972.
    • (1972) Arch. Rat. Mech. Anal. , vol.45 , pp. 47-53
    • Green, A.E.1    Laws, N.2
  • 8
    • 0003359224 scopus 로고
    • Thermoelastic solids
    • A. C. Eringen (ed.), chap. 2, Academic Press, New York
    • E. S. Suhubi, Thermoelastic Solids, in A. C. Eringen (ed.), Continuum Physics, vol. 2, part 2, chap. 2, Academic Press, New York, 1975.
    • (1975) Continuum Physics , vol.2 , Issue.PART 2
    • Suhubi, E.S.1
  • 9
    • 0001753108 scopus 로고
    • Generalized thermoelasticity and its applications
    • R. B. Hetnarski (ed.), Elsevier, New York
    • J. Ignaczak, Generalized Thermoelasticity and Its Applications, in R. B. Hetnarski (ed.), Thermal Stresses III, pp. 279-354, Elsevier, New York, 1989.
    • (1989) Thermal Stresses III , pp. 279-354
    • Ignaczak, J.1
  • 10
    • 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
  • 12
    • 0003177966 scopus 로고
    • Effect of rheological behavior on thermal stresses
    • A. M. Freudenthal, Effect of Rheological Behavior on Thermal Stresses, J. Appl. Phys. vol. 25, pp. 1110-1117, 1954.
    • (1954) J. Appl. Phys. , vol.25 , pp. 1110-1117
    • Freudenthal, A.M.1
  • 15
    • 0001115024 scopus 로고
    • On the linear theory of viscoelasticity
    • M. E. Gurtin and E. Sternberg, On the Linear Theory of Viscoelasticity, Arch. Rat. Mech. Anal., vol. 11, pp. 291-356, 1962.
    • (1962) Arch. Rat. Mech. Anal. , vol.11 , pp. 291-356
    • Gurtin, M.E.1    Sternberg, E.2
  • 20
    • 0035599883 scopus 로고    scopus 로고
    • State space formulation to generalized thermo-viscoelasticity with thermal relaxation
    • M. A. Ezzat, A. S. El- Karamany, and A. A. Samaan, State Space Formulation to Generalized Thermo-viscoelasticity with Thermal Relaxation, J. Thermal Stresses, vol. 24, pp. 823-846, 2001
    • (2001) J. Thermal Stresses , vol.24 , pp. 823-846
    • Ezzat, M.A.1    Karamany, A.S.2    Samaan, A.A.3
  • 21
    • 0036643277 scopus 로고    scopus 로고
    • State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times
    • Magdy A. Ezzat, M. I. Othman, and A. S. El-Karamany, State Space Approach to Two-Dimensional Generalized Thermo-viscoelasticity with Two Relaxation Times, Int. J. Eng. Sci., vol. 40, pp. 1251-1274, 2002.
    • (2002) Int. J. Eng. Sci. , vol.40 , pp. 1251-1274
    • Ezzat, M.A.1    Othman, M.I.2    El-Karamany, A.S.3
  • 22
    • 0009411946 scopus 로고
    • Solution of the coupled problem of thermoelasticity in the form of series of functions
    • R. B. Hetnarski, Solution of the Coupled Problem of Thermoelasticity in the Form of Series of Functions, Arch. Mech., vol. 16, pp. 919-941, 1964.
    • (1964) Arch. Mech. , vol.16 , pp. 919-941
    • Hetnarski, R.B.1
  • 24
    • 0344457939 scopus 로고
    • Discontinuities in integral-transform solutions
    • B. A. Boley, Discontinuities in Integral-Transform Solutions, Q. Appl. Math., vol. 19, pp. 273-284, 1962.
    • (1962) Q. Appl. Math. , vol.19 , pp. 273-284
    • Boley, B.A.1
  • 25
    • 85024540114 scopus 로고
    • Propagation of discontinuities in coupled thermoelastic problems
    • B. A. Boley and R. B. Hetnarski, Propagation of Discontinuities in Coupled Thermoelastic Problems, J. Appl. Mech., vol. 35, pp. 489-494, 1968.
    • (1968) J. Appl. Mech. , vol.35 , pp. 489-494
    • Boley, B.A.1    Hetnarski, R.B.2
  • 26
    • 0035611821 scopus 로고    scopus 로고
    • Thermal stresses in spherical shell under three thermoelastic models
    • P. M. Jordan and P. Puri, Thermal Stresses in Spherical Shell under Three Thermoelastic Models, J. Thermal Stresses, vol. 24, pp. 47-70, 2001.
    • (2001) J. Thermal Stresses , vol.24 , pp. 47-70
    • Jordan, P.M.1    Puri, P.2
  • 27
    • 0018335024 scopus 로고
    • State space approach to thermoelasticity
    • L. Bahar and R. Hetnarski, State Space Approach to Thermoelasticity, J. Thermal Stresses, vol. 1, pp. 135-145, 1978.
    • (1978) J. Thermal Stresses , vol.1 , pp. 135-145
    • Bahar, L.1    Hetnarski, R.2
  • 28
    • 0021375050 scopus 로고
    • A method for the numerical inversion of the laplace transforms
    • G. Honig and U. Hirdes, A Method for the Numerical Inversion of the Laplace Transforms, J. Comp. Appl. Math., vol. 10, pp. 113-132, 1984.
    • (1984) J. Comp. Appl. Math. , vol.10 , pp. 113-132
    • Honig, G.1    Hirdes, U.2
  • 29
    • 0029169286 scopus 로고
    • A unified approach for heat conduction from macro to micro-scales
    • D. Y. Tzou, A Unified Approach for Heat Conduction from Macro to Micro-scales, J. Heat Transf., vol. 117, pp. 8-16, 1995.
    • (1995) J. Heat Transf. , vol.117 , pp. 8-16
    • Tzou, D.Y.1
  • 32
    • 0343616078 scopus 로고
    • An algorithm for generating some inverse laplace transforms of exponential form
    • R. B. Hetnarski, An Algorithm for Generating Some Inverse Laplace Transforms of Exponential Form, J. Appl. Math. Phys., vol. 26, pp. 249-253, 1975.
    • (1975) J. Appl. Math. Phys. , vol.26 , pp. 249-253
    • Hetnarski, R.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.