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Volumn 30, Issue 3, 2007, Pages 239-268

Nonlinear uniaxial thermoelastic waves with second sound by finite difference-flux corrected transport method

Author keywords

Finite Difference Flux Corrected Transport method; Jump relations; Lax Wendroff method; Multiple wavefronts; Nonlinear waves; Thermoelastic waves

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL METHODS; FINITE DIFFERENCE METHOD; NONLINEAR SYSTEMS; WAVE PROPAGATION; WAVEFRONTS;

EID: 33847398419     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495730601130935     Document Type: Article
Times cited : (2)

References (30)
  • 2
    • 33847366093 scopus 로고    scopus 로고
    • E. Suhir, Thermal Stress in Microelectronics and Fiber Optics, in Proceedings of the First International Symposium on Thermal Stresses and Related Topics, Thermal Stresses '95, Shizuoka University, Japan, pp. 429-432, 1995.
    • E. Suhir, Thermal Stress in Microelectronics and Fiber Optics, in Proceedings of the First International Symposium on Thermal Stresses and Related Topics, Thermal Stresses '95, Shizuoka University, Japan, pp. 429-432, 1995.
  • 3
    • 0036571892 scopus 로고    scopus 로고
    • Thermoelastic Wave in Metal Induced by Ultrafast Laser Pulses
    • X. Wang and X. Xu, Thermoelastic Wave in Metal Induced by Ultrafast Laser Pulses, J. Thermal Stresses, vol. 25, pp. 457-473, 2002.
    • (2002) J. Thermal Stresses , vol.25 , pp. 457-473
    • Wang, X.1    Xu, X.2
  • 4
    • 0040521379 scopus 로고
    • On Some Thermo-Dynamic Properties of Solids
    • J. P. Joule, On Some Thermo-Dynamic Properties of Solids, Phil. Trans. Roy. Soc. Lond., vol. 149, pp. 91-131, 1859.
    • (1859) Phil. Trans. Roy. Soc. Lond , vol.149 , pp. 91-131
    • Joule, J.P.1
  • 5
    • 0009135650 scopus 로고
    • Thermal Stresses in an Elastic Half-Space Due to a Sudden Heating of Its Boundary
    • V. I. Danilovskaya, Thermal Stresses in an Elastic Half-Space Due to a Sudden Heating of Its Boundary, Prikl. Mat. Mekh., vol. 14, pp. 316-318, 1950.
    • (1950) Prikl. Mat. Mekh , vol.14 , pp. 316-318
    • Danilovskaya, V.I.1
  • 6
    • 84885838413 scopus 로고
    • The Propagation of Thermal Stresses in Thin Metallic Rods
    • I. N. Sneddon, The Propagation of Thermal Stresses in Thin Metallic Rods, Proc. Royal Soc. Edinburgh, Series A, vol. 35, pp. 121-143, 1958.
    • (1958) Proc. Royal Soc. Edinburgh, Series A , vol.35 , pp. 121-143
    • Sneddon, I.N.1
  • 7
    • 0002819995 scopus 로고
    • Variational Principles for Linear Coupled Thermoelasticity
    • R. E. Nickell and J. L. Sackman, Variational Principles for Linear Coupled Thermoelasticity, Quart. Appl. Math., vol. 26, pp. 11-26, 1968.
    • (1968) Quart. Appl. Math , vol.26 , pp. 11-26
    • Nickell, R.E.1    Sackman, J.L.2
  • 8
    • 85147688975 scopus 로고
    • On the Solution to Transient Coupled Thermoelastic Problems by Pertubation Techniques
    • A. I. Soler and M. A. Brull, On the Solution to Transient Coupled Thermoelastic Problems by Pertubation Techniques, J. Appl. Mech., vol. 23, pp. 389-399, 1965.
    • (1965) J. Appl. Mech , vol.23 , pp. 389-399
    • Soler, A.I.1    Brull, M.A.2
  • 9
    • 0009839341 scopus 로고    scopus 로고
    • Thermoelastic Wave Propagation in Inhomogeneous Media
    • A. Berezovski, J. Engelbrecht, and G. A. Maugin, Thermoelastic Wave Propagation in Inhomogeneous Media, Arch. Appl. Mech., vol. 70, pp. 694-706, 2000.
    • (2000) Arch. Appl. Mech , vol.70 , pp. 694-706
    • Berezovski, A.1    Engelbrecht, J.2    Maugin, G.A.3
  • 10
    • 4043145004 scopus 로고    scopus 로고
    • Generalized Coupled Thermoelasticity of Disks Based On the Lord-Shulman Model
    • A. Bagri and M. R. Eslami, Generalized Coupled Thermoelasticity of Disks Based On the Lord-Shulman Model, J. Thermal Stresses, vol. 27, pp. 691-704, 2005.
    • (2005) J. Thermal Stresses , vol.27 , pp. 691-704
    • Bagri, A.1    Eslami, M.R.2
  • 11
    • 27744595908 scopus 로고    scopus 로고
    • Laser-Generated Thermoelastic Waves in an Anisotropic Infinite Plate: FEM Analysis
    • M. Hussain, S. Al-Qahtani, K. Datta, and M. M. Osama, Laser-Generated Thermoelastic Waves in an Anisotropic Infinite Plate: FEM Analysis, J. Thermal Stresses, vol. 28, pp. 1099-1122, 2005.
    • (2005) J. Thermal Stresses , vol.28 , pp. 1099-1122
    • Hussain, M.1    Al-Qahtani, S.2    Datta, K.3    Osama, M.M.4
  • 13
    • 0000077801 scopus 로고
    • Thermoelasticity with Second Sound: A Review
    • D. S. Chandrasekharaiah, Thermoelasticity with Second Sound: A Review, Appl. Mech. Rev., vol. 39, pp. 335-376, 1986.
    • (1986) Appl. Mech. Rev , vol.39 , pp. 335-376
    • Chandrasekharaiah, D.S.1
  • 14
    • 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, no. 1, pp. 705-729, 1998.
    • (1998) Appl. Mech. Rev , vol.51 , Issue.1 , pp. 705-729
    • Chandrasekharaiah, D.S.1
  • 16
    • 0014496183 scopus 로고    scopus 로고
    • C. C. Ackerman and W. C. Overton, Jr., Second Sound in Solid Helium-3, Phys. Rev. Lett., 22, pp. 764-766, 1969.
    • C. C. Ackerman and W. C. Overton, Jr., Second Sound in Solid Helium-3, Phys. Rev. Lett., vol. 22, pp. 764-766, 1969.
  • 17
    • 0002393523 scopus 로고
    • Second Sound in NaF
    • H. Jackson and C. Walker, Second Sound in NaF, Phys. Rev. Lett., vol. 25, pp. 26-28, 1970.
    • (1970) Phys. Rev. Lett , vol.25 , pp. 26-28
    • Jackson, H.1    Walker, C.2
  • 18
    • 4043157762 scopus 로고    scopus 로고
    • Nonlinear Uniaxial Thermoelastic Waves by the Method of Characteristics
    • D. V. D. Tran and M. C. Singh, Nonlinear Uniaxial Thermoelastic Waves by the Method of Characteristics, J. Thermal Stresses, vol. 27, pp. 741-777, 2004.
    • (2004) J. Thermal Stresses , vol.27 , pp. 741-777
    • Tran, D.V.D.1    Singh, M.C.2
  • 19
    • 0028272763 scopus 로고
    • Propagation of Waves in Nonlinear Uniaxial Coupled Thermoelastic Solids
    • M. C. Singh and D. V. D. Tran, Propagation of Waves in Nonlinear Uniaxial Coupled Thermoelastic Solids, J. Thermal Stresses, vol. 17, pp. 21-44, 1994.
    • (1994) J. Thermal Stresses , vol.17 , pp. 21-44
    • Singh, M.C.1    Tran, D.V.D.2
  • 21
    • 33749583060 scopus 로고
    • Flux-corrected Transport I, Shasta, a Fluid Transport Algorithm That Works
    • J. P. Boris and D. L. Book, Flux-corrected Transport I, Shasta, a Fluid Transport Algorithm That Works, J. Comput. Physics, vol. 11, pp. 38-69, 1973.
    • (1973) J. Comput. Physics , vol.11 , pp. 38-69
    • Boris, J.P.1    Book, D.L.2
  • 22
    • 0043213424 scopus 로고
    • Flux-Corrected Transport II, Generalization of the Method
    • D. L. Book, J. P. Boris, and K. Hain, Flux-Corrected Transport II, Generalization of the Method, J. Comput. Phys., vol. 18, pp. 248-283, 1975.
    • (1975) J. Comput. Phys , vol.18 , pp. 248-283
    • Book, D.L.1    Boris, J.P.2    Hain, K.3
  • 24
    • 3142771305 scopus 로고    scopus 로고
    • Method with Implicit Functions for the Study of Shock Wave Propagation in Solids
    • S. Xiao, An FE-FCT Method with Implicit Functions for the Study of Shock Wave Propagation in Solids, Wave Motion, vol. 40, pp. 263-276, 2004.
    • (2004) Wave Motion , vol.40 , pp. 263-276
    • Xiao, S.1
  • 26
    • 0026728227 scopus 로고
    • Simple and Shock Waves in Uniaxial Nonlinear Elastic Solids
    • M. C. Singh and D. V. D. Tran, Simple and Shock Waves in Uniaxial Nonlinear Elastic Solids, J. Acoust. Soc. Amer., vol. 92, no. 2, pp. 877-887, 1992.
    • (1992) J. Acoust. Soc. Amer , vol.92 , Issue.2 , pp. 877-887
    • Singh, M.C.1    Tran, D.V.D.2
  • 27
    • 0019149553 scopus 로고
    • Some Results on the One-Dimensional Coupled Nonlinear Thermoviscoelastic Wave Propagation Problem with Second Sound
    • C. Lee, W. P. Change, and F. A. Cozzarelli, Some Results on the One-Dimensional Coupled Nonlinear Thermoviscoelastic Wave Propagation Problem with Second Sound, Acta Mech., vol. 37, pp. 111-120, 1980.
    • (1980) Acta Mech , vol.37 , pp. 111-120
    • Lee, C.1    Change, W.P.2    Cozzarelli, F.A.3
  • 28
    • 0016442308 scopus 로고
    • One-Dimensional Shock Waves in Solids with Internal State Variables
    • W. Kosinski, One-Dimensional Shock Waves in Solids with Internal State Variables, Arch. Mech., vol. 27, pp. 445-458, 1975.
    • (1975) Arch. Mech , vol.27 , pp. 445-458
    • Kosinski, W.1
  • 30
    • 0019367877 scopus 로고
    • Volume of Fluid (VOF) Method for Dynamics of Free Boundaries
    • C. W. Hirt and B. D. Nicholls, Volume of Fluid (VOF) Method for Dynamics of Free Boundaries, J. Comput. Phys., vol. 39, pp. 201-221, 1981.
    • (1981) J. Comput. Phys , vol.39 , pp. 201-221
    • Hirt, C.W.1    Nicholls, B.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.