메뉴 건너뛰기




Volumn 37, Issue 4, 2010, Pages 436-440

Fractional radial heat conduction in an infinite medium with a cylindrical cavity and associated thermal stresses

Author keywords

Fractional derivative; Fractional differential equation; Mittag Leffler functions; Non Fourier heat conduction; Thermal stresses

Indexed keywords

CYLINDRICAL CAVITIES; CYLINDRICAL HOLES; DIRICHLET AND NEUMANN BOUNDARY CONDITIONS; FRACTIONAL DERIVATIVES; FRACTIONAL DIFFERENTIAL EQUATIONS; HEAT CONDUCTION EQUATIONS; INTEGRAL TRANSFORM; MITTAG-LEFFLER FUNCTIONS; NON-FOURIER HEAT CONDUCTION; NUMERICAL RESULTS;

EID: 77955414263     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2010.04.006     Document Type: Article
Times cited : (116)

References (25)
  • 1
    • 39449112381 scopus 로고    scopus 로고
    • Effects of thermal relaxations on thermo-elastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity
    • I.A. Abbas, and A.N. Abd-alla Effects of thermal relaxations on thermo-elastic interactions in an infinite orthotropic elastic medium with a cylindrical cavity Arch. Appl. Mech. 78 2008 283 293
    • (2008) Arch. Appl. Mech. , vol.78 , pp. 283-293
    • Abbas, I.A.1    Abd-Alla, A.N.2
  • 2
    • 44149120241 scopus 로고    scopus 로고
    • On the propagation of second-sound in linear and nonlinear media: Results from Green-Naghdi theory
    • S. Bargmann, P. Steinmann, and P.M. Jordan On the propagation of second-sound in linear and nonlinear media: results from Green-Naghdi theory Phys. Lett. A 372 2008 4418 4424
    • (2008) Phys. Lett. A , vol.372 , pp. 4418-4424
    • Bargmann, S.1    Steinmann, P.2    Jordan, P.M.3
  • 4
    • 84973509052 scopus 로고
    • Thermoelasticity with second sound: A review
    • D.S. Chandrasekharaiah Thermoelasticity with second sound: a review Appl. Mech. Rev. 39 1986 355 376
    • (1986) Appl. Mech. Rev. , vol.39 , pp. 355-376
    • Chandrasekharaiah, D.S.1
  • 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. 51 1998 705 729
    • (1998) Appl. Mech. Rev. , vol.51 , pp. 705-729
    • Chandrasekharaiah, D.S.1
  • 6
    • 0026681957 scopus 로고
    • Axisymmetric thermoelastic interactions in an unbounded body with cylindrical cavity
    • D.S. Chandrasekharaiah, and H.R. Keshavan Axisymmetric thermoelastic interactions in an unbounded body with cylindrical cavity Acta Mech. 92 1992 61 76
    • (1992) Acta Mech. , vol.92 , pp. 61-76
    • Chandrasekharaiah, D.S.1    Keshavan, H.R.2
  • 7
    • 0030662882 scopus 로고    scopus 로고
    • Axisymmetric thermoelastic interactions without energy dissipation in an unbounded body with cylindrical cavity
    • D.S. Chandrasekharaiah, and K.S. Srinath Axisymmetric thermoelastic interactions without energy dissipation in an unbounded body with cylindrical cavity J. Elasticity 46 1997 19 31
    • (1997) J. Elasticity , vol.46 , pp. 19-31
    • Chandrasekharaiah, D.S.1    Srinath, K.S.2
  • 8
    • 0025225796 scopus 로고
    • Generalized thermoelasticity for an infinite body with a circular cylindrical hole
    • T. Furukawa, N. Noda, and F. Ashida Generalized thermoelasticity for an infinite body with a circular cylindrical hole JSME Int. J. 31 1990 26 32
    • (1990) JSME Int. J. , vol.31 , pp. 26-32
    • Furukawa, T.1    Noda, N.2    Ashida, F.3
  • 10
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • R. Gorenflo, and F. Mainardi Fractional calculus: integral and differential equations of fractional order A. Carpinteri, F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics 1997 Springer New York 223 276
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2
  • 11
    • 0027607737 scopus 로고
    • Thermoelasticity without energy dissipation
    • A.E. Green, and P.M. Naghdi Thermoelasticity without energy dissipation J. Elasticity 31 1993 189 208
    • (1993) J. Elasticity , vol.31 , pp. 189-208
    • Green, A.E.1    Naghdi, P.M.2
  • 13
    • 0001753108 scopus 로고
    • Generalized thermoelasticity and its applications
    • J. Ignaczak Generalized thermoelasticity and its applications R. Hetnarski, Thermal Stresses III 1989 Elsevier Amsterdam 279 354
    • (1989) Thermal Stresses III , pp. 279-354
    • Ignaczak, J.1
  • 15
    • 0345633630 scopus 로고    scopus 로고
    • Stochastic foundation of normal and anomalous Cattaneo-type transport
    • R. Metzler, and A. Compte Stochastic foundation of normal and anomalous Cattaneo-type transport Physica A 268 1999 454 468
    • (1999) Physica A , vol.268 , pp. 454-468
    • Metzler, R.1    Compte, A.2
  • 16
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • R. Metzler, and J. Klafter The random walk's guide to anomalous diffusion: a fractional dynamics approach Phys. Rep. 339 2000 1 77
    • (2000) Phys. Rep. , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 17
    • 0021448875 scopus 로고
    • To the theoretical explanation of the "universal response"
    • R.R. Nigmatullin To the theoretical explanation of the "universal response" Phys. Stat. Sol. (b) 123 1984 739 745
    • (1984) Phys. Stat. Sol. (B) , vol.123 , pp. 739-745
    • Nigmatullin, R.R.1
  • 19
    • 34250459827 scopus 로고
    • The quasi-static problem in coupled thermoelasticity
    • Ya.S. Podstrigach, and R.N. Shvets The quasi-static problem in coupled thermoelasticity Int. Appl. Mech. 5 1969 33 39
    • (1969) Int. Appl. Mech. , vol.5 , pp. 33-39
    • Podstrigach, Y.S.1    Shvets, R.N.2
  • 20
    • 13844253772 scopus 로고    scopus 로고
    • Fractional heat conduction equation and associated thermal stress
    • Y.Z. Povstenko Fractional heat conduction equation and associated thermal stress J. Therm. Stresses 28 2005 83 102
    • (2005) J. Therm. Stresses , vol.28 , pp. 83-102
    • Povstenko, Y.Z.1
  • 21
    • 54949108246 scopus 로고    scopus 로고
    • Fractional heat conduction equation and associated thermal stresses in an infinite solid with a spherical cavity
    • Y.Z. Povstenko Fractional heat conduction equation and associated thermal stresses in an infinite solid with a spherical cavity Quart. J. Mech. Appl. Math. 61 2008 523 547
    • (2008) Quart. J. Mech. Appl. Math. , vol.61 , pp. 523-547
    • Povstenko, Y.Z.1
  • 22
    • 66949111739 scopus 로고    scopus 로고
    • Fractional radial diffusion in an infinite medium with cylindrical cavity
    • Y.Z. Povstenko Fractional radial diffusion in an infinite medium with cylindrical cavity Quart. Appl. Math. 67 2009 113 123
    • (2009) Quart. Appl. Math. , vol.67 , pp. 113-123
    • Povstenko, Y.Z.1
  • 24
    • 64249111983 scopus 로고    scopus 로고
    • Generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source
    • H.M. Youssef Generalized thermoelastic infinite medium with cylindrical cavity subjected to moving heat source Mech. Res. Commun. 36 2009 487 496
    • (2009) Mech. Res. Commun. , vol.36 , pp. 487-496
    • Youssef, H.M.1
  • 25
    • 33750026674 scopus 로고
    • Scale-invariant motion in intermittent chaotic systems
    • G. Zumofen, and J. Klafter Scale-invariant motion in intermittent chaotic systems Phys. Rev. E 47 1993 851 863
    • (1993) Phys. Rev. e , vol.47 , pp. 851-863
    • Zumofen, G.1    Klafter, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.