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      KCI등재 SCIE SCOPUS

      Effect of heat source and gravity on a fractional order fiber reinforced thermoelastic medium

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      https://www.riss.kr/link?id=A105931360

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      다국어 초록 (Multilingual Abstract)

      In this article, the theory of fractional order two temperature generalized thermoelasticity is employed to study the wave propagation in a fiber reinforced anisotropic thermoelastic half space in the presence of moving internal heat source. The whole...

      In this article, the theory of fractional order two temperature generalized thermoelasticity is employed to study the wave propagation in a fiber reinforced anisotropic thermoelastic half space in the presence of moving internal heat source. The whole space is assumed to be under the influence of gravity. The surface of the half-space is subjected to an inclined load. Laplace and Fourier transform techniques are employed to solve the problem. Expressions for different field variables in the physical domain are derived by the application of numerical inversion technique. Physical fields are presented graphically to study the effects of gravity and heat source. Effects of time, reinforcement, fractional parameter and inclination of load have also been reported. Results of some earlier workers have been deduced from the present analysis. 2010MSC: 74A15, 80A20.

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      참고문헌 (Reference)

      1 Samia M. Said, "Wave propagation in a two-temperature fiber-reinforced magneto-thermoelastic medium with three-phase-lag model" 국제구조공학회 57 (57): 201-220, 2016

      2 Yadav, R., "Two temperature theory of initially stressed electromicrostretch medium without energy dissipation" 23 (23): 4931-4940, 2017

      3 Ezzat, M. A., "Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer" 405 (405): 4188-4194, 2010

      4 Danilovskaya, V. I., "Thermal stresses in an elastic semi-space due to a sudden heating of its boundary" 14 : 316-318, 1950

      5 Sarkar, N., "The effect of hydrostatic initial stress on the plane waves in a fiber reinforced magneto-thermoelastic medium with fractional derivative heat transfer" 52 (52): 203-216, 2016

      6 Eason, G., "The dynamic stress produced in elastic body by uneven heating" 65 : 143-176, 1959

      7 Sengupta, P. R., "Surface waves in fiber reinforced anisotropic elastic media" 26 (26): 363-370, 2001

      8 Singh, B., "Surface waves at the free surface of a fiber reinforced elastic half-space" 29 (29): 249-257, 2004

      9 Arup Baksi, "Study of two dimensional visco-elastic problems in generalized thermoelastic medium with heat source" 국제구조공학회 29 (29): 673-687, 2008

      10 Belfield, A. J., "Stress in elastic plates reinforced by fibers lying in concentric circles" 31 (31): 25-54, 1983

      1 Samia M. Said, "Wave propagation in a two-temperature fiber-reinforced magneto-thermoelastic medium with three-phase-lag model" 국제구조공학회 57 (57): 201-220, 2016

      2 Yadav, R., "Two temperature theory of initially stressed electromicrostretch medium without energy dissipation" 23 (23): 4931-4940, 2017

      3 Ezzat, M. A., "Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer" 405 (405): 4188-4194, 2010

      4 Danilovskaya, V. I., "Thermal stresses in an elastic semi-space due to a sudden heating of its boundary" 14 : 316-318, 1950

      5 Sarkar, N., "The effect of hydrostatic initial stress on the plane waves in a fiber reinforced magneto-thermoelastic medium with fractional derivative heat transfer" 52 (52): 203-216, 2016

      6 Eason, G., "The dynamic stress produced in elastic body by uneven heating" 65 : 143-176, 1959

      7 Sengupta, P. R., "Surface waves in fiber reinforced anisotropic elastic media" 26 (26): 363-370, 2001

      8 Singh, B., "Surface waves at the free surface of a fiber reinforced elastic half-space" 29 (29): 249-257, 2004

      9 Arup Baksi, "Study of two dimensional visco-elastic problems in generalized thermoelastic medium with heat source" 국제구조공학회 29 (29): 673-687, 2008

      10 Belfield, A. J., "Stress in elastic plates reinforced by fibers lying in concentric circles" 31 (31): 25-54, 1983

      11 Youssef, H., "State-space approach to fractional order two-temperature generalized thermoelastic medium subjected to moving heat source" 20 (20): 47-60, 2013

      12 Nowacki, W., "Some dynamic problems of thermoelasticity" 9 : 325-334, 1959

      13 Love, A. E. H., "Some Problems of Geodynamics" Cambridge University Press 1911

      14 Abd-Alla, A. N., "Propagation of a thermoelastic wave in a half space of a homogeneous isotropic material subjected to the effect of gravity field" 17 (17): 564-573, 2017

      15 Chen, P. J., "On the thermodynamics of non-simple elastic material with two temperatures" 20 (20): 107-112, 1969

      16 Bromwich, T. J. J. A., "On the influence of gravity on elastic waves and in particular on the vibrations of an elastic globe" 30 : 98-120, 1898

      17 Chen, P. J., "On a theory of heat conduction involving two temperatures" 19 (19): 614-627, 1968

      18 Abbas, I. A., "Generalized magneto-thermoelasticity in a fiber reinforced anisotropic half-space" 32 (32): 1071-1085, 2011

      19 Sherief, H. H., "Fractional order theory of thermoelasticity" 47 (47): 269-275, 2010

      20 Deswal, S., "Fractional order heat conduction law in micropolar thermo-viscoelasticity with two temperature" 66 : 451-460, 2013

      21 Povstenko, Y. Z., "Fractional heat conduction equation and associated thermal stress" 28 (28): 83-102, 2005

      22 Ailawalia, P., "Effect of rotation in generalized thermoelastic solid under the influence of gravity with an overlying infinite thermoelastic fluid" 30 (30): 1505-1518, 2009

      23 Ailawalia, P., "Effect of rotation in a generalized thermoelastic medium with two temperature under the influence of gravity" 5 (5): 99-116, 2009

      24 Praveen Ailawalia, "Disturbance due to internal heat source in thermoelastic solid using dual phase lag model" 국제구조공학회 56 (56): 341-354, 2015

      25 Jumarie, G., "Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton’s optimal portfolio" 59 (59): 1142-1164, 2010

      26 El-Karamany, A. S., "Convolutional variational principle, reciprocal and uniqueness theorems in linear fractional two-temperature thermoelasticity" 34 (34): 264-284, 2011

      27 Rakshit, M., "A two dimensional thermoviscoelastic problem due to instantaneous point heat source" 46 (46): 1388-1397, 2007

      28 Chen, P. J., "A note on non-simple heat conduction" 19 (19): 969-970, 1968

      29 Honig, G., "A method for the numerical inversion of Laplace transforms" 10 (10): 113-132, 1984

      30 Sunita Deswal, "A magneto-thermo-viscoelastic problem with fractional order strain under GN-II model" 국제구조공학회 63 (63): 89-102, 2017

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