-
1
-
-
0000949743
-
On a theory of heat conduction involving two temperatures
-
Chen P. J., Gurtin M. E.: On a theory of heat conduction involving two temperatures. ZAMP 19, 614-627 (1968).
-
(1968)
Zamp
, vol.19
, pp. 614-627
-
-
Chen, P.J.1
Gurtin, M.E.2
-
2
-
-
2142708425
-
A note on non-simple heat conduction
-
Chen P. J., Gurtin M. E., Williams W. O.: A note on non-simple heat conduction. ZAMP 19, 969-970 (1968).
-
(1968)
Zamp
, vol.19
, pp. 969-970
-
-
Chen, P.J.1
Gurtin, M.E.2
Williams, W.O.3
-
3
-
-
2142717102
-
On the thermodynamics of non-simple elastic materials with two temperatures
-
Chen P. J., Gurtin M. E., Williams W. O.: On the thermodynamics of non-simple elastic materials with two temperatures. ZAMP 20, 107-112 (1969).
-
(1969)
Zamp
, vol.20
, pp. 107-112
-
-
Chen, P.J.1
Gurtin, M.E.2
Williams, W.O.3
-
4
-
-
0015554096
-
Wave propagation in the two-temperature theory of thermoelasticity
-
Warren W. E., Chen P. J.: Wave propagation in the two-temperature theory of thermoelasticity. Acta Mech. 16, 21-33 (1973).
-
(1973)
Acta Mech.
, vol.16
, pp. 21-33
-
-
Warren, W.E.1
Chen, P.J.2
-
5
-
-
5844296531
-
On the linear coupled thermoelasticity with two temperatures
-
Ieşan D.: On the linear coupled thermoelasticity with two temperatures. ZAMP 21, 583-591 (1970).
-
(1970)
Zamp
, vol.21
, pp. 583-591
-
-
Ieşan, D.1
-
6
-
-
33748070515
-
Theory of two-temperature generalized thermoelasticity
-
Youssef H.: Theory of two-temperature generalized thermoelasticity. IMA J. Appl. Math. 71, 383-390 (2006).
-
(2006)
IMA J. Appl. Math.
, vol.71
, pp. 383-390
-
-
Youssef, H.1
-
7
-
-
33750205429
-
On the propagation of harmonic plane waves under the two-temperature theory
-
Puri P., Jordan P. M.: On the propagation of harmonic plane waves under the two-temperature theory. Int. J. Eng. Sci. 44, 1113-1126 (2006).
-
(2006)
Int. J. Eng. Sci.
, vol.44
, pp. 1113-1126
-
-
Puri, P.1
Jordan, P.M.2
-
8
-
-
33750202795
-
Thermoelastic waves in non-simple media
-
Chakrabarti S.: Thermoelastic waves in non-simple media. Pure Appl. Geophys. 109, 1682-1692 (1973).
-
(1973)
Pure Appl. Geophys.
, vol.109
, pp. 1682-1692
-
-
Chakrabarti, S.1
-
9
-
-
60449085028
-
State space approach of two-temperature magneto-thermoelasticity theory with thermal relaxation in a medium of perfect conductivity
-
Ezzat M. A., El-Bary A. A.: State space approach of two-temperature magneto-thermoelasticity theory with thermal relaxation in a medium of perfect conductivity. Int. J. Eng. Sci. 47, 618-630 (2009).
-
(2009)
Int. J. Eng. Sci.
, vol.47
, pp. 618-630
-
-
Ezzat, M.A.1
El-Bary, A.A.2
-
10
-
-
57349137504
-
State space approach to solids and fluids
-
Ezzat M. A.: State space approach to solids and fluids. Can. J. Phys. Rev. 86, 1241-1250 (2008).
-
(2008)
Can. J. Phys. Rev.
, vol.86
, pp. 1241-1250
-
-
Ezzat, M.A.1
-
11
-
-
2142827202
-
On existence, structural stability, convergence and spatial behavior in thermoelasticity with two temperatures
-
Quintanilla R.: On existence, structural stability, convergence and spatial behavior in thermoelasticity with two temperatures. Acta Mech. 168, 61-73 (2004).
-
(2004)
Acta Mech.
, vol.168
, pp. 61-73
-
-
Quintanilla, R.1
-
12
-
-
0001753108
-
Generalized thermoelasticity and its applications
-
In: Hetnarski, R. B. (ed.) Elsevier, New York
-
Ignaczak, J.: Generalized thermoelasticity and its applications. In: Hetnarski, R. B. (ed.) Thermal Stress, vol. III, pp. 279-354. Elsevier, New York (1989).
-
(1989)
Thermal Stress
, vol.III
, pp. 279-354
-
-
Ignaczak, J.1
-
13
-
-
0001194946
-
Hyperbolic thermoelasticity. A review of recent literature
-
Chandrasekharaiah D. S.: Hyperbolic thermoelasticity. A review of recent literature. Appl. Mech. Rev. 51, 705-729 (1998).
-
(1998)
Appl. Mech. Rev.
, vol.51
, pp. 705-729
-
-
Chandrasekharaiah, D.S.1
-
16
-
-
49949149766
-
A generalized dynamical theory of thermoelasticity
-
Lord H., Shulman Y.: A generalized dynamical theory of thermoelasticity. Mech. Phys. Solids 15, 299-309 (1967).
-
(1967)
Mech. Phys. Solids
, vol.15
, pp. 299-309
-
-
Lord, H.1
Shulman, Y.2
-
19
-
-
0004135196
-
Addendum to the paper: heat waves
-
Joseph D. D., Preziosi L.: Addendum to the paper: heat waves. Rev. Mod. Phys. 62, 375-391 (1990).
-
(1990)
Rev. Mod. Phys.
, vol.62
, pp. 375-391
-
-
Joseph, D.D.1
Preziosi, L.2
-
20
-
-
0000366367
-
Sur une forme de l'e'quation de la Chaleur e'liminant le paradoxe d'une propagation instantane'e
-
Cattaneo C.: Sur une forme de l'e'quation de la Chaleur e'liminant le paradoxe d'une propagation instantane'e. C. R. Acad. Sci. 247, 431-433 (1958).
-
(1958)
C. R. Acad. Sci.
, vol.247
, pp. 431-433
-
-
Cattaneo, C.1
-
21
-
-
0018458936
-
Uniqueness in generalized thermoelasticity
-
Ignaczak J.: Uniqueness in generalized thermoelasticity. J. Therm. Stress. 2, 171-175 (1979).
-
(1979)
J. Therm. Stress.
, vol.2
, pp. 171-175
-
-
Ignaczak, J.1
-
22
-
-
0021696401
-
A temperature-rate dependent thermo-piezoelectricity
-
Chandrasekharaiah D. S.: A temperature-rate dependent thermo-piezoelectricity. J. Therm. Stress. 7, 293-306 (1984).
-
(1984)
J. Therm. Stress.
, vol.7
, pp. 293-306
-
-
Chandrasekharaiah, D.S.1
-
23
-
-
0023089999
-
On uniqueness and stability in generalized thermoelasticity
-
Sherief H.: On uniqueness and stability in generalized thermoelasticity. Quart. J. Appl. Math. 45, 773-778 (1987).
-
(1987)
Quart. J. Appl. Math.
, vol.45
, pp. 773-778
-
-
Sherief, H.1
-
24
-
-
0036606307
-
The uniqueness and reciprocity theorems for generalized thermoviscoelasticity for anisotropic media
-
Ezzat M. A., El-Karamany A. S.: The uniqueness and reciprocity theorems for generalized thermoviscoelasticity for anisotropic media. J. Therm. Stress. 25, 507-522 (2002).
-
(2002)
J. Therm. Stress.
, vol.25
, pp. 507-522
-
-
Ezzat, M.A.1
El-Karamany, A.S.2
-
25
-
-
0142258800
-
On uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with thermal relaxation
-
Ezzat M. A., El-Karamany A. S.: On uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with thermal relaxation. Can. J. Phys. 81, 823-833 (2003).
-
(2003)
Can. J. Phys.
, vol.81
, pp. 823-833
-
-
Ezzat, M.A.1
El-Karamany, A.S.2
-
26
-
-
0022583112
-
Fundamental solution of generalized thermoelastic problem for short times
-
Sherief H.: Fundamental solution of generalized thermoelastic problem for short times. J. Therm. Stress. 9, 151-164 (1986).
-
(1986)
J. Therm. Stress.
, vol.9
, pp. 151-164
-
-
Sherief, H.1
-
27
-
-
3242694129
-
Fundamental solution in generalized magneto-thermoelasticity with two relaxation times for perfect conductor cylindrical region
-
Ezzat M. A.: Fundamental solution in generalized magneto-thermoelasticity with two relaxation times for perfect conductor cylindrical region. Int. J. Eng. Sci. 4, 1503-1519 (2004).
-
(2004)
Int. J. Eng. Sci.
, vol.4
, pp. 1503-1519
-
-
Ezzat, M.A.1
-
28
-
-
33644672654
-
Propagation of discontinuities in magneto-thermoelastic half-space
-
Ezzat M. A., El-Karamany A. S.: Propagation of discontinuities in magneto-thermoelastic half-space. J. Therm. Stress. 29, 331-358 (2006).
-
(2006)
J. Therm. Stress.
, vol.29
, pp. 331-358
-
-
Ezzat, M.A.1
El-Karamany, A.S.2
-
29
-
-
9944261982
-
Discontinuities in generalized thermo-viscoelasticity under four theories
-
El-Karamany A. S., Ezzat M. A.: Discontinuities in generalized thermo-viscoelasticity under four theories. J. Therm. Stress. 27, 1187-1212 (2004).
-
(2004)
J. Therm. Stress.
, vol.27
, pp. 1187-1212
-
-
El-Karamany, A.S.1
Ezzat, M.A.2
-
30
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent II
-
Caputo M.: Linear models of dissipation whose Q is almost frequency independent II. Geophys. J. R. Astron. Soc. 13, 529-539 (1967).
-
(1967)
Geophys. J. R. Astron. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
31
-
-
0001983732
-
Fractional calculus: some basic problems in continuum and statistical mechanics
-
A. Carpinteri and F. Mainardi (Eds.), New York: Springer
-
Mainardi F.: Fractional calculus: some basic problems in continuum and statistical mechanics'. In: Carpinteri, A., Mainardi, F. (eds) Fractals and Fractional Calculus in Continuum Mechanics, pp. 291-348. Springer, New York (1997).
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
33
-
-
0003223705
-
Generalized fractional calculus and applications
-
Longman-Wiley, New York
-
Kiryakova, V.: Generalized fractional calculus and applications. In: Pitman Research Notes in Mathematics Series, vol. 301. Longman-Wiley, New York (1994).
-
(1994)
Pitman Research Notes in Mathematics Series
, vol.301
-
-
Kiryakova, V.1
-
39
-
-
51649182765
-
Linear model of dissipation in anelastic solids
-
Caputo M., Mainardi F.: Linear model of dissipation in anelastic solids. Rivis ta el Nuovo cimento 1, 161-198 (1971).
-
(1971)
Rivis Ta El Nuovo Cimento
, vol.1
, pp. 161-198
-
-
Caputo, M.1
Mainardi, F.2
-
40
-
-
0016103247
-
Vibrations on an infinite viscoelastic layer with a dissipative Memory
-
Caputo M.: Vibrations on an infinite viscoelastic layer with a dissipative Memory. J. Acous. Soc. Am. 56, 897-904 (1974).
-
(1974)
J. Acous. Soc. Am.
, vol.56
, pp. 897-904
-
-
Caputo, M.1
-
41
-
-
0020765202
-
A theoretical basis for the application of fractional Calculus to viscoelasticity
-
Bagley R. L., Torvik P. J.: A theoretical basis for the application of fractional Calculus to viscoelasticity. J. Rheol. 27, 201-210 (1983).
-
(1983)
J. Rheol.
, vol.27
, pp. 201-210
-
-
Bagley, R.L.1
Torvik, P.J.2
-
42
-
-
0021440218
-
Applications of fractional calculus to the theory of viscoelasticity
-
Koeller R. C.: Applications of fractional calculus to the theory of viscoelasticity. Trans. ASME-J. Appl. Mech. 51, 299-307 (1984).
-
(1984)
Trans. ASME-J. Appl. Mech.
, vol.51
, pp. 299-307
-
-
Koeller, R.C.1
-
43
-
-
0030867045
-
Applications of fractional calculus to dynamic problems of linear and nonlinear heredity mechanics of solids
-
Rossikhin Yu. A., Shitikova M. V.: Applications of fractional calculus to dynamic problems of linear and nonlinear heredity mechanics of solids. Appl. Mech. Rev. 50, 15-67 (1997).
-
(1997)
Appl. Mech. Rev.
, vol.50
, pp. 15-67
-
-
Rossikhin, Y.A.1
Shitikova, M.V.2
-
44
-
-
0036829341
-
Strange kinetics, porous media, and NMR
-
Kimmich R.: Strange kinetics, porous media, and NMR. J. Chem. Phys. 284, 243-285 (2002).
-
(2002)
J. Chem. Phys.
, vol.284
, pp. 243-285
-
-
Kimmich, R.1
-
45
-
-
0000145521
-
On Mittag-Lettler-type function in fractional evolution processes
-
Mainardi F., Gorenflo R.: On Mittag-Lettler-type function in fractional evolution processes. J. Comput. Appl. Math. 118, 283-299 (2000).
-
(2000)
J. Comput. Appl. Math.
, vol.118
, pp. 283-299
-
-
Mainardi, F.1
Gorenflo, R.2
-
46
-
-
84972547716
-
Integrodifferential equation which interpolates the heat equation and wave Equation (I)
-
Fujita Y.: Integrodifferential equation which interpolates the heat equation and wave Equation (I). Osaka J. Math. 27, 309-321 (1990).
-
(1990)
Osaka J. Math.
, vol.27
, pp. 309-321
-
-
Fujita, Y.1
-
47
-
-
84972571026
-
Integrodifferential equation which interpolates the heat equation and wave equation (II)
-
Fujita Y.: Integrodifferential equation which interpolates the heat equation and wave equation (II). Osaka J. Math. 27, 797-804 (1990).
-
(1990)
Osaka J. Math.
, vol.27
, pp. 797-804
-
-
Fujita, Y.1
-
48
-
-
13844253772
-
Fractional heat conduction equation and associated thermal stress
-
Povstenko Y. Z.: Fractional heat conduction equation and associated thermal stress. J. Therm. Stress. 28, 83-102 (2005).
-
(2005)
J. Therm. Stress.
, vol.28
, pp. 83-102
-
-
Povstenko, Y.Z.1
-
52
-
-
77955283494
-
Theory of fractional order generalized thermoelasticity
-
Youssef H.: Theory of fractional order generalized thermoelasticity. J. Heat Transf. 132, 1-7 (2010).
-
(2010)
J. Heat Transf.
, vol.132
, pp. 1-7
-
-
Youssef, H.1
-
53
-
-
77957168518
-
Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer
-
Ezzat M. A.: Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer. Phys. B 405, 4188-4194 (2010).
-
(2010)
Phys. B
, vol.405
, pp. 4188-4194
-
-
Ezzat, M.A.1
-
54
-
-
78349303958
-
Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer
-
Ezzat M. A.: Magneto-thermoelasticity with thermoelectric properties and fractional derivative heat transfer. Phys. B 406, 30-35 (2011).
-
(2011)
Phys. B
, vol.406
, pp. 30-35
-
-
Ezzat, M.A.1
-
55
-
-
74249118189
-
Derivation and solutions of some fractional Black_Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio
-
Jumarie G.: Derivation and solutions of some fractional Black_Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio. Comput. Math. Appl. 59, 1142-1164 (2010).
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1142-1164
-
-
Jumarie, G.1
-
56
-
-
79551523032
-
Convolutional variational principle, reciprocal and uniqueness theorems in linear fractional two-temperature thermoelasticity
-
El-Karamany A. S., Ezzat M. A.: Convolutional variational principle, reciprocal and uniqueness theorems in linear fractional two-temperature thermoelasticity. J. Therm. Stress. 34(3), 264-284 (2011).
-
(2011)
J. Therm. Stress.
, vol.34
, Issue.3
, pp. 264-284
-
-
El-Karamany, A.S.1
Ezzat, M.A.2
-
57
-
-
79956121976
-
On the Fractional Thermoelasticity
-
Published online 8 March, doi: 10.1177/1081286510397228
-
El-Karamany, A. S., Ezzat, M. A.: On the Fractional Thermoelasticity. Mathematics and Mechanics of Solid. Published online 8 March 2011, doi: 10. 1177/1081286510397228.
-
(2011)
Mathematics and Mechanics of Solid
-
-
El-Karamany, A.S.1
Ezzat, M.A.2
-
58
-
-
79953232071
-
Fractional order theory of a perfect conducting thermoelastic medium
-
Ezzat M. A., El-Karamany A. S.: Fractional order theory of a perfect conducting thermoelastic medium. Can. J. Phys. 89(3), 311-318 (2011).
-
(2011)
Can. J. Phys.
, vol.89
, Issue.3
, pp. 311-318
-
-
Ezzat, M.A.1
El-Karamany, A.S.2
-
59
-
-
0021375050
-
A method for the numerical inversion of the Laplace transform
-
Honig G., Hirdes U.: A method for the numerical inversion of the Laplace transform. J. Comp. Appl. Math. 10, 113-132 (1984).
-
(1984)
J. Comp. Appl. Math.
, vol.10
, pp. 113-132
-
-
Honig, G.1
Hirdes, U.2
-
60
-
-
36849124387
-
Thermoelasticity and irreversible thermodynamics
-
Biot M.: Thermoelasticity and irreversible thermodynamics. J. Appl. Phys. 27, 240-253 (1956).
-
(1956)
J. Appl. Phys.
, vol.27
, pp. 240-253
-
-
Biot, M.1
-
61
-
-
70449561139
-
State space approach of two-temperature magneto-viscoelasticity with thermal relaxation in a medium of perfect conductivity
-
Ezzat M. A., El-Karamany A. S.: State space approach of two-temperature magneto-viscoelasticity with thermal relaxation in a medium of perfect conductivity. J. Therm. Stress. 32, 819-838 (2009).
-
(2009)
J. Therm. Stress.
, vol.32
, pp. 819-838
-
-
Ezzat, M.A.1
El-Karamany, A.S.2
-
62
-
-
77954200110
-
Electro-magneto-thermoelastic plane waves in micropolar solid involving two temperatures
-
Ezzat M. A., Farid H., Emad A.: Electro-magneto-thermoelastic plane waves in micropolar solid involving two temperatures. Acta Mech. Solida Sin. 23, 200-212 (2010).
-
(2010)
Acta Mech. Solida Sin.
, vol.23
, pp. 200-212
-
-
Ezzat, M.A.1
Farid, H.2
Emad, A.3
|