Plane Harmonic Waves in Thermoelastic Materials with a Memory-Dependent Derivative

被引:8
作者
Bachher, M. [1 ]
机构
[1] Media Girls High Sch, North 24 Parganas, Gobardanga, W Bengal, India
关键词
Lord-Shulman model; memory-dependent derivative; time delay; kernel function; displacement potential;
D O I
10.1134/S0021894419010152
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The Lord-Shulman theory of generalized thermoelasticity based on a memory-dependent derivative is employed to study the propagation of plane harmonic waves in a two-dimensional semi-infinite thermoelastic medium. The numerical solution is analyzed for various values of the time delay parameter.
引用
收藏
页码:123 / 131
页数:9
相关论文
共 13 条
[1]   Generalized thermoelastic infinite medium with voids subjected to a instantaneous heat sources with fractional derivative heat transfer [J].
Bachher, M. ;
Sarkar, N. ;
Lahiri, A. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2014, 89 :84-91
[2]   Generalized thermo-viscoelasticity with memory-dependent derivatives [J].
Ezzat, M. A. ;
El-Karamany, A. S. ;
El-Bary, A. A. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2014, 89 :470-475
[3]   Generalized thermoelasticity with memory-dependent derivatives involving two temperatures [J].
Ezzat, Magdy A. ;
El-Karamany, Ahmed S. ;
El-Bary, Alaa A. .
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2016, 23 (05) :545-553
[4]   A novel magneto-thermoelasticity theory with memory-dependent derivative [J].
Ezzat, Magdy A. ;
El-Karamany, Ahmed S. ;
El-Bary, Alaa A. .
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2015, 29 (08) :1018-1031
[5]   Fractional ultrafast laser-induced magneto-thermoelastic behavior in perfect conducting metal films [J].
Ezzat, Magdy A. ;
El-Karamany, Ahmed S. ;
El-Bary, A. A. ;
Fayik, Mohsen A. .
JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS, 2014, 28 (01) :64-82
[6]   A GENERALIZED DYNAMICAL THEORY OF THERMOELASTICITY [J].
LORD, HW ;
SHULMAN, Y .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1967, 15 (05) :299-&
[7]   Memory-dependent derivatives for photothermal semiconducting medium in generalized thermoelasticity with two-temperature [J].
Lotfy, K. ;
Sarkar, N. .
MECHANICS OF TIME-DEPENDENT MATERIALS, 2017, 21 (04) :519-534
[8]  
Podlubny I., 1999, FRACTIONAL DIFFERENT
[9]   A 2D problem of time-fractional heat order for two-temperature thermoelasticity under hydrostatic initial stress [J].
Sarkar, N. ;
Lotfy, Kh. .
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, 2018, 25 (04) :279-285
[10]   Wave propagation in an initially stressed elastic half-space solids under time-fractional order two-temperature magneto-thermoelasticity [J].
Sarkar, N. .
EUROPEAN PHYSICAL JOURNAL PLUS, 2017, 132 (04)