Generalized thermoelasticity based on higher-order memory-dependent derivative with time delay

被引:57
作者
Abouelregal, Ahmed E. [1 ,2 ]
Moustapha, Mohamed, V [1 ,3 ]
Nofal, Taher A. [4 ]
Rashid, Saima [5 ]
Ahmad, Hijaz [6 ,7 ]
机构
[1] Jouf Univ, Coll Sci & Arts, Dept Math, Al Qurayyat, Saudi Arabia
[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt
[3] Univ Alasriya Nouakchott, Fac Sci & Tech, Nouakchott, Mauritania
[4] Taif Univ, Coll Sci, Dept Math, POB 11099, At Taif 21944, Saudi Arabia
[5] Govt Coll Univ, Dept Math, Faisalabad, Pakistan
[6] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy
[7] Univ Engn & Technol, Dept Basic Sci, Peshawar, Pakistan
关键词
Thermoelasticity; Memory-dependent derivative; Higher-order; Kernel function; Time delay;
D O I
10.1016/j.rinp.2020.103705
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this investigation, based on the theory of generalized thermoelasticity and memory-dependent derivative (MDD) with time delay, a new model of heat conduction has been constructed. The new model has been incorporated by introducing the higher-order Taylor's series expansion of Fourier's law involving MDD with a kernel function. The derived model is an extension and generalization of many models presented in this field which can be obtained as special cases. The thermoelastic vibrations in an infinite medium that is exposed to an instant heat source and a concentrated magnetic field have been discussed based on the formulation model. The solutions and the numerical results of the studied fields are obtained by using the Laplace transform technique. Some comparisons with figures and tables have been presented to examine the effects of various choices for kernel function, time delay and the higher order of derivatives in all fields studied.
引用
收藏
页数:9
相关论文
共 59 条
[1]   Three-phase-lag thermoelastic heat conduction model with higher-order time-fractional derivatives [J].
Abouelregal, A. E. .
INDIAN JOURNAL OF PHYSICS, 2020, 94 (12) :1949-1963
[2]   Analysis of a functionally graded thermopiezoelectric finite rod excited by a moving heat source [J].
Abouelregal, Ahmed E. ;
Yao, Shao-Wen ;
Ahmad, Hijaz .
RESULTS IN PHYSICS, 2020, 19
[3]   Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction [J].
Abouelregal, Ahmed E. ;
Ahmad, Hijaz .
APPLIED MATHEMATICAL MODELLING, 2021, 91 :973-988
[4]   Response of thermoviscoelastic microbeams affected by the heating of laser pulse under thermal and magnetic fields [J].
Abouelregal, Ahmed E. ;
Ahmad, Hijaz .
PHYSICA SCRIPTA, 2020, 95 (12)
[5]   Functionally Graded Piezoelectric Medium Exposed to a Movable Heat Flow Based on a Heat Equation with a Memory-Dependent Derivative [J].
Abouelregal, Ahmed E. ;
Ahmad, Hijaz ;
Yao, Shao-Wen .
MATERIALS, 2020, 13 (18)
[6]   On Green and Naghdi Thermoelasticity Model without Energy Dissipation with Higher Order Time Differential and Phase-Lags [J].
Abouelregal, Ahmed E. .
JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2020, 6 (03) :445-456
[7]   Rotating magneto-thermoelastic rod with finite length due to moving heat sources via Eringen's nonlocal model [J].
Abouelregal, Ahmed E. .
JOURNAL OF COMPUTATIONAL APPLIED MECHANICS, 2019, 50 (01) :118-126
[8]   Modified fractional thermoelasticity model with multi-relaxation times of higher order: application to spherical cavity exposed to a harmonic varying heat [J].
Abouelregal, Ahmed E. .
WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 31 (05) :812-832
[9]   Modified Variational Iteration Algorithm-II: Convergence and Applications to Diffusion Models [J].
Ahmad, Hijaz ;
Khan, Tufail A. ;
Stanimirovic, Predrag S. ;
Chu, Yu-Ming ;
Ahmad, Imtiaz .
COMPLEXITY, 2020, 2020
[10]   Analytic approximate solutions for some nonlinear Parabolic dynamical wave equations [J].
Ahmad, Hijaz ;
Seadawy, Aly R. ;
Khan, Tufail A. ;
Thounthong, Phatiphat .
JOURNAL OF TAIBAH UNIVERSITY FOR SCIENCE, 2020, 14 (01) :346-358