Harmonic waves solution in dual-phase-lag magneto-thermoelasticity

被引:9
作者
Rafiq, Muhammad [1 ]
Singh, Baljeet [2 ]
Arifa, Samreen [1 ]
Nazeer, Muhammad [1 ,3 ]
Usman, Muhammad [4 ]
Arif, Shoaib [5 ]
Bibi, Mairaj [6 ]
Jahangir, Adnan [1 ]
机构
[1] COMSATS Univ Islamabad, Dept Math, Wah Campus, Wah Cantt, Pakistan
[2] Post Grad Govt Coll, Dept Math, Sect 11, Chandigarh, India
[3] ERICA Hanyang Univ, Dept Appl Math, Ansan, South Korea
[4] Ghulam Ishaq Khan Inst Engn Sci & Technol, Dept Eng, Sawabi, Pakistan
[5] Air Univ, Dept Math, PAF Complex E-9, Islamabad, Pakistan
[6] COMSATS Univ Islamabad, Dept Math, Islamabad, Pakistan
来源
OPEN PHYSICS | 2019年 / 17卷 / 01期
关键词
Time harmonic waves; thermo-elasticity; magnetic field; micro-temperature; dual phase lag; normal mode analysis; PLANE-WAVES; PROPAGATION; MODEL; HEAT; CONTINUUM; BODIES; BEAMS;
D O I
10.1515/phys-2019-0002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The current work analyzes the transmission behavior of plane harmonic waves in an isotropic medium. The observation is made for homogeneous type solid in the context of generalized dual phase lag model of thermoelasticity. Concept micro-temperature, where the micro-elements have different temperatures has also been considered. The basic focus of the work is to predict the influence of initially applied magnetic field on plane waves through the elastic solid. We have made an attempt to find exact solution of the problem using an analytical technique of a normal mode analysis method. The theoretical results are obtained for a generalized solid in order to test the numerical calculation of a magnesium crystal. It is found that the magnetic field reduces the strength of the attenuation factor.
引用
收藏
页码:8 / 15
页数:8
相关论文
共 32 条
[1]   Dual-Phase-Lag Model on Thermoelastic Interactions in a Semi-Infinite Medium Subjected to a Ramp-Type Heating [J].
Abbas, Ibrahim A. ;
Zenkour, Ashraf M. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (03) :642-645
[2]   Propagation phenomena in a visco-thermo-micropolar elastic medium under the effect of micro-temperature [J].
Abo-Dahab, S. M. ;
Jahangir, Adnan ;
Muhammad, Nazeer ;
Farwa, Shabieh ;
Bashir, Yasir ;
Usman, Muhammad .
RESULTS IN PHYSICS, 2018, 8 :793-798
[3]   A two-dimensional problem with rotation and magnetic field in the context of four thermoelastic theories [J].
Abo-Dahab, S. M. ;
Abd-Alla, A. M. ;
Alqarni, A. J. .
RESULTS IN PHYSICS, 2017, 7 :2742-2751
[4]  
Abouelregal AE, 2017, ADV AIRCR SPACECR SC, V4, P711, DOI 10.12989/aas.2017.4.6.711
[5]   A two-dimensional problem of a mode-I crack in a rotating fibre-reinforced isotropic thermoelastic medium under dual-phase-lag model [J].
Abouelregal, Ahmed E. ;
Abo-Dahab, S. M. .
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 2018, 43 (01)
[6]   Solution of Algebraic Lyapunov Equation on Positive-Definite Hermitian Matrices by Using Extended Hamiltonian Algorithm [J].
Arif, Muhammad Shoaib ;
Bibi, Mairaj ;
Jhangir, Adnan .
CMC-COMPUTERS MATERIALS & CONTINUA, 2018, 54 (02) :181-195
[7]   Magneto-thermo-elastic waves in an infinite perfectly conducting elastic solid with energy dissipation [J].
Das, Payel ;
Kanoria, Mridula .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2009, 30 (02) :221-228
[8]   Electromagneto-thermoelastic plane waves with two relaxation times in a medium of perfect conductivity [J].
Ezzat, MA ;
Othman, MI .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 2000, 38 (01) :107-120
[9]   THERMODYNAMICS OF A CONTINUUM WITH MICROSTRUCTURE [J].
GROT, RA .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1969, 7 (08) :801-&
[10]   Plane deformation of elastic bodies with microtemperatures [J].
Iesan, D. ;
Scalia, A. .
MECHANICS RESEARCH COMMUNICATIONS, 2010, 37 (07) :617-621