Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium

被引:86
作者
Lotfy, K. [1 ]
Kumar, R. [2 ]
Hassan, W. [3 ]
Gabr, M. [1 ]
机构
[1] Zagazig Univ, Fac Sci, Dept Math, Zagazig 44519, Egypt
[2] Kurukshetra Univ, Dept Math, Kurukshetra, Haryana, India
[3] Port Said Univ, Dept Math & Phys, Fac Engn, Port Said, Egypt
关键词
photothermal theory; carrier density; magnetic field; microtemperature; Laplace transform; PHASE-LAG MODEL; HARMONIC-WAVES; 2; TEMPERATURE; THERMOELASTICITY; BODIES;
D O I
10.1007/s10483-018-2339-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The main goal of this paper is to focus on the investigation of interaction between a magnetic field and elastic materials with microstructure, whose microelements possess microtemperatures with photothermal excitation. The elastic-photothermal problem in one-dimension is solved by introducing photothermal excitation at the free surface of a semi-infinite semiconducting medium (semiconductor rod). The integral transform technique is used to solve the governing equations of the problem under the effect of the microtemperature field. The analytical expressions for some physical quantities in the physical domain are obtained with the heating boundary surface and free traction. The numerical inversion technique is used to obtain the resulting quantities in the physical domain. The obtained numerical results with some comparisons are discussed and shown graphically.
引用
收藏
页码:783 / 796
页数:14
相关论文
共 26 条
[1]   A dual phase lag model on photothermal interaction in an unbounded semiconductor medium with cylindrical cavity [J].
Abbas, Ibrahim A. .
INTERNATIONAL JOURNAL OF COMPUTATIONAL MATERIALS SCIENCE AND ENGINEERING, 2016, 5 (03)
[2]   Two-temperature plane strain problem in a semiconducting medium under photothermal theory [J].
Abo-Dahab, S. M. ;
Lotfy, Kh. .
WAVES IN RANDOM AND COMPLEX MEDIA, 2017, 27 (01) :67-91
[3]   Some theorems in the isotropic theory of microstretch thermoelasticity with microtemperatures [J].
Aouadi, Moncef .
JOURNAL OF THERMAL STRESSES, 2008, 31 (07) :649-662
[4]   On the propagation waves in the theory of thermoelasticity with microtemperatures [J].
Chirita, Stan ;
Danescu, Alexandre .
MECHANICS RESEARCH COMMUNICATIONS, 2016, 75 :1-12
[5]   Plane harmonic waves in strongly elliptic thermoelastic materials with microtemperatures [J].
Ciarletta, M. ;
Passarella, F. ;
Tibullo, V. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 424 (02) :1186-1197
[6]   LONG-TRANSIENT EFFECTS IN LASERS WITH INSERTED LIQUID SAMPLES [J].
GORDON, JP ;
LEITE, RCC ;
MOORE, RS ;
PORTO, SPS ;
WHINNERY, JR .
JOURNAL OF APPLIED PHYSICS, 1965, 36 (01) :3-&
[7]   THERMODYNAMICS OF A CONTINUUM WITH MICROSTRUCTURE [J].
GROT, RA .
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1969, 7 (08) :801-&
[8]  
Hobiny A, 2016, mech. Time-Depend Mater, V6, P1
[9]   A METHOD FOR THE NUMERICAL INVERSION OF LAPLACE TRANSFORMS [J].
HONIG, G ;
HIRDES, U .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1984, 10 (01) :113-132
[10]   Thermoelasticity of bodies with microstructure and microtemperatures [J].
Iesan, D. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2007, 44 (25-26) :8648-8662