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Applied Mathematics and Mechanics

, Volume 39, Issue 6, pp 783–796 | Cite as

Thermomagnetic effect with microtemperature in a semiconducting photothermal excitation medium

  • K. Lotfy
  • R. Kumar
  • W. Hassan
  • M. Gabr
Article
  • 38 Downloads

Abstract

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.

Key words

photothermal theory carrier density magnetic field microtemperature Laplace transform 

Chinese Library Classification

O343 

2010 Mathematics Subject Classification

74B10 

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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceZagazig UniversityZagazigEgypt
  2. 2.Department of MathematicsKurukshetra UniversityKurukshetraIndia
  3. 3.Mathematics and Physics Department, Faculty of EngineeringPort Said UniversityPort SaidEgypt

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