International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2533

Full Length Research Paper

A Mode-I crack problem for two-dimensional problem of a fiber-reinforced thermoelastic with normal mode analysis

Kh. Lotfy1 and Wafaa Hassan2,3*
1Department of Mathematics, Faculty of Science, Zagazig University, Zagazig P. O. Box 44519 Egypt. 2Department of Mathematics and Physics, Faculty of Engineering, Port Said Branch of Suez Canal University, Port Said, Egypt. 3Department of Mathematics, Faculty of Science and Arts, Al-mithnab, Qassim University,  P.O. Box 931, Buridah 51931, Al-mithnab,  Kingdom of Saudi Arabia
Email: [email protected]

  •  Accepted: 12 April 2013
  •  Published: 16 June 2013

Abstract

The aim of the present work is to investigate the influence of the Mode-I crack on the plane waves in a linearly fiber-reinforced. A general model of the equations of coupled theory (CD) and Lord-Shulman (L-S) theory with one relaxation time are applied to study the influence of reinforcement on the total deformation for an infinite space weakened by a finite linear opening Mode-I crack is solving. The material is homogeneous isotropic elastic half space. The crack is subjected to prescribed temperature and stress distribution. The normal mode analysis is used to obtain the exact expressions for the displacement components, force stresses and temperature. The variations of the considered variables with the horizontal distance are illustrated graphically. Comparisons are made with the results in two theories. A comparison also is made between the two theories for different depths.

 

Key words: Fiber-reinforced, Lord-Shulman theory, Mode-I crack, normal mode analysis, thermoelasticity.