MODELING OF VARIABLE LAMɀ™S MODULII FOR A FGM GENERALIZED THERMOELASTIC HALF SPACE

Authors

  • H. SHERIEF
  • A. M. ABD EL-LATIEF

Keywords:

HALF SPACE, GENERALIZED THERMOELASTICITY, PERTURBATION METHOD, FGM, VARIABLE LAM這S MODULII.

Abstract

IN THIS WORK WE CONSIDER A PROBLEM IN THE CONTEXT OF THE GENERALIZED THEORY OF THERMOELASTICITY FOR A HALF SPACE. THE MATERIAL OF THE HALF SPACE IS FUNCTIONALLY GRADED IN WHICH LAMéÂS MODULII ARE FUNCTIONS OF THE VERTICAL DISTANCE FROM THE SURFACE OF THE MEDIUM. THE SURFACE IS TRACTION FREE AND SUBJECTED TO A TIME DEPENDENT THERMAL SHOCK. THE PROBLEM WAS SOLVED BY USING THE LAPLACE TRANSFORM METHOD TOGETHER WITH THE PERTURBATION TECHNIQUE. THE OBTAINED RESULTS ARE DISCUSSED AND COMPARED WITH THE SOLUTION WHEN LAMéÂS MODULII ARE CONSTANTS. NUMERICAL RESULTS ARE COMPUTED AND REPRESENTED GRAPHICALLY FOR THE TEMPERATURE, DISPLACEMENT AND STRESS DISTRIBUTIONS.

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Published

2016-02-17

Issue

Section

Articles