Two Dimensional Deformation of a Multilayered Thermoelastic Half-Space Due to Surface Loads and Heat Source

Author:

Vashishth A.K.1,Rani K.2,Singh K.3

Affiliation:

1. Department of Mathematics , Kurukshetra University , Kurukshetra 136119 , India

2. Department of Mathematics , Govt. College for Women , Bhodia Khera, Fatehabad 125050 , India

3. Department of Mathematics , Guru Jambheshwar University of Science and Technology , Hisar 125001 , India

Abstract

Abstract This article deals with a 2-D problem of quasi-static deformation of a multilayered thermoelastic medium due to surface loads and heat source. The propagator matrix is obtained for the multilayered formalism of thermoelastic layers. Analytical solutions, in terms of the displacements, stresses, heat flux and temperature function, are obtained for normal strip and line loads, shear strip and line loads and strip and line heat sources. Numerical computation of the obtained analytical expressions is also done. The effects of layering have been studied. For the verification of the results, results of earlier studies have been obtained as particular cases of the present study.

Publisher

Walter de Gruyter GmbH

Subject

Fluid Flow and Transfer Processes,Transportation,Civil and Structural Engineering

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