Two Dimensional Deformation of a Multilayered Thermoelastic Half-Space Due to Surface Loads and Heat Source
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Department of Mathematics, Kurukshetra University, Kurukshetra, 136119, India
Department of Mathematics, Govt. College for Women, Bhodia Khera, Fatehabad, 125050, India
Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, 125001, India
Online publication date: 2020-03-12
Publication date: 2020-03-01
International Journal of Applied Mechanics and Engineering 2020;25(1):177-197
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.
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