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Effect of Rotation for Two-Temperature Generalized Thermoelasticity of Two-Dimensional under Thermal Shock Problem
Faculty
Science
Year:
2013
Type of Publication:
Article
Pages:
Authors:
Lotfy, Kh, Hassan, Andwafaa
DOI:
10.1155/2013/297274
Journal:
MATHEMATICAL PROBLEMS IN ENGINEERING HINDAWI PUBLISHING CORPORATION
Volume:
Research Area:
Engineering; Mathematics
ISSN
ISI:000327642100001
Keywords :
Effect , Rotation , Two-Temperature Generalized Thermoelasticity , Two-Dimensional
Abstract:
The theory of two-temperature generalized thermoelasticity based on the theory of Youssef is used to solve boundary value problems of two-dimensional half-space. The governing equations are solved using normal mode method under the purview of the Lord-Shulman (LS) and the classical dynamical coupled theory (CD). The general solution obtained is applied to a specific problem of a half-space subjected to one type of heating, the thermal shock type. We study the influence of rotation on the total deformation of thermoelastic half-space and the interaction with each other under the influence of two temperature theory. The material is homogeneous isotropic elastic half-space. The methodology applied here is use of the normal mode analysis techniques that are used to solve the resulting nondimensional coupled field equations for the two theories. Numerical results for the displacement components, force stresses, and temperature distribution are presented graphically and discussed. The conductive temperature, the dynamical temperature, the stress, and the strain distributions are shown graphically with some comparisons.
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