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Response of a Semi-Infinite Microstretch Homogeneous Isotropic Body Under Thermal Shock

[+] Author and Article Information
Qi-Lin Xiong

MOE Key Laboratory of Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, Chinaxql.2001.11@stu.xjtu.edu.cn

Xiao-Geng Tian1

MOE Key Laboratory of Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, Chinatiansu@mail.xjtu.edu.cn

1

Corresponding author.

J. Appl. Mech 78(4), 044503 (Apr 14, 2011) (6 pages) doi:10.1115/1.4003429 History: Received July 09, 2010; Revised December 11, 2010; Posted January 12, 2011; Published April 14, 2011; Online April 14, 2011

In this paper, the thermoelastic problem of a semi-infinite microstretch homogeneous isotropic body is investigated in the context of different theories of generalized thermoelasticity. The surface of the semi-infinite body is subjected to a zonal time-dependent heat shock. The problem is solved by using a finite element method. The results, regarding temperature, stresses, displacements, microrotation, and microstretch, are presented graphically. Comparisons are made among the results derived from different generalized thermoelastic theories to show that the micropolar effect has a slight influence on the results while the microstretch effect has a great influence.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Three-dimensional model

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Figure 2

Temperature θ distribution at x=0 versus z at different times

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Figure 3

Stress σzz distribution at x=0 versus z at different times

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Figure 4

Displacement Uz distribution at x=0 versus z at different times

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Figure 5

Displacement Ux distribution at z=0 versus x at different times

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Figure 6

Microrotation φ distribution at z=0 versus x at different times

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Figure 7

Microstretch ϕ∗ distribution at x=0 versus z at different times

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