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Mathematical Problems in Engineering
Volume 2013, Article ID 456375, 6 pages
http://dx.doi.org/10.1155/2013/456375
Research Article

Research on the Thermal Cavitation Problem of a Preexisting Microvoid in a Viscoelastic Sphere

1Department of Applied Mechanics, University of Science and Technology Beijing, Beijing 100083, China
2School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, China

Received 14 June 2013; Revised 6 September 2013; Accepted 7 September 2013

Academic Editor: Xinzhu Meng

Copyright © 2013 Yajuan Chen and Xinchun Shang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The cavitation problem of a preexisting microvoid in the incompressible viscoelastic sphere subjected to the uniform temperature field was studied in this paper. Based on the finite logarithmic strain measure for geometrically large deformation, the nonlinear mathematical model of this problem was established by employing the Kelvin-Voigt differential type constitutive equation of thermoviscoelasticity. Adopting the dimensionless transformation of each parameter, growth curves of the microvoid radius increasing with the temperature were given. And the results indicated that the generation of cavity could be regarded as the idealized model of microvoid growth. A parametric study, including the influences of the external temperature, the initial microvoid radius, and the material parameter on the microvoid radius, was also conducted. The sudden growth of infinitely large sphere with a preexisting microvoid could also achieved by the finitely large sphere.