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Eigenvalue approach for an unbounded medium with a spherical cavity based upon two-temperature generalized thermoelastic theory

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Abstract

The thermoelastic interaction in an unbounded medium with a spherical cavity is studied using two-temperature generalized thermoelasticity theory. The medium is assumed to be initially quiescent. The inner surface of the cavity is taken traction free and subjected to a thermal shock. By the Laplace transformation, the basic equations are expressed in the form of a vector-matrix differential equation, which is solved by an eigenvalue approach. Some comparison have been shown in figures to estimate the effect of the two-temperature parameter.

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Authors and Affiliations

  1. Dep. Mathematics, Faculty of Science and Arts - Khulais, King Abdulaziz University, Jeddah, Saudi Arabia

    Ibrahim A. Abbas

  2. Department of mathematics, Faculty of Science, Sohag University, Sohag, Egypt

    Ibrahim A. Abbas

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  1. Ibrahim A. Abbas
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Correspondence to Ibrahim A. Abbas.

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Recommended by Associate Editor Seong Beom Lee

Ibrahim A. Abbas Was born on November 20, 1971 in Sohag Egypt. In 2004, he received Ph.D. in Mathematics at South valley University, Egypt. Member of the Egyptian Mathematical Society. At present, his affiliation is the Sohag University, Egypt. He works in the field of theory of thermoelasticity and fluid mechanics by finite element method and eigenvalue approach. He has published 100 papers in international journals and 8 conference papers. His more detailed CV can be found in “Who’s Who in Science and Engineering.

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Abbas, I.A. Eigenvalue approach for an unbounded medium with a spherical cavity based upon two-temperature generalized thermoelastic theory. J MECH SCI TECHNOL 28, 4193–4198 (2014). https://doi.org/10.1007/s12206-014-0932-6

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  • DOI: https://doi.org/10.1007/s12206-014-0932-6

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