4.7 Article

On the discontinuity solution of the Lord-Shulman model in generalized thermoelasticity

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 219, Issue 20, Pages 10245-10252

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2013.03.127

Keywords

Generalized thermoelasticity; Lord-Shulman model; Eigenvalue approach; Asymptotic expansion

Funding

  1. European Commission for the award of Erasmus Mundus Ph.D. Scholarship at the University of Warsaw, Poland

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The fundamental equations of the problem of generalized thermoelasticity with one relaxation time parameter including heat sources have been written in the form of a vector-matrix differential equation in the Laplace transform domain and then solved by the eigenvalue approach. The inverse transforms for the field variables are obtained in an approximate manner using asymptotic expansion valid for short times. (C) 2013 Elsevier Inc. All rights reserved.

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