4.6 Article

Fractional order theory of thermoelasticity

Journal

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
Volume 47, Issue 2, Pages 269-275

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2009.09.034

Keywords

Generalized thermoelasticity; Fractional calculus; Uniqueness; Variational principle; Reciprocity theorem

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In this work, a new theory of thermoelasticity is derived using the methodology of fractional calculus. The theories of coupled thermoelasticity and of generalized thermoelasticity with one relaxation time follow as limit cases. A uniqueness theorem for this model is proved. A variational principle and a reciprocity theorem are derived. (C) 2009 Elsevier Ltd. All rights reserved.

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