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Fractional order theory of thermoelasticity

✍ Scribed by Hany H. Sherief; A.M.A. El-Sayed; A.M. Abd El-Latief

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
226 KB
Volume
47
Category
Article
ISSN
0020-7683

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Variational principle of fractional orde
Variational principle of fractional order generalized thermoelasticity
✍ Hamdy M. Youssef; Eman A. Al-Lehaibi πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 240 KB

Recently, Youssef constructed a new theory of fractional order generalized thermoelasticity by taking into account the theory of heat conduction in deformable bodies, which depends upon the idea of the Riemann-Liouville fractional integral operator. In this paper, the variational theorem is obtained