Variational principle of fractional order generalized thermoelasticity
โ Scribed by Hamdy M. Youssef; Eman A. Al-Lehaibi
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 240 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0893-9659
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โฆ Synopsis
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 for the generalized thermoelasticity model for a homogeneous and isotropic body.
๐ SIMILAR VOLUMES
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
A new method for establishing generalized variational principles, called the undetermined coefficient method, is presented. A more general form of functional for the generalized variational principles in elasticity and a concept of energy functional space are given. Based on the present functional,