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- Title
Fractional-order generalized thermoelastic diffusion theory.
- Authors
Xiong, Chunbao; Niu, Yanbo
- Abstract
The present work aims to establish a fractional-order generalized themoelastic diffusion theory for anisotropic and linearly thermoelastic diffusive media. To numerically handle the multi-physics problems expressed by a sequence of incomplete differential equations, particularly by a fractional equation, a generalized variational principle is obtained for the unified theory using a semi-inverse method. In numerical implementation, the dynamic response of a semi-infinite medium with one end subjected to a thermal shock and a chemical potential shock is investigated using the Laplace transform. Numerical results, i.e., non-dimensional temperature, chemical potential, and displacement, are presented graphically. The influence of the fractional order parameter on them is evaluated and discussed.
- Subjects
DIFFUSION; THERMOELASTICITY; FRACTIONAL calculus; VARIATIONAL principles; LAPLACE transformation
- Publication
Applied Mathematics & Mechanics, 2017, Vol 38, Issue 8, p1091
- ISSN
0253-4827
- Publication type
Article
- DOI
10.1007/s10483-017-2230-9