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Thermodiffusion in a deformable solid: fractional calculus approach

From the book Volume 4 Applications in Physics, Part A

  • Yuriy Povstenko


Methods of continuum mechanics and irreversible thermodynamics are used to describe heat conduction and diffusion in a deformable body. The balance equations and the equations of state are formulated. Nonlocal generalizations of the Fourier law in the theory of heat conduction and of the Fick equation in the theory of diffusion are analyzed. Theory of thermodiffusive stresses in a deformable solid is formulated, based on the heat conduction equation and the diffusion equation with derivatives of fractional order.

© 2019 Walter de Gruyter GmbH, Berlin/Munich/Boston
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