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Fractional Thermoelasticity

This book is devoted to fractional thermoelasticity, i.e. thermoelasticity based on the heat conduction equation with differential operators of fractional order. Readers will discover how time-fractional differential operators describe memory effects and space-fractional differential operators deal...

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Main Author: Povstenko, Yuriy. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Solid Mechanics and Its Applications, 219
Subjects:
Thermodynamics.
Heat engineering.
Heat transfer.
Mass transfer.
Continuum physics.
Mathematical physics.
Engineering Thermodynamics, Heat and Mass Transfer.
Classical and Continuum Physics.
Mathematical Applications in the Physical Sciences.
Online Access:https://doi.org/10.1007/978-3-319-15335-3
Table of Contents:
  • Preface
  • 1 Essential of Fractional Calculus
  • 2 Fractional Heat Conduction and Related Theories of Thermoelasticity
  • 3 Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Polar Coordinates
  • 4 Axisymmetric Problems in Cylindrical Coordinates
  • 5 Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Spherical Coordinates
  • 6 Thermoelasticity Based on Space-Time-Fractional Heat Conduction Equation
  • 7 Thermoelasticity Based on Fractional Telegraph Equation
  • 8 Fractional Thermoelasticity of Thin Shells
  • 9 Fractional Advection-Diffusion Equation and Associated Diffusive Stresses.-Index.

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