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Fractional Thermoelasticity
Author
Title
Fractional Thermoelasticity [electronic resource] / by Yuriy Povstenko.
ISBN
9783319153353
Publication
Cham : Springer International Publishing : Imprint: Springer, 2015.
Physical Description
XII, 253 p. 150 illus : online resource.
Local Notes
Access is available to the Yale community.
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Access restricted by licensing agreement.
Summary
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 with the long-range interaction. Fractional calculus, generalized Fourier law, axisymmetric and central symmetric problems and many relevant equations are featured in the book. The latest developments in the field are included and the reader is brought up to date with current research. The book contains a large number of figures, to show the characteristic features of temperature and stress distributions and to represent the whole spectrum of order of fractional operators. This work presents a picture of the state-of-the-art of fractional thermoelasticity and is suitable for specialists in applied mathematics, physics, geophysics, elasticity, thermoelasticity and engineering sciences. Corresponding sections of the book may also be used as additional reading material for courses on heat and mass transfer, continuum mechanics, thermal stresses as well as in fractional calculus and its applications for graduate and postgraduate students. Extensive references are included in order to stimulate further studies.
Variant and related titles
Springer eBooks.
Other formats
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
March 03, 2015
Series
Solid Mechanics and Its Applications, 219
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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