Overview
- Presents a timely work summing up literature on fractional thermoelasticity
- Make connections to several other generalized thermoelasticity theories and models
- Brings readers up to date with current research in fractional thermoelasticity
- Includes an extensive bibliography on the subject
- Includes supplementary material: sn.pub/extras
Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 219)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (9 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Authors and Affiliations
Bibliographic Information
Book Title: Fractional Thermoelasticity
Authors: Yuriy Povstenko
Series Title: Solid Mechanics and Its Applications
DOI: https://doi.org/10.1007/978-3-319-15335-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-15334-6Published: 24 March 2015
Softcover ISBN: 978-3-319-36704-0Published: 06 October 2016
eBook ISBN: 978-3-319-15335-3Published: 26 February 2015
Series ISSN: 0925-0042
Series E-ISSN: 2214-7764
Edition Number: 1
Number of Pages: XII, 253
Number of Illustrations: 150 b/w illustrations
Topics: Engineering Thermodynamics, Heat and Mass Transfer, Classical and Continuum Physics, Mathematical Applications in the Physical Sciences