國立高雄大學圖資館 |

Language: English

Back

Fractional thermoelasticity

Povstenko, Yuriy.

Fractional thermoelasticity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional thermoelasticityby Yuriy Povstenko.
Author:	Povstenko, Yuriy.
Published:	Cham :Springer International Publishing :2015.
Description:	xii, 253 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	ThermoelasticityMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-15335-3
ISBN:	9783319153353 (electronic bk.)

Fractional thermoelasticity
Povstenko, Yuriy.

Fractional thermoelasticity[electronic resource] /by Yuriy Povstenko. - Cham :Springer International Publishing :2015. - xii, 253 p. :ill., digital ;24 cm. - Solid mechanics and its applications,v.2190925-0042 ;. - Solid mechanics and its applications ;v. 152..

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.

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.

ISBN: 9783319153353 (electronic bk.)

Standard No.: 10.1007/978-3-319-15335-3doiSubjects--Topical Terms:

714229
Thermoelasticity
--Mathematical models.

LC Class. No.: QA933

Dewey Class. No.: 531.382

Fractional thermoelasticity
LDR:02921nmm a2200325 a 4500 001 461839
003 DE-He213
005 20150921101337.0
006 m d
007 cr nn 008maaau
008 151110s2015 gw s 0 eng d
020 $a 9783319153353 (electronic bk.)
020 $a 9783319153346 (paper)
024 7 $a 10.1007/978-3-319-15335-3 $2 doi
035 $a 978-3-319-15335-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QA933
072 7 $a TGMB $2 bicssc
072 7 $a SCI065000 $2 bisacsh
082 0 4 $a 531.382 $2 23
090 $a QA933 $b .P879 2015
100 1 $a Povstenko, Yuriy. $3 714228
245 1 0 $a Fractional thermoelasticity $h [electronic resource] / $c by Yuriy Povstenko.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xii, 253 p. : $b ill., digital ; $c 24 cm.
490 1 $a Solid mechanics and its applications, $x 0925-0042 ; $v v.219
505 0 $a 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.
520 $a 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.
650 0 $a Thermoelasticity $x Mathematical models. $3 714229
650 0 $a Fractional calculus. $3 208302
650 1 4 $a Engineering. $3 210888
650 2 4 $a Engineering Thermodynamics, Heat and Mass Transfer. $3 338996
650 2 4 $a Classical Continuum Physics. $3 376493
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 522718
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Solid mechanics and its applications ; $v v. 152. $3 513892
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-15335-3
950 $a Engineering (Springer-11647)