大葉大學圖書館 |

Fractional thermoelasticity[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	531.382
書名/作者:	Fractional thermoelasticity/ by Yuriy Povstenko.
作者:	Povstenko, Yuriy.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xii, 253 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Thermoelasticity - Mathematical models.
標題:	Fractional calculus.
標題:	Engineering.
標題:	Engineering Thermodynamics, Heat and Mass Transfer.
標題:	Classical Continuum Physics.
標題:	Mathematical Applications in the Physical Sciences.
ISBN:	9783319153353 (electronic bk.)
ISBN:	9783319153346 (paper)
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-15335-3

Fractional thermoelasticity[electronic resource] /
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 ;181..

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:

607045
Thermoelasticity
--Mathematical models.

LC Class. No.: QA933

Dewey Class. No.: 531.382

Fractional thermoelasticity[electronic resource] /
LDR:02921nam a2200325 a 4500 001 426699
003 DE-He213
005 20150921101337.0
006 m d
007 cr nn 008maaau
008 151119s2015 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 607044
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 607045
650 0 $a Fractional calculus. $3 405623
650 1 4 $a Engineering. $3 372756
650 2 4 $a Engineering Thermodynamics, Heat and Mass Transfer. $3 463870
650 2 4 $a Classical Continuum Physics. $3 463781
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 464932
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Solid mechanics and its applications ; $v 181. $3 464663
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-15335-3
950 $a Engineering (Springer-11647)