國立高雄大學圖資館 |

Language: English

Back

Fractional thermoelasticity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional thermoelasticityby Yuriy Povstenko.
Author:	Povstenko, Yuriy.
Published:	Cham :Springer International Publishing :2024.
Description:	xvii, 447 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	ThermoelasticityMathematical models.
Online resource:	https://doi.org/10.1007/978-3-031-64587-7
ISBN:	9783031645877$q(electronic bk.)

Fractional thermoelasticity
Povstenko, Yuriy.

Fractional thermoelasticity[electronic resource] /by Yuriy Povstenko. - Second edition. - Cham :Springer International Publishing :2024. - xvii, 447 p. :ill. (some col.), digital ;24 cm. - Solid mechanics and its applications,v. 2782214-7764 ;. - Solid mechanics and its applications ;v. 152..

1. Essentials 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.

This new edition presents an expanded coverage of fractional calculus, including topics such as Riemann-Liouville fractional integrals, Riemann-Liouville and Caputo fractional derivatives, Riesz fractional operators, and Mittag-Leffler functions and Wright functions. Additionally, this revised edition provides a comprehensive examination of fractional heat conduction and its related theories of thermoelasticity. The reader will gain insights into the concepts of time and space nonlocality, as well as their impact on the generalizations of the Fourier law in thermoelasticity. New insights into radial heat conduction in a sphere were also added; this edition presents a detailed formulation of the problem of radial heat conduction in a sphere and the associated thermal stresses. It covers topics such as the fundamental solution to the Dirichlet problem, constant boundary conditions for temperature, and the fundamental solution to the physical Neumann problem.

ISBN: 9783031645877$q(electronic bk.)

Standard No.: 10.1007/978-3-031-64587-7doiSubjects--Topical Terms:

714229
Thermoelasticity
--Mathematical models.

LC Class. No.: QA933 / .P68 2024

Dewey Class. No.: 531.382

Fractional thermoelasticity
LDR:02436nmm a22003615a 4500 001 668270
003 DE-He213
005 20240826124738.0
006 m d
007 cr nn 008maaau
008 250107s2024 sz s 0 eng d
020 $a 9783031645877$q(electronic bk.)
020 $a 9783031645860$q(paper)
024 7 $a 10.1007/978-3-031-64587-7 $2 doi
035 $a 978-3-031-64587-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA933 $b .P68 2024
072 7 $a TGMB $2 bicssc
072 7 $a SCI065000 $2 bisacsh
072 7 $a TGMB $2 thema
082 0 4 $a 531.382 $2 23
090 $a QA933 $b .P879 2024
100 1 $a Povstenko, Yuriy. $3 714228
245 1 0 $a Fractional thermoelasticity $h [electronic resource] / $c by Yuriy Povstenko.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a xvii, 447 p. : $b ill. (some col.), digital ; $c 24 cm.
347 $a text file $b PDF $2 rda
490 1 $a Solid mechanics and its applications, $x 2214-7764 ; $v v. 278
505 0 $a 1. Essentials 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.
520 $a This new edition presents an expanded coverage of fractional calculus, including topics such as Riemann-Liouville fractional integrals, Riemann-Liouville and Caputo fractional derivatives, Riesz fractional operators, and Mittag-Leffler functions and Wright functions. Additionally, this revised edition provides a comprehensive examination of fractional heat conduction and its related theories of thermoelasticity. The reader will gain insights into the concepts of time and space nonlocality, as well as their impact on the generalizations of the Fourier law in thermoelasticity. New insights into radial heat conduction in a sphere were also added; this edition presents a detailed formulation of the problem of radial heat conduction in a sphere and the associated thermal stresses. It covers topics such as the fundamental solution to the Dirichlet problem, constant boundary conditions for temperature, and the fundamental solution to the physical Neumann problem.
650 0 $a Thermoelasticity $x Mathematical models. $3 714229
650 0 $a Fractional calculus. $3 208302
650 1 4 $a Engineering Thermodynamics, Heat and Mass Transfer. $3 338996
650 2 4 $a Classical and Continuum Physics. $3 771188
650 2 4 $a Mathematical Physics. $3 522725
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Solid mechanics and its applications ; $v v. 152. $3 513892
856 4 0 $u https://doi.org/10.1007/978-3-031-64587-7
950 $a Physics and Astronomy (SpringerNature-11651)