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Fractional thermoelasticity

Povstenko, Yuriy.

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Fractional thermoelasticity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional thermoelasticity/ by Yuriy Povstenko.
Author:	Povstenko, Yuriy.
Published:	Cham :Springer International Publishing : : 2024.,
Description:	xvii, 447 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Thermoelasticity - Mathematical models. -
Online resource:	https://doi.org/10.1007/978-3-031-64587-7
ISBN:	9783031645877

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. 278..

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

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

1535290
Thermoelasticity
--Mathematical models.

LC Class. No.: QA933 / .P68 2024

Dewey Class. No.: 531.382

Fractional thermoelasticity
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100 1 $a Povstenko, Yuriy. $3 2134680
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 1535290
650 0 $a Fractional calculus. $3 898980
650 1 4 $a Engineering Thermodynamics, Heat and Mass Transfer. $3 1002079
650 2 4 $a Classical and Continuum Physics. $3 3218450
650 2 4 $a Mathematical Physics. $3 1542352
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Solid mechanics and its applications ; $v v. 278. $3 3753711
856 4 0 $u https://doi.org/10.1007/978-3-031-64587-7
950 $a Physics and Astronomy (SpringerNature-11651)