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Fractional thermoelasticity

Povstenko, Yuriy.

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Fractional thermoelasticity

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fractional thermoelasticity/ by Yuriy Povstenko.
作者:	Povstenko, Yuriy.
出版者:	Cham :Springer International Publishing : : 2024.,
面頁冊數:	xvii, 447 p. :ill. (some col.), digital ;24 cm.
內容註:	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
標題:	Thermoelasticity - Mathematical models. -
電子資源:	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

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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.
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