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Fractional Thermoelasticity / by Yuriy Povstenko.
Springer Nature - Springer Physics and Astronomy eBooks 2024 English International Available online
View online- Format:
- Book
- Author/Creator:
- Povstenko, Yuriy.
- Series:
- Solid Mechanics and Its Applications, 2214-7764 ; 278
- Language:
- English
- Subjects (All):
- Thermodynamics.
- Heat engineering.
- Heat--Transmission.
- Heat.
- Mass transfer.
- Physics.
- Mathematical physics.
- Engineering Thermodynamics, Heat and Mass Transfer.
- Classical and Continuum Physics.
- Mathematical Physics.
- Local Subjects:
- Engineering Thermodynamics, Heat and Mass Transfer.
- Classical and Continuum Physics.
- Mathematical Physics.
- Physical Description:
- 1 online resource (457 pages)
- Edition:
- 2nd ed. 2024.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2024.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-031-64587-1
- OCLC:
- 1454587793
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