03452nam a22005895i 4500 978-3-031-64587-7 DE-He213 20251030112912.0 cr nn 008mamaa 240826s2024 sz | s |||| 0|eng d 9783031645877 978-3-031-64587-7 10.1007/978-3-031-64587-7 doi TJ265 TP156.M3 TGMB bicssc SCI065000 bisacsh TGMB thema Povstenko, Yuriy. author. aut http://id.loc.gov/vocabulary/relators/aut 82896 Fractional Thermoelasticity [electronic resource] / by Yuriy Povstenko. 2nd ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XVII, 447 p. 221 illus., 75 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Solid Mechanics and Its Applications, 2214-7764 ; 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. Thermodynamics. 66400 Heat engineering. 66401 Heat transfer. 66402 Mass transfer. 66403 Physics. 61293 Mathematical physics. Engineering Thermodynamics, Heat and Mass Transfer. 66405 Classical and Continuum Physics. 68791 Mathematical Physics. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031645860 Printed edition: 9783031645884 Printed edition: 9783031645891 Solid Mechanics and Its Applications, 2214-7764 ; 278 68533 https://doi.org/10.1007/978-3-031-64587-7 ZDB-2-PHA ZDB-2-SXP 62738 62738