TY  - BOOK
AU  - Povstenko,Yuriy
ED  - SpringerLink (Online service)
TI  - Fractional Thermoelasticity
T2  - Solid Mechanics and Its Applications,
SN  - 9783031645877
AV  - TJ265 
PY  - 2024///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Thermodynamics
KW  - Heat engineering
KW  - Heat transfer
KW  - Mass transfer
KW  - Physics
KW  - Mathematical physics
KW  - Engineering Thermodynamics, Heat and Mass Transfer
KW  - Classical and Continuum Physics
KW  - Mathematical Physics
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-031-64587-7
ER  -