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Fractional Thermoelasticity

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eBook. PDF

eBook

2., Second Edition 2024. 2024

447 S. XVII, 447 p. 221 illus., 75 illus. in color..

In englischer Sprache

Springer International Publishing. ISBN 978-3-031-64587-7

Das Werk ist Teil der Reihe: Solid Mechanics and Its Applications

Produktbeschreibung

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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