Fractional thermoelasticity [electronic resource] / Yuriy Povstenko.

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Fractional thermoelasticity [electronic resource] / Yuriy Povstenko.

9783319153353 electronic book
3319153358 electronic book
9783319153346

Cham : Springer, 2015.

English

1 online resource (xii, 253 pages) : illustrations.

10.1007/978-3-319-15335-3 doi

QA933

531/.382

This book is devoted to fractional thermoelasticity, i.e. thermoelasticity based on the heat conduction equation with differential operators of fractional order. Readers will discover how time-fractional differential operators describe memory effects and space-fractional differential operators deal with the long-range interaction. Fractional calculus, generalized Fourier law, axisymmetric and central symmetric problems and many relevant equations are featured in the book. The latest developments in the field are included and the reader is brought up to date with current research. ℗ℓThe book contains a large number of figures, to show the characteristic features of temperature and stress distributions and to represent the whole spectrum of order of fractional operators.℗ℓ This work presents a picture of the state-of-the-art of fractional thermoelasticity and is suitable for specialists in applied mathematics, physics, geophysics, elasticity, thermoelasticity and engineering sciences. Corresponding sections of the book may also be used as additional reading material for courses on heat and mass transfer, continuum mechanics, thermal stresses as well as in fractional calculus and its applications for graduate and postgraduate students. Extensive references are included in order to stimulate further studies.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed March 5, 2015).

Solid mechanics and its applications ; volume 219.

Print version: 9783319153346

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