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020 _a9783031645877
_9978-3-031-64587-7
024 7 _a10.1007/978-3-031-64587-7
_2doi
050 4 _aTJ265
050 4 _aTP156.M3
072 7 _aTGMB
_2bicssc
072 7 _aSCI065000
_2bisacsh
072 7 _aTGMB
_2thema
100 1 _aPovstenko, Yuriy.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_982896
245 1 0 _aFractional Thermoelasticity
_h[electronic resource] /
_cby Yuriy Povstenko.
250 _a2nd ed. 2024.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2024.
300 _aXVII, 447 p. 221 illus., 75 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSolid Mechanics and Its Applications,
_x2214-7764 ;
_v278
505 0 _a1. 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.
520 _aThis 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.
650 0 _aThermodynamics.
_966400
650 0 _aHeat engineering.
_966401
650 0 _aHeat transfer.
_966402
650 0 _aMass transfer.
_966403
650 0 _aPhysics.
_961293
650 0 _aMathematical physics.
650 1 4 _aEngineering Thermodynamics, Heat and Mass Transfer.
_966405
650 2 4 _aClassical and Continuum Physics.
_968791
650 2 4 _aMathematical Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031645860
776 0 8 _iPrinted edition:
_z9783031645884
776 0 8 _iPrinted edition:
_z9783031645891
830 0 _aSolid Mechanics and Its Applications,
_x2214-7764 ;
_v278
_968533
856 4 0 _uhttps://doi.org/10.1007/978-3-031-64587-7
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c62738
_d62738