000 02985cam a22003375i 4500
001 039104
003 BAU
005 20240114201251.0
008 151222t20152015gw | |||| 0|eng d
020 _a9783319153346
035 _a(OCoLC)
040 _dBAU
_aWaSeSS
_beng
_cWaSeSS
_erda
049 _aBAU_MERKEZ
050 4 _aTA418.5
_bP68 2015
082 0 4 _223
100 1 _aPovstenko, Yuriy.
245 1 0 _aFractional Thermoelasticity
_cby Yuriy Povstenko.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.©2015.
264 4 _c©2015.
300 _axii, 253 pages :
_billustrations ;
_c25 cm
336 _2rdacontent
_atext
_btxt
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
347 _atext file
_bPDF
_2rda
490 1 _aSolid Mechanics and Its Applications,
_x0925-0042 ;
_v219
505 0 _aPreface
_t-- 1 Essential of Fractional Calculus
_t-- 2 Fractional Heat Conduction and Related Theories of Thermoelasticity
_t-- 3 Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Polar Coordinates
_t-- 4 Axisymmetric Problems in Cylindrical Coordinates
_t-- 5 Thermoelasticity Based on Time-Fractional Heat Conduction Equation in Spherical Coordinates
_t-- 6 Thermoelasticity Based on Space-Time-Fractional Heat Conduction Equation
_t-- 7 Thermoelasticity Based on Fractional Telegraph Equation
_t-- 8 Fractional Thermoelasticity of Thin Shells
_t-- 9 Fractional Advection-Diffusion Equation and Associated Diffusive Stresses.-Index.
520 _aThis 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.  The 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.  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.
650 0 _aEngineering.
830 0 _967335
_aSolid mechanics and its applications ;
_v219
942 _2lcc
_cKT
999 _c35500
_d35500