LEADER 04630nam 22007455 450 001 9910299697503321 005 20220404183225.0 010 $a3-319-15335-8 024 7 $a10.1007/978-3-319-15335-3 035 $a(CKB)3710000000360315 035 $a(EBL)1998152 035 $a(OCoLC)904248940 035 $a(SSID)ssj0001452088 035 $a(PQKBManifestationID)11808768 035 $a(PQKBTitleCode)TC0001452088 035 $a(PQKBWorkID)11480156 035 $a(PQKB)11271491 035 $a(DE-He213)978-3-319-15335-3 035 $a(MiAaPQ)EBC1998152 035 $a(PPN)184497582 035 $a(EXLCZ)993710000000360315 100 $a20150226d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractional thermoelasticity /$fby Yuriy Povstenko 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (261 p.) 225 1 $aSolid Mechanics and Its Applications,$x0925-0042 ;$v219 300 $aDescription based upon print version of record. 311 $a3-319-15334-X 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aPreface -- 1 Essential 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 -- 6 Thermoelasticity Based on Space-Time-Fractional Heat Conduction Equation -- 7 Thermoelasticity Based on Fractional Telegraph Equation -- 8 Fractional Thermoelasticity of Thin Shells -- 9 Fractional Advection-Diffusion Equation and Associated Diffusive Stresses.-Index. 330 $aThis book is devoted to fractional thermoelasticity, i.e. thermoelasticity based on the heat conduction equation with differential operators of fractional order. Readers will discover how time-fractional differential operators describe memory effects and space-fractional differential operators deal with the long-range interaction. Fractional calculus, generalized Fourier law, axisymmetric and central symmetric problems and many relevant equations are featured in the book. The latest developments in the field are included and the reader is brought up to date with current research.  The book contains a large number of figures, to show the characteristic features of temperature and stress distributions and to represent the whole spectrum of order of fractional operators.  This work presents a picture of the state-of-the-art of fractional thermoelasticity and is suitable for specialists in applied mathematics, physics, geophysics, elasticity, thermoelasticity and engineering sciences. Corresponding sections of the book may also be used as additional reading material for courses on heat and mass transfer, continuum mechanics, thermal stresses as well as in fractional calculus and its applications for graduate and postgraduate students. Extensive references are included in order to stimulate further studies. 410 0$aSolid Mechanics and Its Applications,$x0925-0042 ;$v219 606 $aThermodynamics 606 $aHeat engineering 606 $aHeat$xTransmission 606 $aMass transfer 606 $aField theory (Physics) 606 $aMathematical physics 606 $aEngineering Thermodynamics, Heat and Mass Transfer$3https://scigraph.springernature.com/ontologies/product-market-codes/T14000 606 $aClassical and Continuum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P2100X 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aThermodynamics. 615 0$aHeat engineering. 615 0$aHeat$xTransmission. 615 0$aMass transfer. 615 0$aField theory (Physics) 615 0$aMathematical physics. 615 14$aEngineering Thermodynamics, Heat and Mass Transfer. 615 24$aClassical and Continuum Physics. 615 24$aMathematical Applications in the Physical Sciences. 676 $a515.353 700 $aPovstenko$b Yuriy$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720572 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299697503321 996 $aFractional Thermoelasticity$91412216 997 $aUNINA