LEADER 03563nam 22008055 450 001 9910146298803321 005 20250731082537.0 010 $a3-540-69689-X 024 7 $a10.1007/BFb0096273 035 $a(CKB)1000000000437331 035 $a(SSID)ssj0000324637 035 $a(PQKBManifestationID)12091436 035 $a(PQKBTitleCode)TC0000324637 035 $a(PQKBWorkID)10314291 035 $a(PQKB)10592833 035 $a(DE-He213)978-3-540-69689-6 035 $a(MiAaPQ)EBC5578671 035 $a(MiAaPQ)EBC6692840 035 $a(Au-PeEL)EBL5578671 035 $a(OCoLC)1066178825 035 $a(Au-PeEL)EBL6692840 035 $a(PPN)155175084 035 $a(EXLCZ)991000000000437331 100 $a20121227d1998 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMaterials with Memory $eInitial-Boundary Value Problems for Constitutive Equations with Internal Variables /$fby Hans-Dieter Alber 205 $a1st ed. 1998. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998. 215 $a1 online resource (X, 170 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1682 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-64066-5 327 $aInitial-boundary value problems for the inelastic behavior of metals -- Constitutive equations of monotone type and generalized standard materials -- Existence of solutions for constitutive equations of monotone type -- Transformation of interior variables -- Classification conditions -- Transformation of rate independent constitutive equations -- Application of the theory to engineering models -- Open problems and related results. 330 $aThis book contributes to the mathematical theory of systems of differential equations consisting of the partial differential equations resulting from conservation of mass and momentum, and of constitutive equations with internal variables. The investigations are guided by the objective of proving existence and uniqueness, and are based on the idea of transforming the internal variables and the constitutive equations. A larger number of constitutive equations from the engineering sciences are presented. The book is therefore suitable not only for specialists, but also for mathematicians seeking for an introduction in the field, and for engineers with a sound mathematical background. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1682 606 $aMathematical analysis 606 $aMechanical engineering 606 $aDifferential equations 606 $aMechanics, Applied 606 $aMechanics 606 $aAnalysis 606 $aMechanical Engineering 606 $aDifferential Equations 606 $aEngineering Mechanics 606 $aClassical Mechanics 615 0$aMathematical analysis. 615 0$aMechanical engineering. 615 0$aDifferential equations. 615 0$aMechanics, Applied. 615 0$aMechanics. 615 14$aAnalysis. 615 24$aMechanical Engineering. 615 24$aDifferential Equations. 615 24$aEngineering Mechanics. 615 24$aClassical Mechanics. 676 $a531 686 $a73F15$2msc 686 $a73E50$2msc 700 $aAlber$b Hans-Dieter$f1949-$061729 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146298803321 996 $aMaterials with memory$9261848 997 $aUNINA LEADER 01546oas 2200565 a 450 001 9910878301403321 005 20251106213014.0 011 $a1607-1069 035 $a(DE-599)ZDB2467978-1 035 $a(DE-599)ZDB2467976-8 035 $a(OCoLC)315069931 035 $a(CONSER) 2009253067 035 $a(CKB)1000000000808973 035 $a(EXLCZ)991000000000808973 100 $a20020805b20012009 uy 101 0 $aeng 135 $aur|nu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe College of the Bahamas research journal 210 $aNassau, Bahamas $cCollege of the Bahamas 215 $a1 online resource 300 $aRefereed/Peer-reviewed 311 08$a2070-2825 531 1 $aColl. Bahamas res. j 606 $aSocial sciences$vPeriodicals 606 $aSocial sciences$2fast$3(OCoLC)fst01122877 607 $aBahamas$vPeriodicals 607 $aBahamas$2fast$1https://id.oclc.org/worldcat/entity/E39QbtfRFVgRdH6vCcBwM3YpmM 608 $aPeriodicals.$2fast 615 0$aSocial sciences 615 7$aSocial sciences. 712 02$aCollege of the Bahamas. 801 0$bAU@ 801 1$bAU@ 801 2$bWAU 801 2$bOCLCQ 801 2$bOCLCF 801 2$bCUS 801 2$bOCLCO 801 2$bOCLCQ 801 2$bOCLCA 801 2$bOCLCQ 801 2$bOCLCL 801 2$bOCLCQ 906 $aJOURNAL 912 $a9910878301403321 996 $aThe College of the Bahamas research journal$94205882 997 $aUNINA