LEADER 02985nam 2200625 450 001 996466864803316 005 20220421142418.0 010 $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 $a20220421d1998 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMaterials with memory $einitial-boundary value problems for constitutive equations with internal variables /$fHans-Dieter Alber 205 $a1st ed. 1998. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1998] 210 4$dİ1998 215 $a1 online resource (X, 170 p.) 225 1 $aLecture Notes in Mathematics ;$v1682 300 $aBibliographic Level Mode of Issuance: Monograph 311 $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 (Springer-Verlag) ;$v1682. 606 $aContinuum mechanics 606 $aInitial value problems 615 0$aContinuum mechanics. 615 0$aInitial value problems. 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 $a996466864803316 996 $aMaterials with memory$9261848 997 $aUNISA