LEADER 03016nam 22005055 450 001 9910484550803321 005 20251113205443.0 010 $a3-030-63684-4 024 7 $a10.1007/978-3-030-63684-5 035 $a(CKB)4100000011772802 035 $a(DE-He213)978-3-030-63684-5 035 $a(MiAaPQ)EBC6480799 035 $a(PPN)253861756 035 $a(EXLCZ)994100000011772802 100 $a20210216d2021 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Catalogue of Computational Material Models $eBasic Geometrically Linear Models in 1D /$fby Paul Steinmann, Kenneth Runesson 205 $a1st ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021. 215 $a1 online resource (XII, 402 p. 187 illus.) 311 08$a3-030-63683-6 327 $a1. Introduction -- 2. Preliminaries -- 3. Elasticity -- 4. Visco-Elasticity -- 5. Plasticity -- 6. Visco-Plasticity. 330 $aThis book gives a comprehensive account of the formulation and computational treatment of basic geometrically linear models in 1D. To set the stage, it assembles some preliminaries regarding necessary modelling, computational and mathematical tools. Thereafter, the remaining parts are concerned with the actual catalogue of computational material models. To this end, after starting out with elasticity as a reference, further 15 different basic variants of material models (5 x each of {visco-elasticity, plasticity, visco-plasticity}, respectively) are systematically explored. The presentation for each of these basic material models is a stand-alone account and follows in each case the same structure. On the one hand, this allows, in the true sense of a catalogue, to consult each of the basic material models separately without the need to refer to other basic material models. On the other hand, even though this somewhat repetitious concept may seem tedious, it allows to compare the formulation and resulting algorithmic setting of the various basic material models and thereby to uncover, in detail, similarities and differences. In particular, the response of each basic material model is analysed for the identical histories (Zig-Zag, Sine, Ramp) of prescribed strain and stress so as to clearly showcase and to contrast to each other the characteristics of the various modelling options. 606 $aContinuum mechanics 606 $aRheology 606 $aContinuum Mechanics 606 $aRheology 615 0$aContinuum mechanics. 615 0$aRheology. 615 14$aContinuum Mechanics. 615 24$aRheology. 676 $a519.5 700 $aSteinmann$b Paul$f1885-1953,$01220946 702 $aRunesson$b Kenneth 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484550803321 996 $aThe catalogue of computational material models$92830455 997 $aUNINA