LEADER 02847oam 2200445 450 001 996466737303316 005 20210708233258.0 010 $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 $a20210708d2021 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe catalogue of computational material models $ebasic geometrically linear models in 1D /$fPaul Steinmann; Kenneth Runesson 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (XII, 402 p. 187 illus.) 311 $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 $aLinear models (Statistics) 615 0$aLinear models (Statistics) 676 $a519.5 700 $aSteinmann$b Paul$f1885-1953,$01220946 702 $aRunesson$b Kenneth 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bUtOrBLW 906 $aBOOK 912 $a996466737303316 996 $aThe catalogue of computational material models$92830455 997 $aUNISA