LEADER 03371nam 2200649Ia 450 001 9911004823503321 005 20200520144314.0 010 $a1-107-19528-4 010 $a0-511-60204-9 010 $a0-511-81216-7 010 $a0-511-60335-5 010 $a0-511-65061-2 010 $a0-511-60257-X 010 $a0-511-60413-0 035 $a(CKB)1000000000804260 035 $a(EBL)461144 035 $a(OCoLC)609845757 035 $a(SSID)ssj0000340982 035 $a(PQKBManifestationID)11294092 035 $a(PQKBTitleCode)TC0000340982 035 $a(PQKBWorkID)10388824 035 $a(PQKB)10995194 035 $a(UkCbUP)CR9780511812163 035 $a(MiAaPQ)EBC461144 035 $a(PPN)261325302 035 $a(EXLCZ)991000000000804260 100 $a20050210d2009 fy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNon-linear modeling and analysis of solids and structures /$fSteen Krenk 210 $aCambridge, UK ;$aNew York $cCambridge University Press$d2009 215 $a1 online resource (x, 349 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-83054-0 320 $aIncludes bibliographical references and index. 327 $aCover; Title; Copyright; Dedication; Contents; Preface; 1 Introduction; 2 Non-linear bar elements; 3 Finite rotations; 4 Finite rotation beam theory; 5 Co-rotating beam elements; 6 Deformation and equilibrium of solids; 7 Elasto-plastic solids; 8 Numerical solution techniques; 9 Dynamic effects and time integration; References; Index 330 $aThis book presents a theoretical treatment of nonlinear behaviour of solids and structures in such a way that it is suitable for numerical computation, typically using the Finite Element Method. Starting out from elementary concepts, the author systematically uses the principle of virtual work, initially illustrated by truss structures, to give a self-contained and rigorous account of the basic methods. The author illustrates the combination of translations and rotations by finite deformation beam theories in absolute and co-rotation format, and describes the deformation of a three-dimensional continuum in material form. A concise introduction to finite elasticity is followed by an extension to elasto-plastic materials via internal variables and the maximum dissipation principle. Finally, the author presents numerical techniques for solution of the nonlinear global equations and summarises recent results on momentum and energy conserving integration of time-dependent problems. Exercises, examples and algorithms are included throughout. 606 $aStructural analysis (Engineering) 606 $aNumerical analysis 606 $aFinite element method 606 $aNonlinear theories 615 0$aStructural analysis (Engineering) 615 0$aNumerical analysis. 615 0$aFinite element method. 615 0$aNonlinear theories. 676 $a624.17101518 700 $aKrenk$b S$01823143 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911004823503321 996 $aNon-linear modeling and analysis of solids and structures$94389634 997 $aUNINA