LEADER 03198nam 2200421 450 001 9910624301603321 005 20230320101810.0 010 $a9783031142017$b(electronic bk.) 010 $z9783031142000 035 $a(MiAaPQ)EBC7133734 035 $a(Au-PeEL)EBL7133734 035 $a(CKB)25299360300041 035 $a(PPN)266355676 035 $a(EXLCZ)9925299360300041 100 $a20230320d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aElements of classical plasticity theory /$fAndreas O?chsner 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (116 pages) 311 08$aPrint version: Öchsner, Andreas Elements of Classical Plasticity Theory Cham : Springer International Publishing AG,c2022 9783031142000 320 $aIncludes bibliographical references and index. 327 $aIntro -- Preface -- Contents -- Symbols and Abbreviations -- Latin Symbols (Capital Letters) -- Latin Symbols (Small Letters) -- Greek Symbols (Capital Letters) -- Greek Symbols (Small Letters) -- Mathematical Symbols -- Special Matrices -- Indices, Superscripted -- Indices, Subscripted -- Abbreviations -- 1 Introduction -- 1.1 Uniaxial Tensile Testing -- 1.2 Continuum Mechanical Modelling -- References -- 2 Theory of One-Dimensional Plasticity -- 2.1 Initial Remarks -- 2.2 Yield Condition -- 2.3 Flow Rule -- 2.4 Hardening Rule -- 2.4.1 Isotropic Hardening -- 2.4.2 Kinematic Hardening -- 2.4.3 Combined Hardening -- 2.5 Elasto-plastic Modulus -- 2.6 Consideration of Unloading, Reversed Loading and Cyclic Loading -- References -- 3 Theory of Three-Dimensional Plasticity -- 3.1 Comments on the Stress Matrix -- 3.2 Graphical Representation of Yield Conditions -- 3.3 Yield Conditions -- 3.3.1 Mises Yield Condition -- 3.3.2 Tresca Yield Condition -- 3.3.3 Drucker-Prager Yield Condition -- 3.3.4 Sayir Yield Condition -- 3.4 Flow Rule -- 3.5 Hardening Rule -- 3.5.1 Isotropic Hardening -- 3.5.2 Kinematic Hardening -- References -- 4 Elasto-plastic Finite Element Simulations -- 4.1 Approach for One-Dimensional Problems -- 4.1.1 Integration of the Material Equations -- 4.1.2 Derivation of the Fully Implicit Backward-Euler Algorithm for Isotropic Hardening -- 4.1.3 Derivation of the Fully Implicit Backward-Euler Algorithm for Kinematic Hardening -- 4.1.4 Derivation of the Fully Implicit Backward-Euler Algorithm for Combined Hardening -- 4.1.5 Derivation of the Semi-implicit Backward-Euler Algorithm for Isotropic Hardening -- 4.1.6 Sample Problems and Supplementary Problems -- 4.2 Approach for Three-Dimensinal Problems -- 4.2.1 Differentiation of the Yield Conditions -- 4.2.2 Derivation of the Fully Implicit Backward Euler Algorithm for Isotropic Hardening. 327 $aReferences -- Index. 606 $aPlasticity 615 0$aPlasticity. 676 $a306.4409113 700 $aO?chsner$b Andreas$0317948 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910624301603321 996 $aElements of Classical Plasticity Theory$92967867 997 $aUNINA