LEADER 02864nam 22003853 450 001 9910865258003321 005 20240603084507.0 010 $a9783031588716$b(electronic bk.) 010 $z9783031588709 035 $a(MiAaPQ)EBC31359075 035 $a(Au-PeEL)EBL31359075 035 $a(CKB)32200391300041 035 $a(EXLCZ)9932200391300041 100 $a20240603d2024 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPlasticity Theory $eYield Conditions in the Invariant Space 205 $a1st ed. 210 1$aCham :$cSpringer,$d2024. 210 4$d©2024. 215 $a1 online resource (102 pages) 225 1 $aSpringerBriefs in Applied Sciences and Technology Series 311 08$aPrint version: Öchsner, Andreas Plasticity Theory Cham : Springer,c2024 9783031588709 327 $aIntro -- Preface -- Contents -- Symbols and Abbreviations -- Latin Symbols (Capital Letters) -- Latin Symbols (Small Letters) -- Greek Symbols (Small Letters) -- Mathematical Symbols -- Special Matrices -- Indices, Superscripted -- Indices, Subscripted -- Abbreviations -- 1 Fundamentals -- 1.1 Comments on the Stress Matrix -- 1.2 Graphical Representation of Yield Conditions -- References -- 2 Experimental Realization of Multiaxial Stress States -- 2.1 Thin-Walled Tubes Under Internal/External Pressure and Additional Loads -- 2.2 Loading Devices with Two or Three Axes -- 2.3 Hydrostatic Pressure Due to a Pressure Chamber and Additional Loads -- References -- 3 Yield Conditions -- 3.1 Fundamentals -- 3.2 Mises Yield Condition -- 3.3 Tresca Yield Condition -- 3.4 Drucker-Prager Yield Condition -- 3.5 Willam-Warnke Three-Parameter Yield Condition -- 3.6 Additional Components of the Constitutive Law -- 3.6.1 Flow Rule -- 3.6.2 Hardening Rule -- References -- 4 Elasto-Plastic Finite Element Simulations -- 4.1 Approach for One-Dimensinal Problems -- 4.1.1 Integration of the Material Equations -- 4.1.2 Derivation of the Fully Implicit Backward-Euler Algorithm for Isotropic Hardening -- 4.1.3 Derivation of the Fully Implicit Backward-Euler Algorithm for Kinematic Hardening -- 4.1.4 Derivation of the Fully Implicit Backward-Euler Algorithm for Combined Hardening -- 4.1.5 Derivation of the Semi-Implicit Backward-Euler Algorithm for Isotropic Hardening -- 4.2 Approach for Three-Dimensional Problems -- 4.2.1 Differentiation of the Yield Conditions -- 4.2.2 Derivation of the Fully Implicit Backward Euler Algorithm for Isotropic Hardening -- References -- Index. 410 0$aSpringerBriefs in Applied Sciences and Technology Series 700 $aÖchsner$b Andreas$0317948 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910865258003321 996 $aPlasticity Theory$94169299 997 $aUNINA