03198nam 2200421 450 991062430160332120230320101810.09783031142017(electronic bk.)9783031142000(MiAaPQ)EBC7133734(Au-PeEL)EBL7133734(CKB)25299360300041(PPN)266355676(EXLCZ)992529936030004120230320d2022 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierElements of classical plasticity theory /Andreas ÖchsnerCham, Switzerland :Springer,[2022]©20221 online resource (116 pages)Print version: Öchsner, Andreas Elements of Classical Plasticity Theory Cham : Springer International Publishing AG,c2022 9783031142000 Includes bibliographical references and index.Intro -- 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.References -- Index.PlasticityPlasticity.306.4409113Öchsner Andreas317948MiAaPQMiAaPQMiAaPQ9910624301603321Elements of Classical Plasticity Theory2967867UNINA