Plasticity Theory : Yield Conditions in the Invariant Space

• Record Nr.: UNINA9910865258003321
• Autore: Öchsner Andreas
• Pubbl/distr/stampa: Cham : , : Springer, , 2024; ©2024
• ISBN: 9783031588716; 9783031588709
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (102 pages)
• Collana: SpringerBriefs in Applied Sciences and Technology Series
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Intro -- 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.