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