Inelastic Analysis of Structures

The modeling of mechanical properties of materials and structures is a complex and wide-ranging subject. In some applications, it is sufficient to assume that the material remains elastic, i.e. that the deformation process is fully reversible and the stress is a unique function of strain. However, such a simplified assumption is appropriate only within a limited range, and in general must be replaced by a more realistic approach that takes into account the inelastic processes such as plastic yielding or cracking. This book presents a comprehensive treatment of the most important areas of plasticity and of time-dependent inelastic behavior (viscoplasticity of metals, and creep and shrinkage of concrete). It covers structural aspects such as: * incremental analysis * limit analysis * shakedown analysis * optimal design * beam structures subjected to bending and torsion * yield line theory of plates * slip line theory * size effect in structures * creep and shrinkage effects in concrete structures. The following aspects of the advanced material modeling are presented: * yield surfaces for metals and plastic-frictional materials * hardening and softening * stress-return algorithms * large-strain formulations * thermodynamic framework * microplane models * localization of plastic strain. Inelastic Analysis of Structures is a textbook for basic and advanced courses on plasticity, with a slight emphasis on structural engineering applications, but with a wealth of material for geotechnical, mechanical, aerospace, naval, petroleum and nuclear engineers. The text is constructed in a very didactical way, while the mathematics has been kept rigorous.

Table of Contents:
Preface. Introduction. PART I: PLASTIC ANALYSIS OF STRUCTURES UNDER UNIAXIAL STRESS-FUNDAMENTALS. Uniaxial Stress-Strain Relations. Plastic Bars and Yield Hinges. Incremental Analysis. Elementary Limit Analysis. Theorems of Limit Analysis. Methods of Limit Analysis. Linear Programming in Limit Analysis. Displacement at Incipient Collapse. PART II: PLASTIC ANALYSIS OF STRUCTURES UNDER UNIAXIAL STRESS-FURTHER TOPICS. Nonproportional and Cyclic Loads. Theorems of Shakedown Analysis. Methods of Shakedown Analysis. Optimum Design. Combined Plastic Bending and Compression or Tension. Plasticity Aspects of Reinforced Concrete. Part III: PLASTIC ANALYSIS OF STRUCTURES UNDER MULTIAXIAL STRESS. Simple Elastoplastic Constitutive Models. Theorems of Plastic Analysis in Multiaxial Case. Plastic Torsion and Shear. Limit Loads of Plates. Plane Problems. PART IV: ADVANCED TOPICS IN PLASTICITY. General Elastoplastic Constitutive Models. Plastic Material Models for Concrete and Soils. Numerical Methods in Plasticity. Thermodynamic Approach to Constitutive Modeling. Elastoplastic Constitutive Models for Large Strain. Crystal Plasticity and Microplane Constitutive Models. PART V: TIME-DEPENDENT INELASTIC BEHAVIOR OF METALS AND CONCRETE. Models for Localization of Softening and Size Effect. Viscoplasticity. Material Models for Concrete Creep and shrinkage. Creep and Shrinkage Effects in concrete Structures. Appendix A: Linear Elastic Trusses. Appendix B: Linear Elastic Beams and Frames. Appendix C: Linear Programming. Appendix D: Cartesian Tensors and Elasticity. Appendix E: Model B3 for Predicting Concrete Creep and Shrinkage. Appendix F: Softening Inelastic Hinges: Deviations from Plasticity and Size Effects. References. Author Index. Subject Index.