Preface; Chapter 1. Origins and Topicality of a Concept; 1.1 Historical milestones; 1.2. Topicality of the yield design approach; 1.3. Bibliography; Chapter 2. An Introductory Example of the Yield Design Approach; 2.1. Setting the problem; 2.2. Potential stability of the structure; 2.3. To what extent potential stability is a relevant concept?; 2.4. Bibliography; Chapter 3. The Continuum Mechanics Framework; 3.1. Modeling the continuum; 3.2. Dynamics; 3.3 The theory of virtual work; 3.4 Statically and kinematically admissible fields; 3.5. Bibliography
Chapter 7. Ultimate Limit State Design from the Theory ofYield Design7.1. Basic principles of ultimate limit state design; 7.2 Revisiting the yield design theory in the context of ULSD; 7.3 The yield design theory applied to ULSD; 7.4. Conclusion; 7.5. Bibliography; Chapter 8. Optimality and Probability Approaches ofYield Design; 8.1. Optimal dimensioning and probabilistic approach; 8.2. Domain of potential stability; 8.3 Optimal dimensioning; 8.4. Probabilistic approach of yield design; 8.5. Bibliography; Chapter 9. Yield Design of Structures; 9.1. The curvilinear one-dimensional continuum
Summary
Since the middle of the 20th Century yield design approaches have been identified with the lower and upper bound theorem of limit analysis theory - a theory associated with perfect plasticity. This theory is very restrictive regarding the applicability of yield design approaches, which have been used for centuries for the stability of civil engineering structures. This book presents a theory of yield design within the original "equilibrium/resistance" framework rather than referring to the theories of plasticity or limit analysis; expressing the compatibility between the equilibrium of