To determine the carrying capacity of a structure or a structural element susceptible to operate beyond the elastic limit is an important task in many situations of both mechanical and civil engineering. The so-called direct methods play an increasing role due to the fact that they allow rapid access to the request information in mathematically constructive manners. They embrace Limit Analysis, the most developed approach now widely used, and Shakedown Analysis, a powerful extension to the variable repeated loads potentially more economical than step-by-step inelastic analysis.
This book is the outcome of a workshop held at the University of Sciences and Technology of Lille. The individual contributions stem from the areas of new numerical developments rendering this methods more attractive for industrial design, extension of the general methodology to new horizons, probabilistic approaches and concrete technological applications.
The Ratchet LimitA Coupled Dual Minimisation Problem; Alan R.S. Ponter
Decomposition Methods and Strain Driven Algorithms for Limit and Shakedown Analysis; Giovanni Garcea and Leonardo Leonetti
Shakedown and Optimization Analysis of Periodic Composites; M. Chen, A. Hachemi, and D. Weichert
An Upper Bound Algorithm for Limit and Shakedown Analysis of Bounded Linearly Kinematic Hardening Structures; Phu Tinh Pham and Manfred Staat
An Edge-Based Smoothed Finite Element Method for Primal-Dual Shakedown Analysis of Structures Under Uncertainties; Thanh Ngoc Tr?n and Manfred Staat
Interior-Point Method for Lower Bound Shakedown Analyl3‚