Limit State of Materials and Structures

1. Front Matter

   Pages I-VIII

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2. The Ratchet Limit—A Coupled Dual Minimisation Problem

   • Alan R. S. Ponter

   Pages 1-18

3. Decomposition Methods and Strain Driven Algorithms for Limit and Shakedown Analysis

   • Giovanni Garcea, Leonardo Leonetti

   Pages 19-43

4. Shakedown and Optimization Analysis of Periodic Composites

   • M. Chen, A. Hachemi, D. Weichert

   Pages 45-69

5. An Upper Bound Algorithm for Limit and Shakedown Analysis of Bounded Linearly Kinematic Hardening Structures

   • Phu Tinh Phạm, Manfred Staat

   Pages 71-87

6. An Edge-Based Smoothed Finite Element Method for Primal-Dual Shakedown Analysis of Structures Under Uncertainties

   • Thanh Ngọc Trân, Manfred Staat

   Pages 89-102

7. Interior-Point Method for Lower Bound Shakedown Analysis of von Mises-Type Materials

   • J.-W. Simon, D. Weichert

   Pages 103-128

8. Numerical Analysis of Nonholonomic Elastoplastic Frames by Mathematical Programming

   • Konstantinos V. Spiliopoulos, Theodoros N. Patsios

   Pages 129-144

9. Inelastic Behavior of a Two-Bar System with Temperature-Dependent Elastic Modulus Under Cyclic Thermomechanical Loadings

   • Abdelbacet Oueslati, Géry de Saxcé, Simon Hasbroucq

   Pages 145-163

10. A Multiphase Model for Assessing the Overall Yield Strength of Soils Reinforced by Linear Inclusions

    • Patrick de Buhan, Ghazi Hassen

    Pages 165-178

11. Limit Analysis of a Soil Reinforced by Micropile Group: A Decomposition Approach

    • Z. Kammoun, J. Pastor, H. Smaoui

    Pages 179-195

12. An Extension of Gurson Model to Ductile Nanoporous Media

    • L. Dormieux, D. Kondo

    Pages 197-206

13. Limit Analysis and Conic Programming for Gurson-Type Spheroid Problems

    • F. Pastor, P. Thoré, D. Kondo, J. Pastor

    Pages 207-218

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.

• Direct Methods
• Finite Element Method
• Limit Analysis
• Numerical Methods
• Plasticity
• Shakedown Analysis

• Laboratoire de Mécanique de Lille, Villeneuve d'Ascq, France

  Géry Saxcé, Abdelbacet Oueslati, Eric Charkaluk, Jean-Bernard Tritsch

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