Limit States of Materials and Structures

1. Front Matter

   Pages I-XII

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2. The Linear Matching Method for Limit Loads, Shakedown Limits and Ratchet Limits

   • A.R.S. Ponter

   Pages 1-21

3. Large Problems in Numerical Limit Analysis: A Decomposition Approach

   • F. Pastor, Z. Kammoun, E. Loute, J. Pastor, H. Smaoui

   Pages 23-43

4. Gurson Model for Porous Pressure Sensitive Materials

   • J. Pastor, Ph. Thoré

   Pages 45-65

5. A Direct Method for the Determination of Effective Strength Domains for Periodic Elastic-Plastic Media

   • S. Bourgeois, H. Magoariec, O. Débordes

   Pages 67-86

6. Stochastic Limit Load Analysis of~Elasto-Plastic Plane Frames

   • K. Marti

   Pages 87-112

7. Limit Load Analysis of Plane Frames Under Stochastic Uncertainty

   • S. Zier, K. Marti

   Pages 113-134

8. Reliability Analysis of Inelastic Shell Structures Under Variable Loads

   • T.N. Trần, P.T. Phạm, Ð.K. Vũ, M. Staat

   Pages 135-156

9. Static Shakedown Theorem for Solids with Temperature-Dependent Elastic Modulus

   • A. Oueslati, G. de Saxcè

   Pages 157-178

10. On Shakedown of Structures Under Variable Loads with a Kinematic Non-linear and Non-associated Hardening Rule

    • C. Bouby, Géry de Saxcé, J.-B. Tritsch

    Pages 179-196

11. Limit Analysis of Orthotropic Laminates by Linear Matching Method

    • P. Fuschi, A.A. Pisano, O. Barrera

    Pages 197-220

12. Mechanical Surface Treatments and Life Improvement

    • G. Inglebert, I. Caron, T. Da Silva Botelho, M. Quillien

    Pages 221-232

13. Force Method – Based Procedures in the Limit Equilibrium Analysis of Framed Structures

    • K.V. Spiliopoulos

    Pages 233-252

14. Shakedown Analysis of Composite Materials Based on Non-linear Mathematical Programming

    • H.X. Li, H.S. Yu

    Pages 253-270

15. A Non-linear Programming Approach to~Shakedown Analysis for a General Yield~Condition

    • H.S. Yu, H.X. Li

    Pages 271-288

16. Application of Shakedown Analysis to Large-Scale Problems with Selective Algorithm

    • A. Hachemi, S. Mouhtamid, A.D. Nguyen, D. Weichert

    Pages 289-305

To predict loading limits for structures and structural elements is one of the oldest and most important tasks of engineers. Among the theoretical and numericalmethodsavailableforthispurpose,so-called“DirectMethods”,- bracing Limit- and Shakedown Analysis, play an eminent role due to the fact that they allow rapid access to the requested information in mathematically constructive manners. The collection of papers in this book is the outcome of a workshop held at Aachen University of Technology in November 2007. The individual c- tributions stem in particular from the areas of new numerical developments renderingthemethodsmoreattractive forindustrialdesign,extensionsofthe general methodology to new horizons of application, probabilistic approaches and concrete technological applications. The papers are arranged according to the order of the presentations in the workshop and give an excellent insight into state-of-the-art developments in this broad and growing ?eld of research. The editors warmly thank all the scientists, who have contributed by their outstanding papers to the quality of this edition. Special thanks go to Jaan Simon for his great help in putting together the manuscript to its ?nal shape.

• Frames
• civil engineering
• design
• direct methods
• mechanical and civil engineering
• model
• safety
• solids
• structural design
• structure
• uncertainty

• Inst. Allgemeine Mechanik, RWTH Aachen, 52062 Aachen, Germany

  Weichert Dieter

• Dept. Engineering, University of Leicester, Leicester, United Kingdom LE1 7RH

  Ponter Alan

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