Inelastic Analysis of Structures under Variable Loads

1. Front Matter

   Pages i-viii

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2. An Early Upper Bound Method for Shakedown of Beams and Frames

   • P. S. Symonds

   Pages 1-9

3. Shakedown Limits for a General Yield Condition: Implementation and Application for a Von Mises Yield Condition

   • A. R. S. Ponter, M. Engelhardt

   Pages 11-29

4. Shakedown at Finite Elasto-Plastic Strains

   • H. Stumpf, B. Schieck

   Pages 31-47

5. Shape Optimization under Shakedown Constraints

   • K. Wiechmann, F.-J. Barthold, E. Stein

   Pages 49-68

6. Numerical Simulations of Thermo-Viscoplastic Flow Processes under Cyclic Dynamic Loadings

   • W. Dornowski, P. Perzyna

   Pages 69-94

7. Subdomain Bounding Technique for Shakedown Analysis of Structures

   • Y. Liu, Z. Cen, Y. Xu

   Pages 95-105

8. Failure Investigation of Fiber-Reinforced Composite Materials by Shakedown Analysis

   • A. Hachemi, F. Schwabe, D. Weichert

   Pages 107-119

9. Analysis of Masonry Structures Subject to Variable Loads: A Numerical Approach Based on Damage Mechanics

   • A. Callerio, E. Papa, A. Nappi

   Pages 121-134

10. CYCLONE - System for Structural Adaptation and Limit Analysis

    • A. Siemaszko, G. Bielawski, J. Zwolinski

    Pages 135-146

11. Variational Principles for Shakedown Analysis

    • Nestor Zouain, José Luís Silveira

    Pages 147-165

12. Shakedown of Elastic-Plastic Structures with Non Linear Kinematical Hardening by the Bipotential Approach

    • G. De Saxce, J.-B. Tritsch, M. Hjiaj

    Pages 167-182

13. Shakedown and Fatigue Damage in Metal Matrix Composites

    • George J. Dvorak, Dimitris C. Lagoudas, Chien-Ming Huang

    Pages 183-196

14. On Shakedown of Elastic Plastic Bodies with Brittle Damage

    • B. Druyanov, I. Roman

    Pages 197-212

15. Simplified Methods for the Steady State Inelastic Analysis of Cyclically Loaded Structures

    • K. V. Spiliopoulos

    Pages 213-232

16. Direct Finite Element Kinematical Approaches in Limit and Shakedown Analysis of Shells and Elbows

    • A. M. Yan, H. Nguyen-Dang

    Pages 233-254

17. Shakedown and Damage Analysis Applied to Rocket Engines

    • T. Hassine, G. Inglebert, M. Pons

    Pages 255-267

18. Reliability Analysis of Elasto-Plastic Structures under Variable Loads

    • M. Heitzer, M. Staat

    Pages 269-288

19. Upper Bounds on Post-Shakedown Quantities in Poroplasticity

    • G. Cocchetti, G. Maier

    Pages 289-314

20. Fatigue Behavior of Fiber Reinforced Concrete: Comparison between Material and Structural Response

    • S. Cangiano, G. A. Plizzari

    Pages 315-334

The question whether a structure or a machine component can carry the applied loads, and with which margin of safety, or whether it will become unserviceable due to collapse or excessive inelastic deformations, has always been a major concern for civil and mechanical engineers. The development of methods to answer this technologically crucial question without analysing the evolution of the system under varying loads, has a long tradition that can be traced back even to the times of emerging mechanical sciences in the early 17th century. However, the scientific foundations of the theories underlying these methods, nowadays frequently called "direct", were established sporadically in the Thirties of the 20th century and systematically and rigorously in the Fifties. Further motivations for the development of direct analysis techniques in applied mechanics of solids and structures arise from the circumstance that in many engineering situations the external actions fluctuate according to time histories not a priori known except for some essential features, e.g. variation intervals. In such situations the critical events (or "limit states") to consider, besides plastic collapse, are incremental collapse (or "ratchetting") and alternating plastic yielding, namely lack of "shakedown". Non evolutionary, direct methods for ultimate limit state analysis of structures subjected to variably-repeated external actions are the objectives of most papers collected in this book, which also contains a few contributions on related topics.

• Fundament
• concrete
• masonry
• materials
• optimization
• reliability
• safety
• simulation
• structure
• quality control, reliability, safety and risk

• Institut für allgemeine Mechanik, Rheinisch-Westfälische Technische Hochschule Aachen, Germany

  Dieter Weichert

• Department of Structural Engineering, Technical University (Politecnico) of Milan, Italy

  Giulio Maier

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