Inelastic Behaviour of Structures under Variable Repeated Loads

1. Front Matter

   Pages ii-viii

   PDF

2. Chapter 1

   1. Basic Definitions and Results

      • Géry de Saxcé

      Pages 1-25

   2. Variational Formulation

      • Géry de Saxcé

      Pages 27-39

   3. Nature of the Solutions

      • Géry de Saxcé

      Pages 41-57

   4. Implicit Standard Materials

      • Géry de Saxcé, Lahbib Bousshine

      Pages 59-76

   5. Shakedown with Non Associated Flow Rule

      • Géry de Saxcé, Jean-Bernard Tritsch

      Pages 77-89

3. Chapter 2

   1. Fundamentals of Direct Methods in Poroplasticity

      • Giulio Maier, Giuseppe Cocchetti

      Pages 91-113

   2. A Kinematic Method for Shakedown and Limit Analysis of Periodic Heterogeneous Media

      • Giulio Maier, Valter Carvelli

      Pages 115-132

4. Chapter 3

   1. Shakedown of Structures Subjected to Dynamic External Actions and Related Bounding Techniques

      • Castrenze Polizzotto, Guido Borino, Paolo Fuschi

      Pages 133-185

   2. Shakedown of Structures Accounting for Damage Effects

      • Castrenze Polizzotto, Guido Borino, Paolo Fuschi

      Pages 187-201

5. Chapter 4

   1. Advanced Material Modelling in Shakedown Theory

      • Dieter Weichert, Abdelkader Hachemi

      Pages 203-227

   2. Shakedown of Thin-Walled Structures with Geometrical Non-Linear Effects

      • Dieter Weichert, Abdelkader Hachemi

      Pages 229-238

   3. Application of Shakedown Theory and Numerical Methods

      • Dieter Weichert, Abdelkader Hachemi

      Pages 239-265

6. Chapter 5

   1. A Linear Matching Method for Shakedown Analysis

      • Alan R. S. Ponter

      Pages 267-318

7. Chapter 6

   1. Shakedown, Limit, Inadaptation and Post-Yield Analysis

      • Andrzej Siemaszko

      Pages 319-332

   2. Limit and Shakedown Reliability Analysis

      • Andrzej Siemaszko

      Pages 333-344

   3. Computational Methods for Shakedown and Limit Reliability Analysis

      • Andrzej Siemaszko

      Pages 345-359

   4. Limit and Shakedown Reliability Optimization Accounting for Nonlinear Geometric Effects

      • Andrzej Siemaszko

      Pages 361-376

8. Chapter 7

   1. Application of Shakedown Theory to Fatigue Analysis of Structures

      • Ky Dang Van

      Pages 377-393

9. Back Matter

   Pages 395-396

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This book deals with the safety assessment of structures and structural components, possibly operating beyond the elastic limits under variable repeated thermo-mechanical loads. Examples of such situations can be found both in mechanical and civil engineering (e.g. transportation technologies, pressure vessels, pipelines, offshore platforms, dams, pavements and buildings in seismic zones). So-called "direct” methods are focused, based on the shakedown theorems and their specialisation to limit theorems. These methods are receiving increased attention for the prediction of structural failure because they provide the information that is essential in practice (e.g. safety factor and collapse mechanisms) by more economical procedures than step-by-step inelastic analysis; also, they only need a minimum of information on the evolution of loads as functions of time. The addressed audience are primarily engineers and scientists active in Structural Engineering and Safety and Reliability Analysis.

• computational method
• computational methods
• damage
• fatigue
• flow
• Fundament
• material
• mechanism
• plasticity
• structural engineering

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

  Dieter Weichert

• Dipartimento di Ingegneria Strutturale, Politecnico di Milano, Milano, Italy

  Giulio Maier

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