Inelastic Behaviour of Structures Under Variable Repeated Loads: Direct Analysis Methods

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Dieter Weichert, Giulio Maier
Springer Science & Business Media, Nov 11, 2002 - Technology & Engineering - 393 pages
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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.
 

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Contents

Basic Definitions and Results
1
Variational Formulation
27
Nature of the Solutions
41
Implicit Standard Materials
59
Shakedown with Non Associated Flow Rule
77
Fundamentals of Direct Methods in Poroplasticity
91
A Kinematic Method for Shakedown and Limit Analysis of Periodic Heterogeneous Media
115
Shakedown of Structures Subjected to Dynamic External Actions and Related Bounding Techniques
133
Shakedown of ThinWalled Structures with Geometrical NonLinear Effects
229
Application of Shakedown Theory and Numerical Methods
239
A Linear Matching Method for Shakedown Analysis
267
Shakedown Limit Inadaptation and PostYield Analysis
319
Limit and Shakedown Reliability Analysis
333
Computational Methods for Shakedown and Limit Reliability Analysis
345
Limit and Shakedown Reliability Optimization Accounting for Nonlinear Geometric Effects
361
Application of Shakedown Theory to Fatigue Analysis of Structures
377

Shakedown of Structures Accounting for Damage Effects
187
Advanced Material Modelling in Shakedown Theory
203

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