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

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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.

Author(s): Dieter Weichert, Giulio Maier (eds.)
Series: International Centre for Mechanical Sciences 432
Edition: 1
Publisher: Springer-Verlag Wien
Year: 2002

Language: English
Pages: 396
Tags: Engineering, general

Front Matter....Pages ii-viii
Basic Definitions and Results....Pages 1-25
Variational Formulation....Pages 27-39
Nature of the Solutions....Pages 41-57
Implicit Standard Materials....Pages 59-76
Shakedown with Non Associated Flow Rule....Pages 77-89
Fundamentals of Direct Methods in Poroplasticity....Pages 91-113
A Kinematic Method for Shakedown and Limit Analysis of Periodic Heterogeneous Media....Pages 115-132
Shakedown of Structures Subjected to Dynamic External Actions and Related Bounding Techniques....Pages 133-185
Shakedown of Structures Accounting for Damage Effects....Pages 187-201
Advanced Material Modelling in Shakedown Theory....Pages 203-227
Shakedown of Thin-Walled Structures with Geometrical Non-Linear Effects....Pages 229-238
Application of Shakedown Theory and Numerical Methods....Pages 239-265
A Linear Matching Method for Shakedown Analysis....Pages 267-318
Shakedown, Limit, Inadaptation and Post-Yield Analysis....Pages 319-332
Limit and Shakedown Reliability Analysis....Pages 333-344
Computational Methods for Shakedown and Limit Reliability Analysis....Pages 345-359
Limit and Shakedown Reliability Optimization Accounting for Nonlinear Geometric Effects....Pages 361-376
Application of Shakedown Theory to Fatigue Analysis of Structures....Pages 377-393
Back Matter....Pages 395-396