Limit and Shakedown Reliability Optimization Accounting for Nonlinear Geometric Effects

In this chapter, the relation between deterministic, stochastic and design parameters is explained. Differences between deterministic and reliability-based optimisation are pointed out. A formulation of the system reliability optimization with the limit a

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Series Editors: The Rectors Manuel Garcia Velarde - Madrid Mahir Sayir - Zurich Wilhelm Schneider - Wien

The Secretary General Bernhard Schrefier - Padua

Former Secretary General Giovanni Bianchi - Milan

Executive Editor Carlo Tasso- Udine

The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.

INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES - No. 432 . f'J"'V1h

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INELASTIC BEHAVIOUR OF STRUCTURES UNDER VARIABLE REPEATED LOADS DIRECT ANALYSIS METHODS

EDITED BY DIETER WEICHERT RHEINISCH-WESTFALISCHE TECHNISCHE HOCHSCHULE AACHEN GIULIO MAIER POLITECNICO DI MILANO

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Springer-Verlag Wien GmbH

This volume contains 166 illustrations

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 2002 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 2002

SPIN 10877360

In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.

ISBN 978-3-211-83687-3 DOI 10.1007/978-3-7091-2558-8

ISBN 978-3-7091-2558-8 (eBook)

PREFACE The integrity assessment of structural elements susceptible to operate beyond the elastic limits under variable repeated thermo-mechanical loads is an important task in many situations of structural engineering. Examples of such situations can be found in both mechanical and civil engineering (transportation technologies, pressure vessels, general machinery, constructions such as dams, pavements, offshore platforms, pipelines and buildings in seismic zones). The so-called "direct" or "simplified" methods based on the shakedown theorems and their specialisation to limit theorems are receiving increasing attention for the prediction of structural failure in the inelastic range, although they basically originated decades ago within classical plasticity. Reasons for such revival are, first, that these methods provide the information which are essential in practice (e.g. safety factor and collapse mechanisms) by means ofprocedures potentially more economical than step-by-step inelastic analysis; second, they only need a minimum of information on the evolution of loads as functions of time (many technical problems do not permit to assume the precise knowledge of the loading history for time-marching simulations). These methods are the subject of the present book. It reflects the lectures held in