Inelastic Behaviour of Structures under Variable Loads

1. Front Matter

   Pages i-xvii

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2. Material Modelling for Cyclic Plasticity and Damage

   1. Front Matter

      Pages 1-1

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   2. The Modified Multisurface Hardening Model and its Application to Cyclic Loading Problems

      • Zenon Mróz, Piotr Rodzik

      Pages 3-18

   3. Structures Consisting of Two-Phase Materials Under Thermomechanical Loads

      • Thomas Siegmund, Ewald Werner, Franz Dieter Fischer

      Pages 19-31

   4. Shakedown for systems of kinematic hardening materials

      • E. Stein, Y. J. Huang

      Pages 33-50

   5. Related Mathematical Models for Solids and Structures Deformation and Failure Processes Under Repeated Loading

      • D. A. Gokhfeld, O. S. Sadakov, O. F. Cherniavsky

      Pages 51-81

   6. Nonlinear Behavior of Low-Plastic Structures

      • A. Cherniavsky

      Pages 83-91

3. General Theory of Accomodated Inelastic Structures Under Variable Loads

   1. Front Matter

      Pages 93-93

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   2. Elastic-Viscoplastic Solids Subjected to Thermal and Loading Cycles

      • Castrenze Polizzotto

      Pages 95-128

   3. Some Basic Elements of the Shakedown Theory

      • B. Nayroles

      Pages 129-152

   4. A Variational Deduction of the Upper and Lower Bound Shakedown Theorems by Markov and Hill’s Principles Over a Cycle

      • Géry De Saxce

      Pages 153-167

   5. Influence of Cyclic Creep on the Upper Bound to Shakedown Inelastic Deflections

      • Stanisław Dorosz

      Pages 169-181

   6. On Shakedown Theorems in the Presence of Signorini Conditions and Friction

      • Józef Joachim Telega

      Pages 183-201

   7. On Theorems of Adaptation of Elastic-Plastic Structures

      • Jan Saczuk

      Pages 203-218

   8. Extremum Problems in Shakedown Theory

      • Jacov Kamenjarzh

      Pages 219-236

4. Influence of Geometrical Changes on Cyclic Response of Structures

   1. Front Matter

      Pages 237-237

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   2. Geometric Effects on Shakedown and Ratchetting of Axisymmetric Cylindrical Shells Subjected to Variable Thermal Loading

      • G. Maier, L. G. Pan, U. Perego

      Pages 239-262

   3. Shakedown of Shells Undergoing Moderate Rotations

      • Johannes Gross-Weege, Dieter Weichert

      Pages 263-277

   4. Limit, Shakedown, Post-Yield, and Inadaptation Analyses of Discrete Plastic Structures

      • Andrzej Siemaszko

      Pages 279-291

   5. Constitutive Model and Incremental Shakedown Analysis in Finite Elastoplasticity

      • Helmut Stumpf

      Pages 293-307

This collection of papers is a state of the art presentation of theories and methods related to the problem of the behaviour of mechanical structures under variable loads beyond their elastic limit In particular, the problems of shakedown, ratchetting, transient and asymptotic cyclic states are addressed. The volume is composed of four chapters devoted to material modelling for cyclic loading conditions; general theory of accommodated states of structures; effects of changes of the geometry on the inelastic structural response; and numerical techniques with applications to particular engineering problems. It was aimed to provide a unified approach in order to understand both inelastic material and structural response under variable loading conditions. The attempt to extend the classical shakedown theory of Melan and Koiter to geometrically non-linear problems is presented in several papers. The industrial application of cyclic plasticity to the analysis and the design of pressure bellows, compensators, turbine disks, or flange connections under thermal and pressure cycles illustrates the great potential of the numerical techniques developed for this purpose using mostly min-max approaches. The treatment of railway problems and the analysis and optimisation of pavements are further examples of important areas of applications. Emphasis was laid on approaches that take into account the fact that loading histories are often not precisely known Therefore, the center of interest lies in other than step by step calculation methods.

• design
• materials
• plasticity
• stability
• structure
• structures
• quality control, reliability, safety and risk

• Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw, Poland

  Zenon Mróz, Stanislaw Dorosz

• Université des Sciences et Technologies de Lille, Villeneuve d’Ascq, France

  Dieter Weichert

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