## Inelastic Behaviour of Structures Under Variable Repeated Loads: Direct Analysis MethodsDieter Weichert, Giulio Maier 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 |

### Other editions - View all

Inelastic Behaviour of Structures Under Variable Repeated Loads Dieter Weichert,Giulio Maier No preview available - 2014 |

### Common terms and phrases

admissible alternating plasticity behaviour bipotential Borino bounding principle computational considered constitutive equations convergence convex corresponding cycle defined denotes displacement dissipation ductile ductile damage dynamic shakedown elastic stress elastic-plastic elastoplastic equations external actions fatigue finite element formulation geometric effects Hachemi inadaptation incremental inelastic inequality internal variables iteration kinematic Koiter Lagrange multipliers limit analysis limit load limit multiplier linear elastic linear kinematical hardening linear programming load domain load history lower bound macroscopic Maier material models matrix maximum maximum power principle Mech Mechanics method nonlinear optimization parameters plastic deformation plastic strain rate plastic yielding Polizzotto Ponter poroplastic probability density function reliability analysis residual stress safety factor satisfied shakedown analysis shakedown and limit shakedown limit shakedown multiplier shakedown problem shakedown reliability shakedown theorem Siemaszko Solid Mechanics solution space static temperature tensor theory upper bound variation vector Weichert yield condition yield stress yield surface