## Limit States of Materials and Structures: Direct Methods (Google eBook)Dieter Weichert, Alan R. S. Ponter The direct determination of limit states of materials and structures under general thermomechanical loading is of utmost interest for any design engineer. Such methods have existed for many years, but have found only limited practical application. Owing to new theoretical and numerical developments, this situation has changed and the methodology has reached a level of maturity that makes it attractive for a large range of applications. |

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### Contents

1 | |

A Decomposition Approach | 23 |

Gurson Model for Porous Pressure Sensitive Materials | 44 |

A Direct Method for the Determination of Effective Strength Domains for Periodic ElasticPlastic Media | 67 |

Stochastic Limit Load Analysis of ElastoPlastic Plane Frames | 87 |

Limit Load Analysis of Plane Frames Under Stochastic Uncertainty | 112 |

Reliability Analysis of Inelastic Shell Structures Under Variable Loads | 135 |

Static Shakedown Theorem for Solids with TemperatureDependent Elastic Modulus | 157 |

On Shakedown of Structures Under Variable Loads with a Kinematic Nonlinear and Nonassociated Hardening Rule | 179 |

Limit Analysis of Orthotropic Laminates by Linear Matching Method | 197 |

Mechanical Surface Treatments and Life Improvement | 221 |

Force Method Based Procedures in the Limit Equilibrium Analysis of Framed Structures | 233 |

Shakedown Analysis of Composite Materials Based on Nonlinear Mathematical Programming | 253 |

A Nonlinear Programming Approach to Shakedown Analysis for a General Yield Condition | 271 |

to LargeScale Problems with Selective Algorithm | 288 |

### Common terms and phrases

algorithm applied approach behaviour coeﬃcient composite materials composites Comput constraints convergence convex cost factor cycle basis cyclic loading deﬁned denotes diﬀerent displacement dissipated power e-mail eﬀective elastic equilibrium ﬁctitious ﬁnite element ﬁrst ﬁxed ﬂow formulation friction angle Gaussian integral homogeneous incremental inequation Inﬂuence Inglebert iteration kinematic shakedown analysis limit analysis limit and shakedown Linear Matching Method linear programming load factor load multiplier lower bound material mathematical programming matrix Mécanique Mech mesh Mises modulus non-linear programming numerical obtained optimization problem orthotropic materials penalty costs plastic strain plate Porous quadratic residual stress satisﬁed selective algorithm shakedown analysis shakedown limit shakedown load shakedown theorem shear shear stress shot peening solution Springer Science+Business Media static stochastic strain rate stress ﬁeld structure tensor Tsai-Wu type unit cell upper bound values variables vector velocity Weichert yield condition yield criterion yield stress yield surface