Limit State of Materials and Structures: Direct Methods 2

Overview

To determine the carrying capacity of a structure or a structural element susceptible to operate beyond the elastic limit is an important task in many situations of both mechanical and civil engineering. The so-called “direct methods” play an increasing role due to the fact that they allow rapid access to the request information in mathematically constructive manners. They embrace Limit Analysis, the most developed approach now widely used, and Shakedown Analysis, a powerful extension to the variable repeated ...

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Overview

To determine the carrying capacity of a structure or a structural element susceptible to operate beyond the elastic limit is an important task in many situations of both mechanical and civil engineering. The so-called “direct methods” play an increasing role due to the fact that they allow rapid access to the request information in mathematically constructive manners. They embrace Limit Analysis, the most developed approach now widely used, and Shakedown Analysis, a powerful extension to the variable repeated loads potentially more economical than step-by-step inelastic analysis.
This book is the outcome of a workshop held at the University of Sciences and Technology of Lille. The individual contributions stem from the areas of new numerical developments rendering this methods more attractive for industrial design, extension of the general methodology to new horizons, probabilistic approaches and concrete technological applications.

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Product Details

  • ISBN-13: 9789400754249
  • Publisher: Springer Netherlands
  • Publication date: 11/30/2012
  • Edition description: 2013
  • Edition number: 1
  • Pages: 220
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.56 (d)

Table of Contents

The Ratchet Limit—A Coupled Dual Minimisation Problem; Alan R.S. Ponter

Decomposition Methods and Strain Driven Algorithms for Limit and Shakedown Analysis; Giovanni Garcea and Leonardo Leonetti

Shakedown and Optimization Analysis of Periodic Composites; M. Chen, A. Hachemi, and D. Weichert

An Upper Bound Algorithm for Limit and Shakedown Analysis of Bounded Linearly Kinematic Hardening Structures; Phu Tinh Pham and Manfred Staat

An Edge-Based Smoothed Finite Element Method for Primal-Dual Shakedown Analysis of Structures Under Uncertainties; Thanh Ngoc Trân and Manfred Staat

Interior-Point Method for Lower Bound Shakedown Analysis of von Mises-Type Materials; J.-W. Simon and D. Weichert

Numerical Analysis of Nonholonomic Elastoplastic Frames by Mathematical Programming; Konstantinos V. Spiliopoulos and Theodoros N. Patsios

Inelastic Behavior of a Two-Bar System with Temperature-Dependent Elastic Modulus Under Cyclic Thermomechanical Loadings; Abdelbacet Oueslati, Géry de Saxcé, and Simon Hasbroucq

A Multiphase Model for Assessing the Overall Yield Strength of Soils Reinforced by Linear Inclusions; Patrick de Buhan and Ghazi Hassen

Limit Analysis of a Soil Reinforced by Micropile Group: A Decomposition Approach; Z. Kammoun, J. Pastor, and H. Smaoui

An Extension of Gurson Model to Ductile Nanoporous Media; L. Dormieux and D. Kondo

Limit Analysis and Conic Programming for Gurson-Type Spheroid Problems; F. Pastor, P. Thoré, D. Kondo, and J. Pastor

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