Novel numerical procedures for limit analysis of structures: mesh-free methods and mathematical programming - Couverture souple

Le, Canh

 
9783846595336: Novel numerical procedures for limit analysis of structures: mesh-free methods and mathematical programming
Couverture souple
ISBN 10 : 3846595330 ISBN 13 : 9783846595336
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

Current research in the field of limit analysis is focussing on the development of numerical tools which are sufficiently efficient and robust to be used in engineering practice. This places demands on the numerical discretisation strategy adopted as well as on the mathematical programming tools applied, which are the key ingredients of a typical computational limit analysis procedure. In this research, the Element-Free Galerkin (EFG) discretisation strategy is used to approximate the displacement and moment fields in plate and slab problems, and second-order cone programming (SOCP) is used to solve the resulting discretised formulations. A numerical procedure using the EFG method and second-order cone programming for the kinematic limit analysis problem was developed first. The moving least squares technique was used in combination with a stabilised conforming nodal integration scheme, both to keep the size of the optimisation problem small and to provide stable and accurate solutions. The formulation was expressed as a problem of minimizing a sum of Euclidean norms, which was then transformed into a form suitable for solution using SOCP.

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Présentation de l'éditeur

Current research in the field of limit analysis is focussing on the development of numerical tools which are sufficiently efficient and robust to be used in engineering practice. This places demands on the numerical discretisation strategy adopted as well as on the mathematical programming tools applied, which are the key ingredients of a typical computational limit analysis procedure. In this research, the Element-Free Galerkin (EFG) discretisation strategy is used to approximate the displacement and moment fields in plate and slab problems, and second-order cone programming (SOCP) is used to solve the resulting discretised formulations. A numerical procedure using the EFG method and second-order cone programming for the kinematic limit analysis problem was developed first. The moving least squares technique was used in combination with a stabilised conforming nodal integration scheme, both to keep the size of the optimisation problem small and to provide stable and accurate solutions. The formulation was expressed as a problem of minimizing a sum of Euclidean norms, which was then transformed into a form suitable for solution using SOCP.

Biographie de l'auteur

Dr Canh Le is currently employed as a Lecturer in the Department of Civil Engineering at the International University. He worked as a Postdoctoral Research Associate after obtaining his PhD in Computational Mechanics from the University of Sheffield in 2010. His research interests lie in the field of computational structural mechanics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3846595330
ISBN 13 
9783846595336
Reliure
Broché
Nombre de pages
200
Coordonnées du fabricant
non disponible
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