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

 
9783846595336: Novel numerical procedures for limit analysis of structures: mesh-free methods and mathematical programming

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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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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.

Biografía del autor

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.

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ISBN 10: 3846595330 ISBN 13: 9783846595336
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 200 pp. Englisch. Bestandsnummer des Verkäufers 9783846595336

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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Le CanhDr 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 . Bestandsnummer des Verkäufers 5502045

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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Books on Demand GmbH, Überseering 33, 22297 Hamburg 200 pp. Englisch. Bestandsnummer des Verkäufers 9783846595336

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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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. Bestandsnummer des Verkäufers 9783846595336

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