Extended Finite Element and Meshfree Methods

Written By Timon Rabczuk
Extended Finite Element and Meshfree Methods
  • Publsiher : Academic Press
  • Release : 13 November 2019
  • ISBN : 0128141077
  • Pages : 638 pages
  • Rating : /5 from reviews
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Download or read book entitled Extended Finite Element and Meshfree Methods by author: Timon Rabczuk which was release on 13 November 2019 and published by Academic Press with total page 638 pages . This book available in PDF, EPUB and Kindle Format. Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis because they do not require any remeshing. These methods include the original extended finite element method, smoothed extended finite element method (XFEM), phantom node method, extended meshfree methods, numerical manifold method and extended isogeometric analysis. This book also addresses their implementation and provides small MATLAB codes on each sub-topic. Also discussed are the challenges and efficient algorithms for tracking the crack path which plays an important role for complex engineering applications. Explains all the important theory behind XFEM and meshfree methods Provides advice on how to implement XFEM for a range of practical purposes, along with helpful MATLAB codes Draws on the latest research to explore new topics, such as the applications of XFEM to shell formulations, and extended meshfree and extended isogeometric methods Introduces alternative modeling methods to help readers decide what is most appropriate for their work

Extended Finite Element and Meshfree Methods

Extended Finite Element and Meshfree Methods
  • Author : Timon Rabczuk,Jeong-Hoon Song,Xiaoying Zhuang,Cosmin Anitescu
  • Publisher : Academic Press
  • Release Date : 2019-11-13
  • Total pages : 638
  • ISBN : 0128141077
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Summary : Extended Finite Element and Meshfree Methods provides an overview of, and investigates, recent developments in extended finite elements with a focus on applications to material failure in statics and dynamics. This class of methods is ideally suited for applications, such as crack propagation, two-phase flow, fluid-structure-interaction, optimization and inverse analysis ...

Advances in Meshfree and X FEM Methods

Advances in Meshfree and X FEM Methods
  • Author : G R Liu
  • Publisher : World Scientific
  • Release Date : 2002-12-16
  • Total pages : 272
  • ISBN : 0128141077
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Summary : This book is a collection of the papers from the proceedings of the 1st Asian Workshop on Meshfree Methods held in conjunction with the 2nd International Conference on Structural Stability & Dynamics (ICSSD02) on 16-18 December 2002 in Singapore. It contains 36 articles covering most of the topics in the rapidly developing areas ...

Advances in Meshfree and X fem Methods

Advances in Meshfree and X fem Methods
  • Author : Gui-Rong Liu
  • Publisher : World Scientific
  • Release Date : 2003
  • Total pages : 258
  • ISBN : 0128141077
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Summary : This book contains 36 articles covering most of the topics in the rapidly developing areas of meshfree methods and extended finite element methods (X-FEM). These topics include domain discretization, boundary discretization, combined domain/boundary discretization, meshfree particle methods, collocation methods, X-FEM, etc. Papers on issues related to implementation and coding of ...

Finite Element Method Concepts and Applications

Finite Element Method  Concepts and Applications
  • Author : Connie Mcguire
  • Publisher : Unknown
  • Release Date : 2019-06-06
  • Total pages : 237
  • ISBN : 0128141077
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Summary : Finite element method refers to the numerical method, which is used to solve problems in mathematical physics and engineering. The areas where finite element method is mostly applied are fluid flow, structural analysis, mass transport, heat transfer and electromagnetic potential problems. This method divides the problem into simpler and smaller ...

Extended Finite Element Method

Extended Finite Element Method
  • Author : Amir R. Khoei
  • Publisher : John Wiley & Sons
  • Release Date : 2015-02-23
  • Total pages : 584
  • ISBN : 0128141077
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Summary : Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Extended Finite Element Method: Theory and Applications introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, ...

Advances in Meshfree and X fem Methods

Advances in Meshfree and X fem Methods
  • Author : Gui-Rong Liu
  • Publisher : World Scientific
  • Release Date : 2003
  • Total pages : 258
  • ISBN : 0128141077
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Summary : This book contains 36 articles covering most of the topics in the rapidly developing areas of meshfree methods and extended finite element methods (X-FEM). These topics include domain discretization, boundary discretization, combined domain/boundary discretization, meshfree particle methods, collocation methods, X-FEM, etc. Papers on issues related to implementation and coding of ...

Computational Methods

Computational Methods
  • Author : G.R. Liu,V.B.C. Tan,X. Han
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-05-26
  • Total pages : 925
  • ISBN : 0128141077
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Summary : The First International Conference on Computational Methods (ICCM04), organized by the department of Mechanical Engineering, National University of Singapore, was held in Singapore, December 15-17, 2004, with great success. This conference proceedings contains some 290 papers from more than 30 countries/regions. The papers cover a broad range of topics such as meshfree ...

The Finite Element Method in Engineering

The Finite Element Method in Engineering
  • Author : Singiresu S. Rao
  • Publisher : Butterworth-Heinemann
  • Release Date : 2017-10-31
  • Total pages : 782
  • ISBN : 0128141077
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Summary : The Finite Element Method in Engineering, Sixth Edition, provides a thorough grounding in the mathematical principles behind the Finite Element Analysis technique—an analytical engineering tool originated in the 1960's by the aerospace and nuclear power industries to find usable, approximate solutions to problems with many complex variables. Rao shows ...

Error Estimates for Advanced Galerkin Methods

Error Estimates for Advanced Galerkin Methods
  • Author : Marcus Olavi Rüter
  • Publisher : Springer Nature
  • Release Date : 2019-11-07
  • Total pages : 496
  • ISBN : 0128141077
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Summary : This monograph provides a compendium of established and novel error estimation procedures applied in the field of Computational Mechanics. It also includes detailed derivations of these procedures to offer insights into the concepts used to control the errors obtained from employing Galerkin methods in finite and linearized hyperelasticity. The Galerkin ...

Advances in Meshfree Techniques

Advances in Meshfree Techniques
  • Author : V.M.A. Leitao,C.J.S. Alves,C. Armando Duarte
  • Publisher : Springer Science & Business Media
  • Release Date : 2007-05-26
  • Total pages : 315
  • ISBN : 0128141077
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Summary : The book collects extended original contributions presented at the first ECCOMAS Conference on Meshless Methods held in 2005 in Lisbon. The list of contributors is a mix of highly distinguished authors as well as promising young researchers. This means that the reader gets a varied and contemporary view on different mesh ...

Meshfree Methods for Partial Differential Equations II

Meshfree Methods for Partial Differential Equations II
  • Author : Michael Griebel,Marc Alexander Schweitzer
  • Publisher : Springer Science & Business Media
  • Release Date : 2004-12-02
  • Total pages : 311
  • ISBN : 0128141077
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Summary : The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily ...

Extended Finite Element Method

Extended Finite Element Method
  • Author : Soheil Mohammadi
  • Publisher : John Wiley & Sons
  • Release Date : 2008-04-30
  • Total pages : 280
  • ISBN : 0128141077
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Summary : This important textbook provides an introduction to the concepts of the newly developed extended finite element method (XFEM) for fracture analysis of structures, as well as for other related engineering applications. One of the main advantages of the method is that it avoids any need for remeshing or geometric crack ...

Extended Finite Element Method for Crack Propagation

Extended Finite Element Method for Crack Propagation
  • Author : Sylvie Pommier,Anthony Gravouil,Nicolas Moes,Alain Combescure
  • Publisher : John Wiley & Sons
  • Release Date : 2013-03-04
  • Total pages : 254
  • ISBN : 0128141077
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Summary : Novel techniques for modeling 3D cracks and their evolution in solids are presented. Cracks are modeled in terms of signed distance functions (level sets). Stress, strain and displacement field are determined using the extended finite elements method (X-FEM). Non-linear constitutive behavior for the crack tip region are developed within this ...

An Extended Finite Element Method with Discontinuous Enrichment for Applied Mechanics

An Extended Finite Element Method with Discontinuous Enrichment for Applied Mechanics
  • Author : John Everett Dolbow
  • Publisher : Unknown
  • Release Date : 1999
  • Total pages : 396
  • ISBN : 0128141077
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Summary : The modeling of a discontinuous field with a standard finite element approximation presents unique challenges. The construction of an approximating space which is discontinuous across a given line or surface places strict restrictions on the finite element mesh. The simulation of an evolution of the discontinuity is in turn burdened ...

Meshfree Methods for Partial Differential Equations V

Meshfree Methods for Partial Differential Equations V
  • Author : Michael Griebel,Marc Alexander Schweitzer
  • Publisher : Springer Science & Business Media
  • Release Date : 2010-11-04
  • Total pages : 270
  • ISBN : 0128141077
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Summary : The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is an extremely active research field, both in the mathematics and engineering communities. Meshfree methods are becoming increasingly mainstream in various applications. Due to their independence of a mesh, particle schemes and meshfree methods can deal ...