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Extended Finite Element and Meshfree Methods

Extended Finite Element and Meshfree Methods
  • Author : Timon Rabczuk
  • Publsiher : Academic Press
  • Release : 13 November 2019
  • ISBN : 0128141077
  • Pages : 638 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKExtended Finite Element and Meshfree Methods

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 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 : 13 November 2019
GET THIS BOOKExtended Finite Element and Meshfree Methods

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

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Extended Finite Element Method

Extended Finite Element Method
  • Author : Amir R. Khoei
  • Publisher : John Wiley & Sons
  • Release : 23 February 2015
GET THIS BOOKExtended Finite Element Method

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, structures and geomechanics. The XFEM approach is based on an extension of standard finite element method based on the partition of unity method. Extended Finite Element Method: Theory and Applications

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Advances in Meshfree and X-fem Methods

Advances in Meshfree and X-fem Methods
  • Author : Gui-Rong Liu
  • Publisher : World Scientific
  • Release : 22 May 2022
GET THIS BOOKAdvances in Meshfree and X-fem Methods

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 meshfree methods are also presented. The areas of applications of meshfree methods include solving general partial differential equations, the mechanics of solids and structures, smart material/structures, soil-structures, fracture mechanics,

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Advances in Meshfree and X-FEM Methods

Advances in Meshfree and X-FEM Methods
  • Author : G R Liu
  • Publisher : World Scientific
  • Release : 16 December 2002
GET THIS BOOKAdvances in Meshfree and X-FEM Methods

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 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

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Meshfree Methods for Partial Differential Equations

Meshfree Methods for Partial Differential Equations
  • Author : Michael Griebel,Marc A. Schweitzer
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKMeshfree Methods for Partial Differential Equations

Meshfree methods for the solution of partial differential equations gained much attention in recent years, not only in the engineering but also in the mathematics community. One of the reasons for this development is the fact that meshfree discretizations and particle models are often better suited to cope with geometric changes of the domain of interest, e.g. free surfaces and large deformations, than classical discretization techniques such as finite differences, finite elements or finite volumes. Another obvious advantage of

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An Introduction to Meshfree Methods and Their Programming

An Introduction to Meshfree Methods and Their Programming
  • Author : G.R. Liu,Y.T. Gu
  • Publisher : Springer Science & Business Media
  • Release : 05 December 2005
GET THIS BOOKAn Introduction to Meshfree Methods and Their Programming

The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree

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Extended Finite Element Method

Extended Finite Element Method
  • Author : Soheil Mohammadi
  • Publisher : John Wiley & Sons
  • Release : 30 April 2008
GET THIS BOOKExtended Finite Element Method

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 modelling in numerical simulation, while generating discontinuous fields along a crack and around its tip. The second major advantage of the method is that by a small increase in number

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Meshless Methods and Their Numerical Properties

Meshless Methods and Their Numerical Properties
  • Author : Hua Li,Shantanu S. Mulay
  • Publisher : CRC Press
  • Release : 22 February 2013
GET THIS BOOKMeshless Methods and Their Numerical Properties

Meshless, or meshfree methods, which overcome many of the limitations of the finite element method, have achieved significant progress in numerical computations of a wide range of engineering problems. A comprehensive introduction to meshless methods, Meshless Methods and Their Numerical Properties gives complete mathematical formulations for the most important and classical methods, as well as several methods recently developed by the authors. This book also offers a rigorous mathematical treatment of their numerical properties—including consistency, convergence, stability, and adaptivity—

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Computational Fluid and Solid Mechanics

Computational Fluid and Solid Mechanics
  • Author : K.J. Bathe
  • Publisher : Elsevier
  • Release : 21 May 2001
GET THIS BOOKComputational Fluid and Solid Mechanics

The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of

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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 : 26 May 2007
GET THIS BOOKAdvances in Meshfree Techniques

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 reduction methods and its range of applications. The material presented is appropriate for researchers, engineers, physicists, applied mathematicians and graduate students interested in this active research area.

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Progress on Meshless Methods

Progress on Meshless Methods
  • Author : A. J. M. Ferreira,E. J. Kansa,G. E. Fasshauer,V.M.A. Leitao
  • Publisher : Springer Science & Business Media
  • Release : 23 November 2008
GET THIS BOOKProgress on Meshless Methods

In recent years meshless/meshfree methods have gained considerable attention in engineering and applied mathematics. The variety of problems that are now being addressed by these techniques continues to expand and the quality of the results obtained demonstrates the effectiveness of many of the methods currently available. The book presents a significant sample of the state of the art in the field with methods that have reached a certain level of maturity while also addressing many open issues. The book

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Stochastic Dynamics of Structures

Stochastic Dynamics of Structures
  • Author : Abdelkhalak El Hami,Bouchaib Radi
  • Publisher : John Wiley & Sons
  • Release : 22 November 2016
GET THIS BOOKStochastic Dynamics of Structures

This book is dedicated to the general study of the dynamics of mechanical structures with consideration of uncertainties. The goal is to get the appropriate forms of a part in minimizing a given criterion. In all fields of structural mechanics, the impact of good design of a room is very important to its strength, its life and its use in service. The development of the engineer's art requires considerable effort to constantly improve structural design techniques.

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Meshfree Methods for Partial Differential Equations IV

Meshfree Methods for Partial Differential Equations IV
  • Author : Michael Griebel,Marc Alexander Schweitzer
  • Publisher : Springer Science & Business Media
  • Release : 10 October 2008
GET THIS BOOKMeshfree Methods for Partial Differential Equations IV

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 than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings

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The Finite Element Method in Engineering

The Finite Element Method in Engineering
  • Author : Singiresu S. Rao
  • Publisher : Butterworth-Heinemann
  • Release : 31 October 2017
GET THIS BOOKThe Finite Element Method in Engineering

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 how to set up finite element solutions in civil, mechanical and aerospace engineering applications. The new edition features updated real-world examples from MATLAB, Ansys and Abaqus, and a new chapter

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