Extended 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 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

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  • Author : Timon Rabczuk
  • Publisher : Academic Press
  • Pages : 638 pages
  • ISBN : 0128141077
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKExtended Finite Element and Meshfree Methods

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

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

Advances in Meshfree and X-fem Methods

Advances in Meshfree and X-fem Methods
  • Author : Gui-Rong Liu
  • Publisher : World Scientific
  • Release : 27 February 2021
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,

Advances in Meshfree and X-fem Methods

Advances in Meshfree and X-fem Methods
  • Author : Gui-Rong Liu
  • Publisher : World Scientific
  • Release : 27 February 2021
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,

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

Finite Element Method: Concepts and Applications

Finite Element Method: Concepts and Applications
  • Author : Connie Mcguire
  • Publisher : Unknown Publisher
  • Release : 06 June 2019
GET THIS BOOKFinite Element Method: Concepts and Applications

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 parts called finite elements, in order to solve it. Algebraic equations are formulated for each element, which are then assembled into a larger set of equations that models the whole

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

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

Meshfree Methods for Partial Differential Equations

Meshfree Methods for Partial Differential Equations
  • Author : Michael Griebel,Marc A. Schweitzer
  • Publisher : Springer Science & Business Media
  • Release : 18 September 2002
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

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

XFEM Fracture Analysis of Composites

XFEM Fracture Analysis of Composites
  • Author : Soheil Mohammadi
  • Publisher : John Wiley & Sons
  • Release : 27 August 2012
GET THIS BOOKXFEM Fracture Analysis of Composites

This book describes the basics and developments of the new XFEMapproach to fracture analysis of composite structures andmaterials. It provides state of the art techniques and algorithmsfor fracture analysis of structures including numeric examples atthe end of each chapter as well as an accompanying website whichwill include MATLAB resources, executables, data files, andsimulation procedures of XFEM. The first reference text for the extended finite element method(XFEM) for fracture analysis of structures and materials Includes theory and applications, with worked

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

Computational Methods

Computational Methods
  • Author : G.R. Liu,V.B.C. Tan,X. Han
  • Publisher : Springer Science & Business Media
  • Release : 26 May 2007
GET THIS BOOKComputational Methods

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 particle methods, Generalized FE and Extended FE methods, inverse analysis and optimization methods. Computational methods for geomechanics, machine learning, vibration, shock, impact, health monitoring, material modeling, fracture and damage mechanics,

Encyclopedia of Applied and Computational Mathematics

Encyclopedia of Applied and Computational Mathematics
  • Author : Björn Engquist
  • Publisher : Springer
  • Release : 16 December 2016
GET THIS BOOKEncyclopedia of Applied and Computational Mathematics

EACM is a comprehensive reference work covering the vast field of applied and computational mathematics. Applied mathematics itself accounts for at least 60 per cent of mathematics, and the emphasis on computation reflects the current and constantly growing importance of computational methods in all areas of applications. EACM emphasizes the strong links of applied mathematics with major areas of science, such as physics, chemistry, biology, and computer science, as well as specific fields like atmospheric ocean science. In addition, the mathematical

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