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 : 17 October 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

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 : 04 March 2013
GET THIS BOOKExtended Finite Element Method for Crack Propagation

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 framework to account for non-linear effect in crack propagation. Applications for static or dynamics case are provided.

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

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

Advances in Meshfree and X-fem Methods

Advances in Meshfree and X-fem Methods
  • Author : Liu Gui Rong
  • Publisher : Unknown Publisher
  • Release : 17 October 2021
GET THIS BOOKAdvances in Meshfree and X-fem Methods

Annotation. 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

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

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
  • Release : 03 February 2011
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

Mesh Free Methods

Mesh Free Methods
  • Author : G.R. Liu
  • Publisher : CRC Press
  • Release : 29 July 2002
GET THIS BOOKMesh Free Methods

As we attempt to solve engineering problems of ever increasing complexity, so must we develop and learn new methods for doing so. The Finite Difference Method used for centuries eventually gave way to Finite Element Methods (FEM), which better met the demands for flexibility, effectiveness, and accuracy in problems involving complex geometry. Now,

Error Estimates for Advanced Galerkin Methods

Error Estimates for Advanced Galerkin Methods
  • Author : Marcus Olavi Rüter
  • Publisher : Springer Nature
  • Release : 07 November 2019
GET THIS BOOKError Estimates for Advanced Galerkin Methods

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 methods introduced are considered advanced methods because they remedy certain shortcomings of the well-established finite element method, which is the archetypal Galerkin (mesh-based) method. In particular, this monograph focuses on

Advances in Applied Mechanics

Advances in Applied Mechanics
  • Author : Daniel S. Balint,Stephane P.A. Bordas
  • Publisher : Academic Press
  • Release : 01 November 2020
GET THIS BOOKAdvances in Applied Mechanics

Advances in Applied Mechanics, Volume 53 in this ongoing series, highlights new advances in the field, with this new volume presenting interesting chapters on Phase field modelling of fracture, Advanced geometry representations and tools for microstructural and multiscale modelling, The material point method: the past and the future, From Experimental Modeling of Shotcrete to Large Scale Numerical Simulations of Tunneling, and Material point method after 25 years: theory, implementation, applications. Provides the authority and expertise of leading contributors from an international board

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 Publisher
  • Release : 17 October 1999
GET THIS BOOKAn Extended Finite Element Method with Discontinuous Enrichment for Applied Mechanics

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 by the requirement to remesh at each stage of the calculation. This work approaches the problem by locally enriching the standard element-based approximation with discontinuous functions. The enriched basis is