Extended Finite Element Method
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Extended Finite Element Method
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Author : Amir R. Khoei
language : en
Publisher: John Wiley & Sons
Release Date : 2015-02-23
Extended Finite Element Method written by Amir R. Khoei and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-23 with Science categories.
Introduces the theory and applications of the extended finite element method (XFEM) in the linear and nonlinear problems of continua, structures and geomechanics Explores the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. Covers numerous applications of XFEM including fracture mechanics, large deformation, plasticity, multiphase flow, hydraulic fracturing and contact problems Accompanied by a website hosting source code and examples
Extended Finite Element Method
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Author : Zhuo Zhuang
language : en
Publisher: Academic Press
Release Date : 2014-03-24
Extended Finite Element Method written by Zhuo Zhuang and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-24 with Technology & Engineering categories.
Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials. Authored by an expert team from one of China's leading academic and research institutions Offers complete coverage of XFEM, from fundamentals to applications, with numerous examples Provides the understanding needed to effectively use the latest XFEM code and software tools to model and simulate dynamic crack problems
Extended Finite Element And Meshfree Methods
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Author : Timon Rabczuk
language : en
Publisher: Academic Press
Release Date : 2019-11-13
Extended Finite Element And Meshfree Methods written by Timon Rabczuk and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-13 with Technology & Engineering categories.
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 Method For Crack Propagation
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Author : Sylvie Pommier
language : en
Publisher: John Wiley & Sons
Release Date : 2013-03-04
Extended Finite Element Method For Crack Propagation written by Sylvie Pommier and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-04 with Technology & Engineering categories.
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
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Author : Soheil Mohammadi
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-30
Extended Finite Element Method written by Soheil Mohammadi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-30 with Technology & Engineering categories.
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 of degrees of freedom, far more accurate solutions can be obtained. The method has recently been extended to nonlinear materials and other disciplines such as modelling contact and interface, simulation of inclusions and holes, moving and changing phase problems, and even to multiscale analyses. The book is self contained, with summaries of both classical and modern computational techniques. The main chapters include a comprehensive range of numerical examples describing various features of XFEM.
The Extended Finite Element Method Xfem With Adaptive Mesh Refinement For Fracture Mechanics
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Author : Alaskar Alizada
language : en
Publisher:
Release Date : 2012-12-14
The Extended Finite Element Method Xfem With Adaptive Mesh Refinement For Fracture Mechanics written by Alaskar Alizada and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-14 with categories.
Extended Finite Element Method
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Author : Zhuo Zhuang
language : en
Publisher: Academic Press
Release Date : 2014-03-31
Extended Finite Element Method written by Zhuo Zhuang and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-31 with Technology & Engineering categories.
Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials.
Xfem Fracture Analysis Of Composites
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Author : Soheil Mohammadi
language : en
Publisher: John Wiley & Sons
Release Date : 2012-08-27
Xfem Fracture Analysis Of Composites written by Soheil Mohammadi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-27 with Science categories.
This book describes the basics and developments of the new XFEM approach to fracture analysis of composite structures and materials. It provides state of the art techniques and algorithms for fracture analysis of structures including numeric examples at the end of each chapter as well as an accompanying website which will include MATLAB resources, executables, data files, and simulation 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 numerical problems and solutions, and MATLAB examples on an accompanying website with further XFEM resources Provides a comprehensive overview of this new area of research, including a review of Fracture Mechanics, basic through to advanced XFEM theory, as well as current problems and applications Includes a chapter on the future developments in the field, new research areas and possible future applications of the method
Damage Tolerance Analysis Using The Extended Finite Element Method
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Author : Mahmoud Rababah
language : en
Publisher:
Release Date : 2007
Damage Tolerance Analysis Using The Extended Finite Element Method written by Mahmoud Rababah and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with categories.
While the regular Finite Element Method (FEM) is well developed and robust, it is not particularly well suited to model evolving discontinuities, since the construction of a discontinuous space requires the element topology to be aligned with the geometry of the discontinuity. This in turn requires regeneration of the mesh as the discontinuity evolves, resulting in projection errors and a significant computational cost. The eXtended Finite Element Method (XFEM) is a new technique which was developed recently to account for the evolving discontinuities in the crack growth problems. In XFEM, special functions (discontinuous and near tip functions) are added to the regular FEM to model the discontinuities without regenerating the mesh. Using this property in XFEM, and assuming Linear Elastic Fracture Mechanics (LEFM) concept, the damage tolerance analysis to determine the time or the number of loading cycles required for a smaller pre-existent crack to grow to critical size can be accomplished more efficiently than that in the regular FEM. The derived XFEM-formulation has been effectively implemented and in-house computer code has been developed to find the stress intensity factors and to model the crack growth efficiently without re-meshing the structure. Numerous benchmark 2-D problems with cracks located at different locations and inclined in different angles have been investigated and the results are validated with those available in the literature. Finally, the potential application of XFEM in damage tolerance analysis has been demonstrated.
An Extended Finite Element Method With Discontinuous Enrichment For Applied Mechanics
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Author : John Everett Dolbow
language : en
Publisher:
Release Date : 1999
An Extended Finite Element Method With Discontinuous Enrichment For Applied Mechanics written by John Everett Dolbow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Discontinuous functions categories.
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 formed from a union of the set of nodal shape functions with a set of products of nodal shape functions and enrichment functions. The construction of the approximating space in this fashion places the formulation in the class of partition of unity methods. By aligning the discontinuities in the enrichment functions with a specified geometry, a discontinuous field is represented independently of the finite element mesh. This capability is shown to significantly extend the standard method for a number of applications in applied mechanics.