Extended Finite Element Method
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Partition Of Unity Methods
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Author : Stéphane P. A. Bordas
language : en
Publisher: John Wiley & Sons
Release Date : 2023-10-19
Partition Of Unity Methods written by Stéphane P. A. Bordas 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 2023-10-19 with Technology & Engineering categories.
PARTITION OF UNITY METHODS Master the latest tool in computational mechanics with this brand-new resource from distinguished leaders in the field While it is the number one tool for computer aided design and engineering, the finite element method (FEM) has difficulties with discontinuities, singularities, and moving boundaries. Partition of unity methods addresses these challenges and is now increasingly implemented in commercially available software. Partition of Unity Methods delivers a detailed overview of its fundamentals, in particular the extended finite element method for applications in solving moving boundary problems. The distinguished academics and authors introduce the XFEM as a natural extension of the traditional finite element method (FEM), through straightforward one-dimensional examples which form the basis for the subsequent introduction of higher dimensional problems. This book allows readers to fully understand and utilize XFEM just as it becomes ever more crucial to industry practice. Partition of Unity Methods explores all essential topics on this key new technology, including: Coverage of the difficulties faced by the finite element method and the impetus behind the development of XFEM The basics of the finite element method, with discussions of finite element formulation of linear elasticity and the calculation of the force vector An introduction to the fundamentals of enrichment A revisitation of the partition of unity enrichment A description of the geometry of enrichment features, with discussions of level sets for stationary interfaces Application of XFEM to bio-film, gradient theories, and three dimensional crack propagation Perfect for researchers and postdoctoral candidates working in the field of computational mechanics, Partition of Unity Methods also has a place in the libraries of senior undergraduate and graduate students working in the field. Finite element and CFD analysts and developers in private industry will also greatly benefit from this book.
Xfem
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Author :
language : en
Publisher:
Release Date : 2014
Xfem written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
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 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.
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.
Dynamic Extended Finite Element Method Xfem Analysis Of Discontinuous Media
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Author : Milad Toolabi
language : en
Publisher:
Release Date : 2015
Dynamic Extended Finite Element Method Xfem Analysis Of Discontinuous Media written by Milad Toolabi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
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 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.
Extended Finite Element Method
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Author : Jafar Rouzegar
language : en
Publisher: LAP Lambert Academic Publishing
Release Date : 2015-04-17
Extended Finite Element Method written by Jafar Rouzegar and has been published by LAP Lambert Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-17 with categories.
In the extended finite element method (XFEM), a standard displacement based finite element approximation is enriched by additional (special) functions using the framework of partition of unity. In the XFEM, the finite element mesh need not conform to the internal boundaries (cracks, material interfaces, voids, etc.), and hence a single mesh suffices for modeling as well as capturing the evolution of material interfaces and cracks. This book mainly focuses on the application of XFEM in modeling dynamic fracture in thin plates and shells. New crack tip enrichment functions are extracted from analytical solutions and several enrichment schemes are introduced for various elements. As an application, the problem of cracked thin tubes under gaseous detonation loading is simulated by the introduced Dynamic-XFEM formulation and the obtained response of the tube to moving detonation loading is compared with ANSYS-LS DYNA results.
Micro Scale Crack Propagation Using The Extended Finite Element Method Xfem
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Author : Rafael A. Jorge Jaime
language : en
Publisher:
Release Date : 2015
Micro Scale Crack Propagation Using The Extended Finite Element Method Xfem written by Rafael A. Jorge Jaime and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Finite element method categories.