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Extended Finite Element Method for Crack Propagation

Extended Finite Element Method for Crack Propagation
A Book

by Sylvie Pommier,Anthony Gravouil,Nicolas Moes,Alain Combescure

  • Publisher : John Wiley & Sons
  • Release : 2013-03-04
  • Pages : 254
  • ISBN : 1118622693
  • Language : En, Es, Fr & De
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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
Theory and Applications

by Amir R. Khoei

  • Publisher : John Wiley & Sons
  • Release : 2015-02-23
  • Pages : 584
  • ISBN : 1118457684
  • Language : En, Es, Fr & De
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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 begins by introducing the concept of partition of unity, various enrichment functions, and fundamentals of XFEM formulation. It then covers the theory and application of XFEM in large deformations, plasticity and contact problems. The implementation of XFEM in fracture mechanics, including the linear, cohesive, and ductile crack propagation is also covered. The theory and applications of the XFEM in multiphase fluid flow, including the hydraulic fracturing in soil saturated media and crack propagation in thermo-hydro-mechanical porous media, is also discussed in detail. 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

Extended Finite Element Method
for Fracture Analysis of Structures

by Soheil Mohammadi

  • Publisher : John Wiley & Sons
  • Release : 2008-04-30
  • Pages : 280
  • ISBN : 0470697997
  • Language : En, Es, Fr & De
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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

Extended Finite Element Method
Tsinghua University Press Computational Mechanics Series

by Zhuo Zhuang,Zhanli Liu,Binbin Cheng,Jianhui Liao

  • Publisher : Academic Press
  • Release : 2014-03-24
  • Pages : 286
  • ISBN : 0124078567
  • Language : En, Es, Fr & De
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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

Xfem

Xfem
The Extended Finite Element Method

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2014
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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The EXtended Finite Element Method (XFEM) with Adaptive Mesh Refinement for Fracture Mechanics

The EXtended Finite Element Method (XFEM) with Adaptive Mesh Refinement for Fracture Mechanics
A Book

by Alaskar Alizada

  • Publisher : Unknown Publisher
  • Release : 2012-12-14
  • Pages : 171
  • ISBN : 9783844015034
  • Language : En, Es, Fr & De
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The Finite Element Method: Its Basis and Fundamentals

The Finite Element Method: Its Basis and Fundamentals
A Book

by Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu

  • Publisher : Elsevier
  • Release : 2005-05-26
  • Pages : 752
  • ISBN : 9780080472775
  • Language : En, Es, Fr & De
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The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text

Extended Finite Element Method

Extended Finite Element Method
A Book

by Jafar Rouzegar

  • Publisher : LAP Lambert Academic Publishing
  • Release : 2015-04-17
  • Pages : 88
  • ISBN : 9783659697302
  • Language : En, Es, Fr & De
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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.

Geometrically Unfitted Finite Element Methods and Applications

Geometrically Unfitted Finite Element Methods and Applications
Proceedings of the UCL Workshop 2016

by Stéphane P. A. Bordas,Erik Burman,Mats G. Larson,Maxim A. Olshanskii

  • Publisher : Springer
  • Release : 2018-03-13
  • Pages : 361
  • ISBN : 3319714317
  • Language : En, Es, Fr & De
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This book provides a snapshot of the state of the art of the rapidly evolving field of integration of geometric data in finite element computations. The contributions to this volume, based on research presented at the UCL workshop on the topic in January 2016, include three review papers on core topics such as fictitious domain methods for elasticity, trace finite element methods for partial differential equations defined on surfaces, and Nitsche’s method for contact problems. Five chapters present original research articles on related theoretical topics, including Lagrange multiplier methods, interface problems, bulk-surface coupling, and approximation of partial differential equations on moving domains. Finally, two chapters discuss advanced applications such as crack propagation or flow in fractured poroelastic media. This is the first volume that provides a comprehensive overview of the field of unfitted finite element methods, including recent techniques such as cutFEM, traceFEM, ghost penalty, and augmented Lagrangian techniques. It is aimed at researchers in applied mathematics, scientific computing or computational engineering.

The Finite Element Method Set

The Finite Element Method Set
A Book

by Olek C Zienkiewicz,Robert L Taylor

  • Publisher : Elsevier
  • Release : 2005-11-25
  • Pages : 1872
  • ISBN : 9780080531670
  • Language : En, Es, Fr & De
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The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Implementation of the Extended Finite Element Method (XFEM) in the Abaqus Software Package

Implementation of the Extended Finite Element Method (XFEM) in the Abaqus Software Package
A Book

by Michael McNary

  • Publisher : Unknown Publisher
  • Release : 2009
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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This work describes the implementation of the eXtended Finite Element Method (XFEM) in the Abaqus software package. A user-defined element was developed containing the analytical functions relating to homogeneous and interface fracture mechanics. The long-term goal of such work is to increase the ability to analyze fractures and other imperfections in multimaterial systems containing large elastic mismatches, such as flexible electronics. A review of XFEM-related literature is presented, as well as an overview of fracture mechanics for both homogeneous and interface systems. The theoretical basis of the XFEM is then covered, including the concepts of Partition of Unity and stress intensity factor evaluation. Finally, numerical results of the implementation are compared to several benchmark cases, along with conclusions and suggestions for future work.

Static and Dynamic Crack Propagation in Brittle Materials with XFEM

Static and Dynamic Crack Propagation in Brittle Materials with XFEM
A Book

by Fleming Petri, Wagner Carlos

  • Publisher : kassel university press GmbH
  • Release : 2013-01-01
  • Pages : 231
  • ISBN : 3862194361
  • Language : En, Es, Fr & De
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The aim of this thesis is the simulation of progressive damage in brittle materials due to cracking. With this aim, the mathematical crack model will be solved using the eXtended Finite Element Method for the spatial discretization and time integration schemes for the numerical integration in the time domain. The time integration schemes considered are the Generalized-? method, the continuous GALERKIN method and the discontinuous GALERKIN method.

Computational Methods for Fracture

Computational Methods for Fracture
A Book

by Timon Rabczuk

  • Publisher : MDPI
  • Release : 2019-10-28
  • Pages : 404
  • ISBN : 3039216864
  • Language : En, Es, Fr & De
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This book offers a collection of 17 scientific papers about the computational modeling of fracture. Some of the manuscripts propose new computational methods and/or how to improve existing cutting edge methods for fracture. These contributions can be classified into two categories: 1. Methods which treat the crack as strong discontinuity such as peridynamics, scaled boundary elements or specific versions of the smoothed finite element methods applied to fracture and 2. Continuous approaches to fracture based on, for instance, phase field models or continuum damage mechanics. On the other hand, the book also offers a wide range of applications where state-of-the-art techniques are employed to solve challenging engineering problems such as fractures in rock, glass, concrete. Also, larger systems such as fracture in subway stations due to fire, arch dams, or concrete decks are studied.

Micro-scale Crack Propagation Using the EXtended Finite Element Method (XFEM)

Micro-scale Crack Propagation Using the EXtended Finite Element Method (XFEM)
A Book

by Rafael A. Jorge Jaime

  • Publisher : Unknown Publisher
  • Release : 2015
  • Pages : 154
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Dynamic Extended Finite Element Method (XFEM) Analysis of Discontinuous Media

Dynamic Extended Finite Element Method (XFEM) Analysis of Discontinuous Media
A Book

by Milad Toolabi

  • Publisher : Unknown Publisher
  • Release : 2015
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Extended Finite Element Method

Extended Finite Element Method
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2011
  • Pages : 264
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Industrial Communication Technology Handbook, Second Edition

Industrial Communication Technology Handbook, Second Edition
A Book

by Richard Zurawski

  • Publisher : CRC Press
  • Release : 2014-11-07
  • Pages : 1756
  • ISBN : 113800149X
  • Language : En, Es, Fr & De
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Featuring contributions from major technology vendors, industry consortia, and government and private research establishments, the Industrial Communication Technology Handbook, Second Edition provides comprehensive and authoritative coverage of wire- and wireless-based specialized communication networks used in plant and factory automation, automotive applications, avionics, building automation, energy and power systems, train applications, and more. New to the Second Edition: 46 brand-new chapters and 21 substantially revised chapters Inclusion of the latest, most significant developments in specialized communication technologies and systems Addition of new application domains for specialized networks The Industrial Communication Technology Handbook, Second Edition supplies readers with a thorough understanding of the application-specific requirements for communication services and their supporting technologies. It is useful to a broad spectrum of professionals involved in the conception, design, development, standardization, and use of specialized communication networks as well as academic institutions engaged in engineering education and vocational training.

Advances in Energy, Environment and Materials Science

Advances in Energy, Environment and Materials Science
Proceedings of the International Conference on Energy, Environment and Materials Science (EEMS 2015), Guanghzou, P.R. China, August 25-26, 2015

by Yeping Wang,Jianhua Zhao

  • Publisher : CRC Press
  • Release : 2018-11-22
  • Pages : 856
  • ISBN : 1315640562
  • Language : En, Es, Fr & De
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The International Conference on Energy, Environment and Materials Science (EEMS2015) was held in Guangzhou, China, from August 25 - 26, 2015. EEMS2015 provided a platform for academic scientists, researchers and scholars to exchange and share their experiences and research results within the fields of energy science, energy technology, environmental science, environmental engineering, motivation, automation and electrical engineering, material science and engineering, the discovery or development of energy, and environment and materials science.

Error Estimates for Advanced Galerkin Methods

Error Estimates for Advanced Galerkin Methods
A Book

by Marcus Olavi Rüter

  • Publisher : Springer Nature
  • Release : 2019-11-07
  • Pages : 496
  • ISBN : 3030061736
  • Language : En, Es, Fr & De
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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 the systematical derivation of the shape functions used to construct both Galerkin mesh-based and meshfree methods. The mesh-based methods considered are the (conventional) displacement-based, (dual-)mixed, smoothed, and extended finite element methods. In addition, it introduces the element-free Galerkin and reproducing kernel particle methods as representatives of a class of Galerkin meshfree methods. Including illustrative numerical examples relevant to engineering with an emphasis on elastic fracture mechanics problems, this monograph is intended for students, researchers, and practitioners aiming to increase the reliability of their numerical simulations and wanting to better grasp the concepts of Galerkin methods and associated error estimation procedures.

Advances in Discretization Methods

Advances in Discretization Methods
Discontinuities, Virtual Elements, Fictitious Domain Methods

by Giulio Ventura,Elena Benvenuti

  • Publisher : Springer
  • Release : 2016-08-24
  • Pages : 269
  • ISBN : 3319412469
  • Language : En, Es, Fr & De
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This book gathers selected contributions on emerging research work presented at the International Conference eXtended Discretization MethodS (X-DMS), held in Ferrara in September 2015. It highlights the most relevant advances made at the international level in the context of expanding classical discretization methods, like finite elements, to the numerical analysis of a variety of physical problems. The improvements are intended to achieve higher computational efficiency and to account for special features of the solution directly in the approximation space and/or in the discretization procedure. The methods described include, among others, partition of unity methods (meshfree, XFEM, GFEM), virtual element methods, fictitious domain methods, and special techniques for static and evolving interfaces. The uniting feature of all contributions is the direct link between computational methodologies and their application to different engineering areas.