Extended Finite Element Method

Extended Finite Element Method
Author: Amir R. Khoei
Publsiher: John Wiley & Sons
Total Pages: 584
Release: 2015-02-23
ISBN 10: 1118457684
ISBN 13: 9781118457689
Language: EN, FR, DE, ES & NL

Extended Finite Element Method Book Review:

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
Author: Zhuo Zhuang,Zhanli Liu,Binbin Cheng,Jianhui Liao
Publsiher: Academic Press
Total Pages: 286
Release: 2014-03-24
ISBN 10: 0124078567
ISBN 13: 9780124078567
Language: EN, FR, DE, ES & NL

Extended Finite Element Method Book Review:

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 for Crack Propagation

Extended Finite Element Method for Crack Propagation
Author: Sylvie Pommier,Anthony Gravouil,Nicolas Moes,Alain Combescure
Publsiher: John Wiley & Sons
Total Pages: 254
Release: 2013-03-04
ISBN 10: 1118622693
ISBN 13: 9781118622698
Language: EN, FR, DE, ES & NL

Extended Finite Element Method for Crack Propagation Book Review:

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: Soheil Mohammadi
Publsiher: John Wiley & Sons
Total Pages: 280
Release: 2008-04-30
ISBN 10: 0470697997
ISBN 13: 9780470697993
Language: EN, FR, DE, ES & NL

Extended Finite Element Method Book Review:

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 and Meshfree Methods

Extended Finite Element and Meshfree Methods
Author: Rabczuk Timon,Jeong-Hoon Song,Xiaoying Zhuang,Cosmin Anitescu
Publsiher: Academic Press
Total Pages: 400
Release: 2019-02-15
ISBN 10: 9780128141069
ISBN 13: 0128141069
Language: EN, FR, DE, ES & NL

Extended Finite Element and Meshfree Methods Book Review:

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

Xfem

Xfem
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 2014
ISBN 10: 1928374650XXX
ISBN 13: OCLC:915406660
Language: EN, FR, DE, ES & NL

Xfem Book Review:

Extended Finite Element Method

Extended Finite Element Method
Author: Anonim
Publsiher: Unknown
Total Pages: 264
Release: 2011
ISBN 10: 1928374650XXX
ISBN 13: OCLC:756342084
Language: EN, FR, DE, ES & NL

Extended Finite Element Method Book Review:

Geometrically Unfitted Finite Element Methods and Applications

Geometrically Unfitted Finite Element Methods and Applications
Author: Stéphane P. A. Bordas,Erik Burman,Mats G. Larson,Maxim A. Olshanskii
Publsiher: Springer
Total Pages: 361
Release: 2018-03-13
ISBN 10: 3319714317
ISBN 13: 9783319714318
Language: EN, FR, DE, ES & NL

Geometrically Unfitted Finite Element Methods and Applications Book Review:

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 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
Author: Alaskar Alizada
Publsiher: Unknown
Total Pages: 171
Release: 2012-12-14
ISBN 10: 9783844015034
ISBN 13: 3844015035
Language: EN, FR, DE, ES & NL

The EXtended Finite Element Method XFEM with Adaptive Mesh Refinement for Fracture Mechanics Book Review:

Dynamic Extended Finite Element Method XFEM Analysis of Discontinuous Media

Dynamic Extended Finite Element Method  XFEM  Analysis of Discontinuous Media
Author: Milad Toolabi
Publsiher: Unknown
Total Pages: 135
Release: 2015
ISBN 10: 1928374650XXX
ISBN 13: OCLC:1063616265
Language: EN, FR, DE, ES & NL

Dynamic Extended Finite Element Method XFEM Analysis of Discontinuous Media Book Review:

Extended Finite Element Method

Extended Finite Element Method
Author: Jafar Rouzegar
Publsiher: LAP Lambert Academic Publishing
Total Pages: 88
Release: 2015-04-17
ISBN 10: 9783659697302
ISBN 13: 3659697303
Language: EN, FR, DE, ES & NL

Extended Finite Element Method Book Review:

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.

Computational Methods for Fracture in Porous Media

Computational Methods for Fracture in Porous Media
Author: René de Borst
Publsiher: Elsevier
Total Pages: 206
Release: 2017-10-30
ISBN 10: 0081009232
ISBN 13: 9780081009239
Language: EN, FR, DE, ES & NL

Computational Methods for Fracture in Porous Media Book Review:

Computational Methods for Fracture in Porous Media: Isogeometric and Extended Finite Element Methods provides a self-contained presentation of new modeling techniques for simulating crack propagation in fluid-saturated porous materials. This book reviews the basic equations that govern fluid-saturated porous media. A multi-scale approach to modeling fluid transport in joins, cracks, and faults is described in such a way that the resulting formulation allows for a sub-grid representation of the crack and fluid flow in the crack. Interface elements are also analyzed with their extension to the hydromechanical case. The flexibility of Extended Finite Element Method for non-stationary cracks is also explored and their formulation for fracture in porous media described. This book introduces Isogeometric finite element methods and its basic features and properties. The rapidly evolving phase-field approach to fracture is also discussed. The applications of this book’s content cover various fields of engineering, making it a valuable resource for researchers in soil, rock and biomechanics. Teaches both new and upcoming computational techniques for simulating fracture in (partially) fluid-saturated porous media Helps readers learn how to couple modern computational methods with non-linear fracture mechanics and flow in porous media Presents tactics on how to simulate fracture propagation in hydraulic fracturing

Special Issue Extended Finite Element Method

Special Issue  Extended Finite Element Method
Author: Thomas-Peter Fries,European Community on Computational Methods in Applied Sciences
Publsiher: Unknown
Total Pages: 264
Release: 2011
ISBN 10: 1928374650XXX
ISBN 13: OCLC:837758332
Language: EN, FR, DE, ES & NL

Special Issue Extended Finite Element Method Book Review:

XFEM Fracture Analysis of Composites

XFEM Fracture Analysis of Composites
Author: Soheil Mohammadi
Publsiher: John Wiley & Sons
Total Pages: 400
Release: 2012-08-27
ISBN 10: 1118443381
ISBN 13: 9781118443385
Language: EN, FR, DE, ES & NL

XFEM Fracture Analysis of Composites Book Review:

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 numericalproblems and solutions, and MATLAB examples on an accompanyingwebsite with further XFEM resources Provides a comprehensive overview of this new area of research,including a review of Fracture Mechanics, basic through to advancedXFEM theory, as well as current problems and applications Includes a chapter on the future developments in the field, newresearch areas and possible future applications of the method

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
Author: Michael McNary
Publsiher: Unknown
Total Pages: 135
Release: 2009
ISBN 10: 1928374650XXX
ISBN 13: OCLC:522282046
Language: EN, FR, DE, ES & NL

Implementation of the Extended Finite Element Method XFEM in the Abaqus Software Package Book Review:

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.

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures
Author: Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
Publsiher: John Wiley & Sons
Total Pages: 830
Release: 2014-01-07
ISBN 10: 1118632702
ISBN 13: 9781118632703
Language: EN, FR, DE, ES & NL

Nonlinear Finite Elements for Continua and Structures Book Review:

This updated and expanded edition of the bestselling textbook provides a comprehensive introduction to the methods and theory of nonlinear finite element analysis. New material provides a concise introduction to some of the cutting-edge methods that have evolved in recent years in the field of nonlinear finite element modeling, and includes the eXtended finite element method (XFEM), multiresolution continuum theory for multiscale microstructures, and dislocation-density-based crystalline plasticity. Nonlinear Finite Elements for Continua and Structures, Second Edition focuses on the formulation and solution of discrete equations for various classes of problems that are of principal interest in applications to solid and structural mechanics. Topics covered include the discretization by finite elements of continua in one dimension and in multi-dimensions; the formulation of constitutive equations for nonlinear materials and large deformations; procedures for the solution of the discrete equations, including considerations of both numerical and multiscale physical instabilities; and the treatment of structural and contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solid mechanics and how it can be implemented in finite element analysis Covers many of the material laws used in today's software and research Introduces advanced topics in nonlinear finite element modelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual and MATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, Second Edition is a must have textbook for graduate students in mechanical engineering, civil engineering, applied mathematics, engineering mechanics, and materials science, and is also an excellent source of information for researchers and practitioners in industry.

Finite Element Analysis for Biomedical Engineering Applications

Finite Element Analysis for Biomedical Engineering Applications
Author: Z. C. Yang
Publsiher: CRC Press
Total Pages: 302
Release: 2019-03-14
ISBN 10: 0429592159
ISBN 13: 9780429592157
Language: EN, FR, DE, ES & NL

Finite Element Analysis for Biomedical Engineering Applications Book Review:

Finite element analysis has been widely applied to study biomedical problems. This book aims to simulate some common medical problems using finite element advanced technologies, which establish a base for medical researchers to conduct further investigations. This book consists of four main parts: (1) bone, (2) soft tissues, (3) joints, and (4) implants. Each part starts with the structure and function of the biology and then follows the corresponding finite element advanced features, such as anisotropic nonlinear material, multidimensional interpolation, XFEM, fiber enhancement, UserHyper, porous media, wear, and crack growth fatigue analysis. The final section presents some specific biomedical problems, such as abdominal aortic aneurysm, intervertebral disc, head impact, knee contact, and SMA cardiovascular stent. All modeling files are attached in the appendixes of the book. This book will be helpful to graduate students and researchers in the biomedical field who engage in simulations of biomedical problems. The book also provides all readers with a better understanding of current advanced finite element technologies. Details finite element modeling of bone, soft tissues, joints, and implants Presents advanced finite element technologies, such as fiber enhancement, porous media, wear, and crack growth fatigue analysis Discusses specific biomedical problems, such as abdominal aortic aneurysm, intervertebral disc, head impact, knee contact, and SMA cardiovascular stent Explains principles for modeling biology Provides various descriptive modeling files

Micro scale Crack Propagation Using the EXtended Finite Element Method XFEM

Micro scale Crack Propagation Using the EXtended Finite Element Method  XFEM
Author: Rafael A. Jorge Jaime
Publsiher: Unknown
Total Pages: 154
Release: 2015
ISBN 10: 1928374650XXX
ISBN 13: OCLC:981250307
Language: EN, FR, DE, ES & NL

Micro scale Crack Propagation Using the EXtended Finite Element Method XFEM Book Review:

Strength Prediction of Adhesively Bonded Joints

Strength Prediction of Adhesively Bonded Joints
Author: Raul D. S. G. Campilho
Publsiher: CRC Press
Total Pages: 421
Release: 2017-05-25
ISBN 10: 1315353687
ISBN 13: 9781315353685
Language: EN, FR, DE, ES & NL

Strength Prediction of Adhesively Bonded Joints Book Review:

Adhesively-bonded joints provide many advantages over conventional mechanical fasteners and are increasingly receiving attention as an alternative to mechanical joints in engineering applications. The traditional fasteners usually result in the cutting of fibers and hence the introduction of stress concentrations, both of which reduce structural integrity. By contrast, bonded joints are more continuous and have potential advantages of strength-to-weight ratio, design flexibility, and ease of fabrication. This book provides an overview of available analytical methods as well as numerical methods.

The Finite Element Method Solid mechanics

The Finite Element Method  Solid mechanics
Author: O. C. Zienkiewicz,Robert Leroy Taylor,R. L. Taylor,Robert Lee Taylor
Publsiher: Butterworth-Heinemann
Total Pages: 459
Release: 2000
ISBN 10: 9780750650557
ISBN 13: 0750650559
Language: EN, FR, DE, ES & NL

The Finite Element Method Solid mechanics Book Review:

In the years since the fourth edition of this seminal work was published, active research has developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its application to advanced solid mechanics and also advanced fluid dynamics. Volume Two: Solid and Structural Mechanics is intended for readers studying structural mechanics at a higher level. Although it is an ideal companion volume to Volume One: The Basis, this advanced text also functions as a "stand-alone" volume, accessible to those who have been introduced to the Finite Element Method through a different route. Volume 1 of the Finite Element Method provides a complete introduction to the method and is essential reading for undergraduates, postgraduates and professional engineers. Volume 3 covers the whole range of fluid dynamics and is ideal reading for postgraduate students and professional engineers working in this discipline. Coverage of the concepts necessary to model behaviour, such as viscoelasticity, plasticity and creep, as well as shells and plates.Up-to-date coverage of new linked interpolation methods for shell and plate formations.New material on non-linear geometry, stability and buckling of structures and large deformations.