Extended Finite Element Method

Download full Extended Finite Element Method books PDF, EPUB, Tuebl, Textbook, Mobi or read online Extended Finite Element Method anytime and anywhere on any device. Get free access to the library by create an account, fast download and ads free.

Extended Finite Element Method

Extended Finite Element Method
  • Author : Amir R. Khoei
  • Publisher :
  • Release Date :2015-02-23
  • Total pages :584
  • ISBN : 1118457684
GET BOOK

Summary : 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
  • Publisher :
  • Release Date :2014-03-24
  • Total pages :286
  • ISBN : 0124078567
GET BOOK

Summary : 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
  • Publisher :
  • Release Date :2013-03-04
  • Total pages :254
  • ISBN : 1118622693
GET BOOK

Summary : 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.

XFEM - The Extended Finite Element Method

XFEM - The Extended Finite Element Method
  • Author : Stéphane Bordas,Alexander Menk
  • Publisher :
  • Release Date :2016-04-04
  • Total pages :288
  • ISBN : 9780470667088
GET BOOK

Summary : First book to offer a guide to the foundations of the XFEM and its implementation A revolution similar to that initiated by the FEM is taking place through the XFEM, which is already implemented in leading commercial packages (ABAQUS, ANSYS, etc.) that are taught at undergraduate and post-graduate levels and to industrial end-users. XFEM provides a detailed overview of the basics around the newly introduced extended finite element method for applications in solving moving boundary problems. XFEM is introduced naturally as an extension of FEM, through simple one dimensional examples which then allow the introduction of higher-dimensional problems. Throughout the book, each key concept is highlighted by the corresponding piece of MATLAB code which is provided via an accompanying web portal. Uniquely, this portal allows readers to obtain real-time feedback and help from an existing community of more than 130 researchers and industrialists. Demystifies the theory behind XFEM and makes it accessible to all with previous knowledge of the FEM Provides a simple introduction to XFEM but also provides a range of tools which the reader can build upon to take on a large breadth of more complex problems. Presents each key theoretical concept in parallel with its implementational aspects in the form of simple MATLAB routines provided along with the book via an interactive companion website and portal Provides a detailed account of applications of XFEM to fracture mechanics, including techniques absent from current literature

Extended Finite Element Method

Extended Finite Element Method
  • Author : Soheil Mohammadi
  • Publisher :
  • Release Date :2008-04-30
  • Total pages :280
  • ISBN : 0470697997
GET BOOK

Summary : 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
  • Publisher :
  • Release Date :2019-02-15
  • Total pages :400
  • ISBN : 9780128141069
GET BOOK

Summary : 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

Extended Finite Element Method
  • Author : Zhuo Zhuang,Zhanli Liu,Binbin Cheng,Jianhui Liao
  • Publisher :
  • Release Date :2014-03-24
  • Total pages :286
  • ISBN : 0124078567
GET BOOK

Summary : 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

A Regularized Extended Finite Element Method for Modeling the Coupled Cracking and Delamination of Composite Materials

A Regularized Extended Finite Element Method for Modeling the Coupled Cracking and Delamination of Composite Materials
  • Author : Michael James Swindeman
  • Publisher :
  • Release Date :2011
  • Total pages :90
  • ISBN :
GET BOOK

Summary : As the use of composite materials in aerospace structures continues to increase, the need to properly characterize these materials, especially in terms of damage tolerance, takes on additional importance. The world wide failure exercises (WWFE) are an example of the international interest in this issue. But though there has been a great deal of progress in understanding the initiation of damage and modeling damage propagation along known interfaces, methods that can capture the effects of interactions among various failure modes accurately remain elusive. A method of modeling coupled matrix cracks and delamination in laminated composite materials based on the finite element method has been developed and experimentally validated. Damage initiation is determined using the LARC03 failure criterion. Delamination along ply interfaces is modeled using cohesive zones. Matrix cracks are incorporated into the discretization of the problem domain through a robust Mesh-Independent Cracking (MIC) technique. The matrix cracking technique, termed the Regularized Extended Finite Element Method (Rx-FEM), uses regularized forms of the Heaviside and Dirac Delta generalized functions to transform the crack surface into a volumetric crack zone. The Regularized Extended Finite Element method is compared to benchmark cases. The sensitivity of the solution to mesh size and parameters within the cohesive zone model is studied. Finally, the full method with delamination is employed to study a set of experimental tests performed on open-hole quasi-isotropic laminates. The trends of hole-size and ply thickness are well predicted for the laminates. Rx-FEM is also able to simulate the pattern of damage, as demonstrated by comparisons to x-ray images. From the results of this series of analyses it can be concluded that failures occur when delamination originating at the hole links up with delamination originating at the edge along the path of matrix cracks.

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 :
  • Release Date :1999
  • Total pages :396
  • ISBN :
GET BOOK

Summary : 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.

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
  • Publisher :
  • Release Date :2012-12-14
  • Total pages :171
  • ISBN : 9783844015034
GET BOOK

Summary :

Code Verification for the EXtended Finite Element Method (XFEM)

Code Verification for the EXtended Finite Element Method (XFEM)
  • Author : N.A
  • Publisher :
  • Release Date :2011
  • Total pages :28
  • ISBN :
GET BOOK

Summary :

Computational Methods for Fracture in Porous Media

Computational Methods for Fracture in Porous Media
  • Author : René de Borst
  • Publisher :
  • Release Date :2017-10-30
  • Total pages :206
  • ISBN : 0081009232
GET BOOK

Summary : 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

An Extended Finite Element Method for Turbulent Premixed Combustion

An Extended Finite Element Method for Turbulent Premixed Combustion
  • Author : Florian Henke
  • Publisher :
  • Release Date :2013
  • Total pages :184
  • ISBN : 9783843911092
GET BOOK

Summary :

Medical Simulation

Medical Simulation
  • Author : Dimitris Metaxas,Stephane Cotin
  • Publisher :
  • Release Date :2004-06-11
  • Total pages :298
  • ISBN : 3540221867
GET BOOK

Summary : This book contains the written contributions to the International Symposium on th Medical Simulation (ISMS’04) held in Cambridge, Massachusetts, USA on June 17 th and June 18 , 2004. Manuscripts are organized around five thematic sections relating to the multidisciplinary field of Medical Simulation: Soft Tissue Properties and Modeling, Haptic Rendering, Real-Time Deformable Models, Anatomical Modeling, and Development Frameworks. The objectives of the symposium are to gather researchers to present their most recent, and promising work, to highlight research trends and foster dialogue and debates among participants. Live demonstrations are also included at the meeting, but cannot be included in this volume. Finally, to address questions about areas for improvement and future directions of the field, we organized a panel of experts including technical, medical and educational representatives. This event continues the successful symposium organized by Hervé Delingette and Nicholas Ayache, in France in June 2003. At that meeting we agreed that it would be beneficial for the community to have an annual gathering for the medical simulation community where researchers can exchange ideas and share their work in this emerging field. ISMS’04 is co-organized by CIMIT / Harvard Medical School and Rutgers University.

Finite Element Analysis for Biomedical Engineering Applications

Finite Element Analysis for Biomedical Engineering Applications
  • Author : Z. C. Yang
  • Publisher :
  • Release Date :2019-03-14
  • Total pages :302
  • ISBN : 0429592159
GET BOOK

Summary : 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

Structured Extended Finite Element Methods of Solids Defined by Implicit Surfaces

Structured Extended Finite Element Methods of Solids Defined by Implicit Surfaces
  • Author : N.A
  • Publisher :
  • Release Date :2002
  • Total pages :329
  • ISBN :
GET BOOK

Summary : A paradigm is developed for generating structured finite element models from solid models by means of implicit surface definitions. The implicit surfaces are defined by radial basis functions. Internal features, such as material interfaces, sliding interfaces and cracks are treated by enrichment techniques developed in the extended finite element method (X-FEM). Methods for integrating the weak form for such models are proposed. These methods simplify the generation of finite element models. Results presented for several examples show that the accuracy of this method is comparable to standard unstructured finite element methods.

Crack Identification Using Dynamic Extended Finite Element Method and Thermal Conductivity Engineering for Nanomaterials

Crack Identification Using Dynamic Extended Finite Element Method and Thermal Conductivity Engineering for Nanomaterials
  • Author : Chao Zhang
  • Publisher :
  • Release Date :2018
  • Total pages :329
  • ISBN :
GET BOOK

Summary :

Nonlinear Finite Elements for Continua and Structures

Nonlinear Finite Elements for Continua and Structures
  • Author : Ted Belytschko,Wing Kam Liu,Brian Moran,Khalil Elkhodary
  • Publisher :
  • Release Date :2013-11-25
  • Total pages :832
  • ISBN : 1118700082
GET BOOK

Summary : This updated and expanded edition of the bestselling textbookprovides a comprehensive introduction to the methods and theory ofnonlinear finite element analysis. New material provides a conciseintroduction to some of the cutting-edge methods that have evolvedin 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, SecondEdition focuses on the formulation and solution of discreteequations for various classes of problems that are of principalinterest in applications to solid and structural mechanics. Topicscovered include the discretization by finite elements of continuain one dimension and in multi-dimensions; the formulation ofconstitutive equations for nonlinear materials and largedeformations; procedures for the solution of the discreteequations, including considerations of both numerical andmultiscale physical instabilities; and the treatment of structuraland contact-impact problems. Key features: Presents a detailed and rigorous treatment of nonlinear solidmechanics and how it can be implemented in finite elementanalysis Covers many of the material laws used in today's software andresearch Introduces advanced topics in nonlinear finite elementmodelling of continua Introduction of multiresolution continuum theory and XFEM Accompanied by a website hosting a solution manual andMATLAB® and FORTRAN code Nonlinear Finite Elements for Continua and Structures, SecondEdition is a must have textbook for graduate students inmechanical engineering, civil engineering, applied mathematics,engineering mechanics, and materials science, and is also anexcellent source of information for researchers and practitionersin industry.

Strength Prediction of Adhesively-Bonded Joints

Strength Prediction of Adhesively-Bonded Joints
  • Author : Raul D. S. G. Campilho
  • Publisher :
  • Release Date :2017-05-25
  • Total pages :421
  • ISBN : 1498722474
GET BOOK

Summary : 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.

ECCOMAS Multidisciplinary Jubilee Symposium

ECCOMAS Multidisciplinary Jubilee Symposium
  • Author : Josef Eberhardsteiner,Christian Hellmich,Herbert A. Mang,Jacques Périaux
  • Publisher :
  • Release Date :2008-12-16
  • Total pages :360
  • ISBN : 1402092318
GET BOOK

Summary : This book contains 23 papers presented at the ECCOMAS Multidisciplinary Jubilee Symposium - New Computational Challenges in Materials, Structures, and Fluids (EMJS08), in Vienna, February 18–20, 2008. The main intention of EMJS08 was to react adequately to the increasing need for interdisciplinary research activities allowing ef?cient solution of complex problems in engineering and in the applied sciences. The 15th anniversary of ECCOMAS (European Community on Computational Methods in Applied Sciences) provided a suitable frame for taking the afo- mentioned situation into account by inviting distinguished colleagues from d- ferent areas of engineering and the applied sciences, encouraging them to choose multidisciplinary topics for their lectures. The main themes of EMJS08 have a long tradition in engineering and in the applied sciences: materials, structures, and ?uids. The solution of scienti?c pr- lems involving ?uids together with solids and structures, not to forget the materials the structures are made of, is of paramount importance in a technical world of rapidly increasing sophistication, referred to as the Leonardo World by the eminent German philosopher Ju ̈rgen Mittelstraß. More recently, the main themes of EMJS08 have gained considerable mom- tum, owing to signi?cant progress in nanotechnology. It enables resolution of a multitude of materials into their micro- and nanostructures. Covering aspects such as • Physical and chemical characterization • Multiscale modeling concepts, continuum micromechanics, and computational homogenization, as well as • Applications in various engineering ?elds the individual contributions to this book ?ow along different tracks of ?uids, materials, and structures.