Extended Finite Element Method for Crack Propagation
Title | Extended Finite Element Method for Crack Propagation PDF eBook |
Author | Sylvie Pommier |
Publisher | John Wiley & Sons |
Pages | 271 |
Release | 2013-03-04 |
Genre | Technology & Engineering |
ISBN | 1118622693 |
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 for Crack Propagation
Title | Extended Finite Element Method for Crack Propagation PDF eBook |
Author | Sylvie Pommier |
Publisher | Wiley-ISTE |
Pages | 0 |
Release | 2011-02-21 |
Genre | Technology & Engineering |
ISBN | 9781848212091 |
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
Title | Extended Finite Element Method PDF eBook |
Author | Amir R. Khoei |
Publisher | John Wiley & Sons |
Pages | 600 |
Release | 2015-02-23 |
Genre | Science |
ISBN | 1118457684 |
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 and Meshfree Methods
Title | Extended Finite Element and Meshfree Methods PDF eBook |
Author | Timon Rabczuk |
Publisher | Academic Press |
Pages | 638 |
Release | 2019-11-13 |
Genre | Technology & Engineering |
ISBN | 0128141077 |
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
Title | Extended Finite Element Method PDF eBook |
Author | Zhuo Zhuang |
Publisher | Academic Press |
Pages | 285 |
Release | 2014-03-24 |
Genre | Technology & Engineering |
ISBN | 0124078567 |
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
Micro-scale Crack Propagation Using the EXtended Finite Element Method (XFEM)
Title | Micro-scale Crack Propagation Using the EXtended Finite Element Method (XFEM) PDF eBook |
Author | Rafael A. Jorge Jaime |
Publisher | |
Pages | 154 |
Release | 2015 |
Genre | Finite element method |
ISBN |
Extended Finite Element Method
Title | Extended Finite Element Method PDF eBook |
Author | Soheil Mohammadi |
Publisher | John Wiley & Sons |
Pages | 280 |
Release | 2008-04-30 |
Genre | Technology & Engineering |
ISBN | 0470697997 |
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.