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Book Mixed mode Dynamic Crack Propagation Using the Discontinuous Galerkin Method

Download or read book Mixed mode Dynamic Crack Propagation Using the Discontinuous Galerkin Method written by Russell Thomas Hollman and published by . This book was released on 2017 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A recently proposed Discontinuous Galerkin (DG) method for modeling nonlinear fracture mechanics problems in the context of the finite element method is investigated. The DG method provides a framework for fracture mechanics by employing interface elements within the region of interest where cracking is expected. Previous studies have shown that the use of traction-separation laws within the DG method have enhanced stability for dynamic problems by removing the issue of artificial compliance compared to intrinsic cohesive zone elements. The purpose of this thesis is to apply the DG method to a mixed-mode dynamic crack propagation problem, namely the Kalthoff-Winkler experiment. The Kalthoff-Winkler experiment is a benchmark dynamic fracture problem for predicting crack propagation in an impact-loaded prenotched plate. While this problem has been simulated using other numerical methods, the DG method has not yet been investigated in this mixed-mode dynamic context. Mesh sensitivity has been found in the case of intrinsic cohesive zone models; the inherent stability of the DG method in the dynamic context may lessen the degree of sensitivity. The DG method is applied to the Kalthoff-Winkler experiment using multiple meshes: structured and unstructured, linear and quadratic, coarse and refined, and the resultant crack paths from several simulations do not agree closely. An additional contribution of this thesis is a novel technique for visualizing cohesive element data through wireframe figures. The technique produces illustrations for visualizing zero-thickness interface elements as thin lines, upon which cohesive element data can be conveyed with color contouring. Possible explanations regarding the disagreement of simulated crack paths are suggested.

Book Extended Finite Element Method for Crack Propagation

Download or read book Extended Finite Element Method for Crack Propagation written by Sylvie Pommier and published by John Wiley & Sons. This book was released on 2013-03-04 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Dynamic Fracture

    Book Details:
  • Author : K. Ravi-Chandar
  • Publisher : Elsevier
  • Release : 2004-10-16
  • ISBN : 0080472559
  • Pages : 265 pages

Download or read book Dynamic Fracture written by K. Ravi-Chandar and published by Elsevier. This book was released on 2004-10-16 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic fracture in solids has attracted much attention for over a century from engineers as well as physicists due both to its technological interest and to inherent scientific curiosity. Rapidly applied loads are encountered in a number of technical applications. In some cases such loads might be applied deliberately, as for example in problems of blasting, mining, and comminution or fragmentation; in other cases, such dynamic loads might arise from accidental conditions. Regardless of the origin of the rapid loading, it is necessary to understand the mechanisms and mechanics of fracture under dynamic loading conditions in order to design suitable procedures for assessing the susceptibility to fracture. Quite apart from its repercussions in the area of structural integrity, fundamental scientific curiosity has continued to play a large role in engendering interest in dynamic fracture problems In-depth coverage of the mechanics, experimental methods, practical applications Summary of material response of different materials Discussion of unresolved issues in dynamic fracture

Book Dynamic Fracture Mechanics

Download or read book Dynamic Fracture Mechanics written by M. H. Aliabadi and published by WIT Press (UK). This book was released on 1995 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: A review of dynamic fracture mechanics with particular emphasis on computational methods. This text covers finite elements, finite volume, and boundary element methods providing fundamental concepts of advances in computational methods as well as the algorithms for use in practical applications.

Book Static and Dynamic Crack Propagation in Brittle Materials with XFEM

Download or read book Static and Dynamic Crack Propagation in Brittle Materials with XFEM written by Fleming Petri, Wagner Carlos and published by kassel university press GmbH. This book was released on 2013-01-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Finite Elements in Fracture Mechanics

Download or read book Finite Elements in Fracture Mechanics written by Meinhard Kuna and published by Springer Science & Business Media. This book was released on 2013-07-19 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.

Book Mixed mode Crack Behavior

Download or read book Mixed mode Crack Behavior written by Keith John Miller and published by ASTM International. This book was released on 1999 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Finite Element Simulation of Dynamic Crack Propagation for Complex Geometries Without Remeshing

Download or read book Finite Element Simulation of Dynamic Crack Propagation for Complex Geometries Without Remeshing written by Farid Reza Biglari and published by . This book was released on 2006 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simulation of the crack growth for complex geometries is presented in this paper. Determination of the crack propagation direction under mixed mode conditions is one of the most important parameters in fracture mechanics. There are several criteria that have been developed to predict crack growth and its direction using linear elastic fracture mechanics (LEFM), many of which have recently been incorporated into finite element codes. These criteria are commonly adopted in the prediction of crack propagation in simple geometries and in straight crack paths. In more complex geometries, a more accurate determination of the crack propagation path, using remeshing methods can be employed. However, the remeshing technique usually suffers from the loss of strain energy density that can occur at the tip of the crack during the interpolation of field solutions. In this research work, the crack growth simulation is presented which allows for crack path deviation without the use of remeshing of the model. This method deals with a nonstraight crack growth path, is based on a node releasing technique and appropriate fracture criteria. The maximum principal stress and maximum strain energy release rate criteria is used in this paper exclusively. The results of simulation have been compared with experimental results as well as with numerical works of others that have been found in the recently published literature.

Book Dynamic Fracture Mechanics

Download or read book Dynamic Fracture Mechanics written by Arun Shukla and published by World Scientific. This book was released on 2006 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a wide variety of topics in dynamic fracture mechanics, this volume presents state-of-the-art experimental techniques and theoretical analysis on dynamic fracture in standard and exotic materials. Written by world renowned researchers, this valuable compendium contains eleven chapters on crack initiation, crack propagation, crack arrest, crack-stress wave interactions, and experimental, analytical and numerical methods in dynamic fracture mechanics. Contents: Modeling Dynamic Fracture Using Large-Scale Atomistic Simulations (H-J Gao & M J Buehler); Dynamic Crack Initiation Toughness (D Rittel); The Dynamics of Rapidly Moving Tensile Cracks in Brittle Amorphous Material (J Fineberg); Optical Methods for Dynamic Fracture Mechanics (H V Tippur); On the Use of Strain Gages in Dynamic Fracture (V Parameswaran & A Shukla); Dynamic and Crack Arrest Fracture Toughness (R E Link & R Chona); Dynamic Fracture in Graded Materials (A Shukla & N Jain); Dynamic Fracture Initiation Toughness at Elevated Temperatures with Application to the New Generation of Titanium Aluminides Alloys (M Shazly et al.); Dynamic Fracture of Nanocomposite Materials (A Shukla et al.). Readership: Researchers, practitioners, and graduate students in fracture mechanics and materials science.

Book Continuum Damage and Fracture Mechanics

Download or read book Continuum Damage and Fracture Mechanics written by Andreas Öchsner and published by Springer. This book was released on 2015-10-15 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers readers an introduction to fracture mechanics, equipping them to grasp the basic ideas of the presented approaches to modeling in applied mechanics In the first part, the book reviews and expands on the classical theory of elastic and elasto-plastic material behavior. A solid understanding of these two topics is the essential prerequisite to advancing to damage and fracture mechanics. Thus, the second part of this course provides an introduction to the treatment of damage and fractures in the context of applied mechanics Wherever possible, the one-dimensional case is first introduced and then generalized in a following step. This departs somewhat from the more classical approach, where first the most general case is derived and then simplified to special cases. In general, the required mathematics background is kept to a minimum Tutorials are included at the end of each chapter, presenting the major steps for the solution and offering valuable tips and tricks. The supplementary problems featured in the book

Book Multiscale Modeling of Heterogeneous Structures

Download or read book Multiscale Modeling of Heterogeneous Structures written by Jurica Sorić and published by Springer. This book was released on 2017-11-30 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of multiscale approaches and homogenization procedures as well as damage evaluation and crack initiation, and addresses recent advances in the analysis and discretization of heterogeneous materials. It also highlights the state of the art in this research area with respect to different computational methods, software development and applications to engineering structures. The first part focuses on defects in composite materials including their numerical and experimental investigations; elastic as well as elastoplastic constitutive models are considered, where the modeling has been performed at macro- and micro levels. The second part is devoted to novel computational schemes applied on different scales and discusses the validation of numerical results. The third part discusses gradient enhanced modeling, in particular quasi-brittle and ductile damage, using the gradient enhanced approach. The final part addresses thermoplasticity, solid-liquid mixtures and ferroelectric models. The contents are based on the international workshop “Multiscale Modeling of Heterogeneous Structures” (MUMO 2016), held in Dubrovnik, Croatia in September 2016.

Book Finite and Boundary Element Modelling of Crack Propagation in Two  and Three  Dimensions Using Interactive Computer Graphics

Download or read book Finite and Boundary Element Modelling of Crack Propagation in Two and Three Dimensions Using Interactive Computer Graphics written by Walter Gerstle and published by . This book was released on 1986 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Scaled Boundary Finite Element Method

Download or read book The Scaled Boundary Finite Element Method written by Chongmin Song and published by John Wiley & Sons. This book was released on 2018-06-19 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: An informative look at the theory, computer implementation, and application of the scaled boundary finite element method This reliable resource, complete with MATLAB, is an easy-to-understand introduction to the fundamental principles of the scaled boundary finite element method. It establishes the theory of the scaled boundary finite element method systematically as a general numerical procedure, providing the reader with a sound knowledge to expand the applications of this method to a broader scope. The book also presents the applications of the scaled boundary finite element to illustrate its salient features and potentials. The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation covers the static and dynamic stress analysis of solids in two and three dimensions. The relevant concepts, theory and modelling issues of the scaled boundary finite element method are discussed and the unique features of the method are highlighted. The applications in computational fracture mechanics are detailed with numerical examples. A unified mesh generation procedure based on quadtree/octree algorithm is described. It also presents examples of fully automatic stress analysis of geometric models in NURBS, STL and digital images. Written in lucid and easy to understand language by the co-inventor of the scaled boundary element method Provides MATLAB as an integral part of the book with the code cross-referenced in the text and the use of the code illustrated by examples Presents new developments in the scaled boundary finite element method with illustrative examples so that readers can appreciate the significant features and potentials of this novel method—especially in emerging technologies such as 3D printing, virtual reality, and digital image-based analysis The Scaled Boundary Finite Element Method: Introduction to Theory and Implementation is an ideal book for researchers, software developers, numerical analysts, and postgraduate students in many fields of engineering and science.

Book The Scaled Boundary Finite Element Method

Download or read book The Scaled Boundary Finite Element Method written by John P. Wolf and published by John Wiley & Sons. This book was released on 2003-03-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel computational procedure called the scaled boundary finite-element method is described which combines the advantages of the finite-element and boundary-element methods : Of the finite-element method that no fundamental solution is required and thus expanding the scope of application, for instance to anisotropic material without an increase in complexity and that singular integrals are avoided and that symmetry of the results is automatically satisfied. Of the boundary-element method that the spatial dimension is reduced by one as only the boundary is discretized with surface finite elements, reducing the data preparation and computational efforts, that the boundary conditions at infinity are satisfied exactly and that no approximation other than that of the surface finite elements on the boundary is introduced. In addition, the scaled boundary finite-element method presents appealing features of its own : an analytical solution inside the domain is achieved, permitting for instance accurate stress intensity factors to be determined directly and no spatial discretization of certain free and fixed boundaries and interfaces between different materials is required. In addition, the scaled boundary finite-element method combines the advantages of the analytical and numerical approaches. In the directions parallel to the boundary, where the behaviour is, in general, smooth, the weighted-residual approximation of finite elements applies, leading to convergence in the finite-element sense. In the third (radial) direction, the procedure is analytical, permitting e.g. stress-intensity factors to be determined directly based on their definition or the boundary conditions at infinity to be satisfied exactly. In a nutshell, the scaled boundary finite-element method is a semi-analytical fundamental-solution-less boundary-element method based on finite elements. The best of both worlds is achieved in two ways: with respect to the analytical and numerical methods and with respect to the finite-element and boundary-element methods within the numerical procedures. The book serves two goals: Part I is an elementary text, without any prerequisites, a primer, but which using a simple model problem still covers all aspects of the method and Part II presents a detailed derivation of the general case of statics, elastodynamics and diffusion.

Book Numerical Modeling of Dynamic Crack Propagation in Finite Bodies  by Moving Singular Elements  Part II  Results

Download or read book Numerical Modeling of Dynamic Crack Propagation in Finite Bodies by Moving Singular Elements Part II Results written by T. Nishioka and published by . This book was released on 1980 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using the moving-singularity finite element method described in Part I of this paper, several problems of dynamic crack propagation in finite bodies have been analysed. Discussions of the effects of wave interactions on the dynamic stress-intensity factors are presented. The obtained numerical results are compared with the corresponding infinite domain solutions and other available numerical solutions for finite domains. (Author).