An Automatic Finite Element Mesh Generator and Adaptive Geometry Database for Tracking General Two Dimensional Crack Growth PDF Download

Author: Gary S. Burd
Publisher:
ISBN:
Category :
Languages : en
Pages : 55

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Author: Wade H. Shafer
Publisher: Springer
ISBN: 9780306427909
Category : Science
Languages : en
Pages : 432

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Book Description
Masters Theses in the Pure and Applied Sciences was first conceived, published, SIld disseminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS) * at Purdue University in 1957, starting its coverage of theses with the academic year 1955. Beginning with Volume 13, the printing and dissemination phases of the activity were transferred to University Microfilms/Xerox of Ann Arbor, Michigan, with the thought that such an arrangement would be more beneficial to the academic and general scientific and technical community. After five years of this joint undertaking we had concluded that it was in the interest of all con cerned if the printing and distribution of the volumes were handled by an interna and broader dissemination. tional publishing house to assure improved service Hence, starting with Volume 18, Masters Theses in the Pure and Applied Sciences has been disseminated on a worldwide basis by Plenum Publishing Cor poration of New York, and in the same year the coverage was broadened to include Canadian universities. All back issues can also be ordered from Plenum. We have reported in Volume 30 (thesis year 1985) a total of 12,400 theses titles from 26 Canadian and 186 United States universities. We are sure that this broader base for these titles reported will greatly enhance the value of this important annual reference work.

Author: Ivo Babuška
Publisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 422

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Book Description
This book contains papers discussing the recent developments in adaptive methods and their applications, an area of finite elements methods applicable to the needs of civil engineering. Topics covered range from an exposition of basic theory and techniques to detailed discussions of specific applications. Adaptive approaches, and the computer assessment of the reliability of the results obtained are also examined.

Author: Daniel S.H. Lo
Publisher: CRC Press
ISBN: 041569048X
Category : Technology & Engineering
Languages : en
Pages : 676

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Book Description
Highlights the Progression of Meshing Technologies and Their Applications Finite Element Mesh Generation provides a concise and comprehensive guide to the application of finite element mesh generation over 2D domains, curved surfaces, and 3D space. Organised according to the geometry and dimension of the problem domains, it develops from the basic meshing algorithms to the most advanced schemes to deal with problems with specific requirements such as boundary conformity, adaptive and anisotropic elements, shape qualities, and mesh optimization. It sets out the fundamentals of popular techniques, including: Delaunay triangulation Advancing-front (ADF) approach Quadtree/Octree techniques Refinement and optimization-based strategies From the geometrical and the topological aspects and their associated operations and inter-relationships, each approach is vividly described and illustrated with examples. Beyond the algorithms, the book also explores the practice of using metric tensor and surface curvatures for generating anisotropic meshes on parametric space. It presents results from research including 3D anisotropic meshing, mesh generation over unbounded domains, meshing by means of intersection, re-meshing by Delaunay-ADF approach, mesh refinement and optimization, generation of hexahedral meshes, and large scale and parallel meshing, along with innovative unpublished meshing methods. The author provides illustrations of major meshing algorithms, pseudo codes, and programming codes in C++ or FORTRAN. Geared toward research centers, universities, and engineering companies, Finite Element Mesh Generation describes mesh generation methods and fundamental techniques, and also serves as a valuable reference for laymen and experts alike.

Author: Gordon K. MacDonald
Publisher:
ISBN:
Category : Electrical engineering
Languages : en
Pages : 192

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Author: Paul L. George
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 356

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Author: Balakrishnan V. Sadras
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 174

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Author: Dimitris P. Vartziotis
Publisher: CRC Press
ISBN: 0429680090
Category : Computers
Languages : en
Pages : 377

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Book Description
High quality meshes play a key role in many applications based on digital modeling and simulation. The finite element method is a paragon for such an approach and it is well known that quality meshes can significantly improve computational efficiency and solution accuracy of this method. Therefore, a lot of effort has been put in methods for improving mesh quality. These range from simple geometric approaches, like Laplacian smoothing, with a high computational efficiency but possible low resulting mesh quality, to global optimization-based methods, resulting in an excellent mesh quality at the cost of an increased computational and implementational complexity. The geometric element transformation method (GETMe) aims to fill the gap between these two approaches. It is based on geometric mesh element transformations, which iteratively transform polygonal and polyhedral elements into their regular counterparts or into elements with a prescribed shape. GETMe combines a Laplacian smoothing-like computational efficiency with a global optimization-like effectiveness. The method is straightforward to implement and its variants can also be used to improve tangled and anisotropic meshes. This book describes the mathematical theory of geometric element transformations as foundation for mesh smoothing. It gives a thorough introduction to GETMe-based mesh smoothing and its algorithms providing a framework to focus on effectively improving key mesh quality aspects. It addresses the improvement of planar, surface, volumetric, mixed, isotropic, and anisotropic meshes and addresses aspects of combining mesh smoothing with topological mesh modification. The advantages of GETMe-based mesh smoothing are demonstrated by the example of various numerical tests. These include smoothing of real world meshes from engineering applications as well as smoothing of synthetic meshes for demonstrating key aspects of GETMe-based mesh improvement. Results are compared with those of other smoothing methods in terms of runtime behavior, mesh quality, and resulting finite element solution efficiency and accuracy. Features: • Helps to improve finite element mesh quality by applying geometry-driven mesh smoothing approaches. • Supports the reader in understanding and implementing GETMe-based mesh smoothing. • Discusses aspects and properties of GETMe smoothing variants and thus provides guidance for choosing the appropriate mesh improvement algorithm. • Addresses smoothing of various mesh types: planar, surface, volumetric, isotropic, anisotropic, non-mixed, and mixed. • Provides and analyzes geometric element transformations for polygonal and polyhedral elements with regular and non-regular limits. • Includes a broad range of numerical examples and compares results with those of other smoothing methods.

Author: Kenneth Baldwin
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 92

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Book Description
Very Good,No Highlights or Markup,all pages are intact.

Author: Pascal Jean Frey
Publisher: Hermes Science Publications
ISBN: 9781903398005
Category : Mathematics
Languages : en
Pages : 814

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Book Description
The numerical simulation of physical problems expressed in terms of partial differential equations (so-called PDE's) using a finite element, finite volume, boundary element, or any other numerical method requires the discretization of the domain of interest into a set of elements, i.e. a mesh. The differential equations are approximated by a set of algebraic equations on this mesh, this set being then solved to provide the approximate solution of the partial differential system over the field. The discretization requires certain properties for the solution to be exploitable and must at least conform to all domain boundaries in order to accurately represent boundary conditions. Consequently, the mesh generation stage, as an essential pre-requisite, is of utmost importance in the computational schemes, as it is related to the convergence of the computational scheme as well as to the accuracy of the numerical solutions. There is indeed a variety of algorithms suitable to produce such meshes. Some of these methods are designed to handle specific geometric situations while others can be used in a more general context. User-driven, semi-automatic as well as fully automatic methods exist leading to structured, unstructured or mixed meshes. The mesh generation problems are mainly related to the boundary meshing (line, curve and surface meshing) and domain meshing issues (planar domain or volumetric domain). Numerous computational issues must be carefully addressed for designing reliable and robust meshing algorithms. These issues concern computer-related data structures and algorithms (low-level routines) as well as advanced data structures and computational schemes (high-level routines). In this regard, basic computational tools, geometric and discrete geometric notions, computational and mesh data structures, element and mesh definitions are of significant importance. The aim of this book is to provide a comprehensive survey of the different algorithms and data structures useful for triangulation and meshing construction. In addition, several aspects will also be described, for instance mesh modification tools, mesh evaluation criteria, mesh optimization, including even adaptive mesh construction as well as parallel meshing techniques.