An Energy-based Adaptive Finite Element Analysis of Two-dimensional Elasticity Problems PDF Download

Author: Hector Enrique Febres Cedillo
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 168

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Author: Meng Huang
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 180

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Author: Wade H. Shafer
Publisher: Springer Science & Business Media
ISBN: 1468451979
Category : Science
Languages : en
Pages : 407

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Book Description
Masters Theses in the Pure and Applied Sciences was first conceived, published, and disseminated by the Center for Information and Numerical Data Analysis and Synthesis (CINDAS) * at Purdue University in 1 957, 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 tional publishing house to assure improved service and broader dissemination. 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 29 (thesis year 1984) a total of 12,637 theses titles from 23 Canadian and 202 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. While Volume 29 reports theses submitted in 1984, on occasion, certain univer sities do report theses submitted in previous years but not reported at the time.

Author: Ekkehard Ramm
Publisher: John Wiley & Sons
ISBN: 0470857978
Category : Technology & Engineering
Languages : en
Pages : 422

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Book Description
Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. * First book to go beyond the Finite Element Method in itself * Covers material from a new research area * Presents benchmarks of 2D- and 3D- applications * Fits with the new trend for genetic strategies in engineering

Author: 李子敬
Publisher: Open Dissertation Press
ISBN: 9781374728967
Category : Technology & Engineering
Languages : en
Pages : 152

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This dissertation, "Adaptive Finite Element Analysis for 2D Elastostatic Problems" by 李子敬, Chi-king, Lee, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of Thesis Entitled: "Adaptive Finite Element Analysis For 2D Elastostatic Problems" submitted by LEE CHI KING for the degree of Master of Philosophy at The University of Hong Kong in October of 1992 iii Abstract The objective of an adaptive finite element procedure is to model a physical problem by the finite element method and to achieve a solution of specified accuracy in a most economic manner. A robust and fully automatic adaptive finite element procedure is a very powerful and useful tool to practical engineers. Through the adaptive process the user can, simultaneously, obtain an accurate solution of the physical problem and also a reliable estimate of the error of the finite element solution. This allows engineers and designers to have a better understanding of the behavior of the physical structure, and to optimize their designs and obtain more economical and safer designs. In this thesis, attentions will be paid to the adaptive refinement process for solving 2D elastostatic problems, in which three essential steps can be identified. These steps are development of, (i) an economical and reliable error estimation procedure which predicts the numerical error of the finite element method, (ii) an effective methodology for predicting and defining the necessary refinements needed to achieve the prescribed accuracy in an optimal manner, and (iii) a practical algorithm for the construction of the refined finite element model with specified mesh density and grading by means of an automatic mesh generation scheme. A new adaptive refinement procedure which integrates the latest advanced techniques developed in the above three aspects will also be proposed. This new refinement procedure will employ the Zienkiewicz and Zhu error estimator for predicting the error of the finite element solution. A new algorithm, based on the strain energy density concentration concept for automatically locating any singular points in the problem domain, is developed for defining the optimal mesh pattern for the refinement process. Three new automatic mesh generators which are capable of generating either pure triangular, mixed or pure quadrilateral meshes are developed iv for generating high quality, well-graded finite element meshes with node spacing closely compatible with the required pattern for optimal convergence of the solution. The performance and robustness of the proposed adaptive refinement scheme are tested by applying it to solve practical engineering problems with different geometrical complexity and difficulty. Finally, potential and possible areas for further extension of the current research work in different aspects of finite element applications will be suggested. DOI: 10.5353/th_b3101931 Subjects: Finite element method Elasticity - Mathematical models

Author: Chi-king Lee
Publisher:
ISBN:
Category : Elasticity
Languages : en
Pages : 274

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Book Description

Author: Ekkehard Ramm
Publisher: John Wiley & Sons
ISBN: 0471496502
Category : Technology & Engineering
Languages : en
Pages : 436

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Book Description
Finite Element Methods are used for numerous engineering applications where numerical solutions of partial differential equations are needed. As computers can now deal with the millions of parameters used in these methods, automatic error estimation and automatic adaptation of the utilised method (according to this error estimation), has become a hot research topic. This text offers comprehensive coverage of this new field of automatic adaptation and error estimation, bringing together the work of eight outstanding researchers in this field who have completed a six year national research project within the German Science Foundation. The result is a state-of-the-art work in true reference style. Each chapter is self-contained and covers theoretical, algorithmic and software presentations as well as solved problems. A main feature consists of several carefully elaborated benchmarks of 2D- and 3D- applications. First book to go beyond the Finite Element Method in itself Covers material from a new research area Presents benchmarks of 2D- and 3D- applications Fits with the new trend for genetic strategies in engineering

Author: Wolfgang Bangerth
Publisher: Springer Science & Business Media
ISBN: 9783764370091
Category : Mathematics
Languages : en
Pages : 222

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Book Description
The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method for goal-oriented error estimation, is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag coefficient of a body immersed in a viscous flow is computed, then it is minimized by varying certain control parameters, and finally the stability of the resulting flow is investigated by solving an eigenvalue problem. `Goal-oriented' adaptivity is designed to achieve these tasks with minimal cost. At the end of each chapter some exercises are posed in order to assist the interested reader in better understanding the concepts presented. Solutions and accompanying remarks are given in the Appendix.

Author: Chen An Wang
Publisher:
ISBN:
Category : Finite element method
Languages : en
Pages : 174

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Book Description

Author: Sinan Muftu
Publisher: Elsevier
ISBN: 012821127X
Category : Technology & Engineering
Languages : en
Pages : 540

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Book Description
Finite Element Method: Physics and Solution Methods enables the reader to develop a sound understanding of physical systems so that they can get the most out of their use of the finite element method. Nearly all physical systems in the FEM realm are represented by partial differential equations. This book focuses on 1D and 2D elasticity, and 1D and 2D heat transfer problems, with a detailed derivation of the governing equations. The connections between the classical variational techniques and the finite element method are carefully explained. After a chapter addressing the classical variational methods, the finite element method is developed as a natural outcome of these methods where the governing PDE is defined over a sub-segment (element) of the solution domain. As well as being an invaluable guide to thorough and effective use of the finite element method, this book also functions as an authoritative reference on theory of elasticity, heat transfer and mechanics of beams and plates.