Adaptive Finite Element Analysis for 2D Elastostatic Problems PDF Download

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

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Author: 李子敬
Publisher: Open Dissertation Press
ISBN: 9781374728950
Category :
Languages : en
Pages :

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

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

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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: Hung Viet Hoang
Publisher:
ISBN:
Category :
Languages : vi
Pages :

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

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Author: Ling-Fu Zeng
Publisher:
ISBN:
Category :
Languages : en
Pages : 52

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Author: Erwin Stein
Publisher: CISM International Centre for Mechanical Sciences
ISBN:
Category : Computers
Languages : en
Pages : 380

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The work deals with a systematic theoretical and problem-oriented treatment of fundamental topics in the wide area of error-controlled adaptive finite element methods for analyzing engineering structures with elastic and inelastic material behavior applied to engineering structures. Different types of error estimators are presented from both mathematical and engineering points of views: global estimators and goal-oriented estimators based on duality techniques, controlling h-, p-, and hp-adaptivity. Special features are: combined model and discretization adaptivity for thin-walled structures, hierarchic modeling in elasticity and related hp-adaptivity, error estimators of constitutive equations, adequate mesh refinement techniques and error-controlled adaptive elastic-plastic analysis of contact problems. The benefits are seen in new methods and results of leading researches in the field which provide deeper insight into recent developments of a posteriori error analysis and adaptivity.

Author: Tetsuji Itoh
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 342

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Author: Suhas Patil
Publisher:
ISBN:
Category : Aeroelasticity
Languages : en
Pages : 428

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