The Finite Element Method And Its Reliability

Author : Ivo Babuška,Theofanis Strouboulis
Publisher : Oxford University Press
Page : 820 pages
File Size : 42,6 Mb
Release : 2001
Category : Mathematics
ISBN : 0198502761

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The Finite Element Method and Its Reliability by Ivo Babuška,Theofanis Strouboulis Pdf

The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.

Author : Achintya Haldar,Sankaran Mahadevan
Publisher : John Wiley & Sons
Page : 356 pages
File Size : 42,7 Mb
Release : 2000-05-22
Category : Technology & Engineering
ISBN : 0471369616

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Reliability Assessment Using Stochastic Finite Element Analysis by Achintya Haldar,Sankaran Mahadevan Pdf

The first complete guide to using the Stochastic Finite Element Method for reliability assessment Unlike other analytical reliability estimation techniques, the Stochastic Finite Element Method (SFEM) can be used for both implicit and explicit performance functions, making it a particularly powerful and robust tool for today's engineer. This book, written by two pioneers in SFEM-based methodologies, shows how to use SFEM for the reliability analysis of a wide range of structures. It begins by reviewing essential risk concepts, currently available risk evaluation procedures, and the use of analytical and sampling methods in estimating risk. Next, it introduces SFEM evaluation procedures, with detailed coverage of displacement-based and stress-based deterministic finite element approaches. Linear, nonlinear, static, and dynamic problems are considered separately to demonstrate the robustness of the methods. The risk or reliability estimation procedure for each case is presented in different chapters, with theory complemented by a useful series of examples. Integrating advanced concepts in risk-based design, finite elements, and mechanics, Reliability Assessment Using Stochastic Finite Element Analysis is vital reading for engineering professionals and students in all areas of the field.

Author : Yen Chʻang
Publisher : Unknown
Page : 262 pages
File Size : 40,6 Mb
Release : 1994
Category : Electronic
ISBN : UCAL:C3386753

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Finite Element Reliability Methods for Inelastic Structures by Yen Chʻang Pdf

Author : Cher Ming Tan,Wei Li,Zhenghao Gan,Yuejin Hou
Publisher : Springer Science & Business Media
Page : 152 pages
File Size : 46,8 Mb
Release : 2011-03-28
Category : Technology & Engineering
ISBN : 9780857293107

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Applications of Finite Element Methods for Reliability Studies on ULSI Interconnections by Cher Ming Tan,Wei Li,Zhenghao Gan,Yuejin Hou Pdf

Applications of Finite Element Methods for Reliability Studies on ULSI Interconnections provides a detailed description of the application of finite element methods (FEMs) to the study of ULSI interconnect reliability. Over the past two decades the application of FEMs has become widespread and continues to lead to a much better understanding of reliability physics. To help readers cope with the increasing sophistication of FEMs’ applications to interconnect reliability, Applications of Finite Element Methods for Reliability Studies on ULSI Interconnections will: introduce the principle of FEMs; review numerical modeling of ULSI interconnect reliability; describe the physical mechanism of ULSI interconnect reliability encountered in the electronics industry; and discuss in detail the use of FEMs to understand and improve ULSI interconnect reliability from both the physical and practical perspective, incorporating the Monte Carlo method. A full-scale review of the numerical modeling methodology used in the study of interconnect reliability highlights useful and noteworthy techniques that have been developed recently. Many illustrations are used throughout the book to improve the reader’s understanding of the methodology and its verification. Actual experimental results and micrographs on ULSI interconnects are also included. Applications of Finite Element Methods for Reliability Studies on ULSI Interconnections is a good reference for researchers who are working on interconnect reliability modeling, as well as for those who want to know more about FEMs for reliability applications. It gives readers a thorough understanding of the applications of FEM to reliability modeling and an appreciation of the strengths and weaknesses of various numerical models for interconnect reliability.

Author : Wenhui Mo
Publisher : Bentham Science Publishers
Page : 117 pages
File Size : 55,6 Mb
Release : 2020-12-01
Category : Science
ISBN : 9789811485510

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Reliability Calculations with the Stochastic Finite Element by Wenhui Mo Pdf

Reliability Calculations with the Stochastic Finite Element presents different methods of reliability analysis for systems. Chapters explain methods used to analyze a number of systems such as single component maintenance system, repairable series system, rigid rotor balance, spring mechanics, gearbox design and optimization, and nonlinear vibration. The author proposes several established and new methods to solve reliability problems which are based on fuzzy systems, sensitivity analysis, Monte Carlo simulation, HL-RF methods, differential equations, and stochastic finite element processing, to name a few. This handbook is a useful update on reliability analysis for mechanical engineers and technical apprentices.

Author : Barna Szabó,Ivo Babuška
Publisher : John Wiley & Sons
Page : 372 pages
File Size : 55,8 Mb
Release : 2011-03-21
Category : Technology & Engineering
ISBN : 9781119993483

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Introduction to Finite Element Analysis by Barna Szabó,Ivo Babuška Pdf

When using numerical simulation to make a decision, how can its reliability be determined? What are the common pitfalls and mistakes when assessing the trustworthiness of computed information, and how can they be avoided? Whenever numerical simulation is employed in connection with engineering decision-making, there is an implied expectation of reliability: one cannot base decisions on computed information without believing that information is reliable enough to support those decisions. Using mathematical models to show the reliability of computer-generated information is an essential part of any modelling effort. Giving users of finite element analysis (FEA) software an introduction to verification and validation procedures, this book thoroughly covers the fundamentals of assuring reliability in numerical simulation. The renowned authors systematically guide readers through the basic theory and algorithmic structure of the finite element method, using helpful examples and exercises throughout. Delivers the tools needed to have a working knowledge of the finite element method Illustrates the concepts and procedures of verification and validation Explains the process of conceptualization supported by virtual experimentation Describes the convergence characteristics of the h-, p- and hp-methods Covers the hierarchic view of mathematical models and finite element spaces Uses examples and exercises which illustrate the techniques and procedures of quality assurance Ideal for mechanical and structural engineering students, practicing engineers and applied mathematicians Includes parameter-controlled examples of solved problems in a companion website (www.wiley.com/go/szabo)

Author : Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
Publisher : Elsevier
Page : 752 pages
File Size : 49,7 Mb
Release : 2005-05-26
Category : Technology & Engineering
ISBN : 008047277X

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The Finite Element Method: Its Basis and Fundamentals by Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu Pdf

The Sixth Edition of this influential best-selling book delivers the most up-to-date and comprehensive text and reference yet on the basis of the finite element method (FEM) for all engineers and mathematicians. Since the appearance of the first edition 38 years ago, The Finite Element Method provides arguably the most authoritative introductory text to the method, covering the latest developments and approaches in this dynamic subject, and is amply supplemented by exercises, worked solutions and computer algorithms. • The classic FEM text, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text

Author : Tirupathi Chandrupatla,Ashok Belegundu
Publisher : Cambridge University Press
Page : 519 pages
File Size : 44,9 Mb
Release : 2021-10-21
Category : Computers
ISBN : 9781108841412

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Introduction to Finite Elements in Engineering by Tirupathi Chandrupatla,Ashok Belegundu Pdf

Now thoroughly updated, the fifth edition features improved pedagogy, enhanced introductory material, and new digital teaching supplements.

Author : Vissarion Papadopoulos,Dimitris G. Giovanis
Publisher : Springer
Page : 138 pages
File Size : 45,9 Mb
Release : 2017-10-28
Category : Science
ISBN : 9783319645285

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Stochastic Finite Element Methods by Vissarion Papadopoulos,Dimitris G. Giovanis Pdf

The book provides a self-contained treatment of stochastic finite element methods. It helps the reader to establish a solid background on stochastic and reliability analysis of structural systems and enables practicing engineers to better manage the concepts of analysis and design in the presence of uncertainty. The book covers the basic topics of computational stochastic mechanics focusing on the stochastic analysis of structural systems in the framework of the finite element method. The target audience primarily comprises students in a postgraduate program specializing in structural engineering but the book may also be beneficial to practicing engineers and research experts alike.

Author : Jerzy Kacprzynski
Publisher : Unknown
Page : 19 pages
File Size : 50,6 Mb
Release : 1987
Category : Airplanes
ISBN : 9283504232

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Reliability Studies of Finite Element Methods in North America by Jerzy Kacprzynski Pdf

This report discusses the reliability of finite element analysis techniques in place of structural test in the context of airworthiness assessment. Using an example as illustration, the paper shows that in order to obtain the meaningful results, the analysis must be performed with extreme care by an experienced analyst. The reliance on the finite element analysis alone may result in serious misdiagnosis. The verification and the certification of programs and the certification of users are discussed. Some of the most important tests for validation of finite element are presented. Keywords: NATO furnished; Aviation safety; Safety engineering; Reliability; Computerized simulation.

Author : Olek C Zienkiewicz,Robert L Taylor
Publisher : Elsevier
Page : 1872 pages
File Size : 54,6 Mb
Release : 2005-11-25
Category : Technology & Engineering
ISBN : 0080531679

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The Finite Element Method Set by Olek C Zienkiewicz,Robert L Taylor Pdf

The sixth editions of these seminal books deliver the most up to date and comprehensive reference yet on the finite element method for all engineers and mathematicians. Renowned for their scope, range and authority, the new editions have been significantly developed in terms of both contents and scope. Each book is now complete in its own right and provides self-contained reference; used together they provide a formidable resource covering the theory and the application of the universally used FEM. Written by the leading professors in their fields, the three books cover the basis of the method, its application to solid mechanics and to fluid dynamics. * This is THE classic finite element method set, by two the subject's leading authors * FEM is a constantly developing subject, and any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in these books * Fully up-to-date; ideal for teaching and reference

Author : Philippe G. Ciarlet
Publisher : SIAM
Page : 553 pages
File Size : 54,6 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 0898719208

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The Finite Element Method for Elliptic Problems by Philippe G. Ciarlet Pdf

The Finite Element Method for Elliptic Problems is the only book available that analyzes in depth the mathematical foundations of the finite element method. It is a valuable reference and introduction to current research on the numerical analysis of the finite element method, as well as a working textbook for graduate courses in numerical analysis. It includes many useful figures, and there are many exercises of varying difficulty. Although nearly 25 years have passed since this book was first published, the majority of its content remains up-to-date. Chapters 1 through 6, which cover the basic error estimates for elliptic problems, are still the best available sources for material on this topic. The material covered in Chapters 7 and 8, however, has undergone considerable progress in terms of new applications of the finite element method; therefore, the author provides, in the Preface to the Classics Edition, a bibliography of recent texts that complement the classic material in these chapters. Audience: this book is particularly useful to graduate students, researchers, and engineers using finite element methods. The reader should have knowledge of analysis and functional analysis, particularly Hilbert spaces, Sobolev spaces, and differential calculus in normed vector spaces. Other than these basics, the book is mathematically self-contained.

Author : Dominique Chapelle,Klaus-Jurgen Bathe
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 51,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9783662052297

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The Finite Element Analysis of Shells - Fundamentals by Dominique Chapelle,Klaus-Jurgen Bathe Pdf

The authors present a modern continuum mechanics and mathematical framework to study shell physical behaviors, and to formulate and evaluate finite element procedures. With a view towards the synergy that results from physical and mathematical understanding, the book focuses on the fundamentals of shell theories, their mathematical bases and finite element discretizations. The complexity of the physical behaviors of shells is analysed, and the difficulties to obtain uniformly optimal finite element procedures are identified and studied. Some modern finite element methods are presented for linear and nonlinear analyses. A state of the art monograph by leading experts.

Author : Karan S. Surana,J. N. Reddy
Publisher : CRC Press
Page : 747 pages
File Size : 50,9 Mb
Release : 2017-10-17
Category : Science
ISBN : 9781351269988

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The Finite Element Method for Initial Value Problems by Karan S. Surana,J. N. Reddy Pdf

Unlike most finite element books that cover time dependent processes (IVPs) in a cursory manner, The Finite Element Method for Initial Value Problems: Mathematics and Computations focuses on the mathematical details as well as applications of space-time coupled and space-time decoupled finite element methods for IVPs. Space-time operator classification, space-time methods of approximation, and space-time calculus of variations are used to establish unconditional stability of space-time methods during the evolution. Space-time decoupled methods are also presented with the same rigor. Stability of space-time decoupled methods, time integration of ODEs including the finite element method in time are presented in detail with applications. Modal basis, normal mode synthesis techniques, error estimation, and a posteriori error computations for space-time coupled as well as space-time decoupled methods are presented. This book is aimed at a second-semester graduate level course in FEM.

Author : Barna Szabó,Ivo Babuška
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 54,5 Mb
Release : 2021-05-20
Category : Technology & Engineering
ISBN : 9781119426462

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Finite Element Analysis by Barna Szabó,Ivo Babuška Pdf

Finite Element Analysis An updated and comprehensive review of the theoretical foundation of the finite element method The revised and updated second edition of Finite Element Analysis: Method, Verification, and Validation offers a comprehensive review of the theoretical foundations of the finite element method and highlights the fundamentals of solution verification, validation, and uncertainty quantification. Written by noted experts on the topic, the book covers the theoretical fundamentals as well as the algorithmic structure of the finite element method. The text contains numerous examples and helpful exercises that clearly illustrate the techniques and procedures needed for accurate estimation of the quantities of interest. In addition, the authors describe the technical requirements for the formulation and application of design rules. Designed as an accessible resource, the book has a companion website that contains a solutions manual, PowerPoint slides for instructors, and a link to finite element software. This important text: Offers a comprehensive review of the theoretical foundations of the finite element method Puts the focus on the fundamentals of solution verification, validation, and uncertainty quantification Presents the techniques and procedures of quality assurance in numerical solutions of mathematical problems Contains numerous examples and exercises Written for students in mechanical and civil engineering, analysts seeking professional certification, and applied mathematicians, Finite Element Analysis: Method, Verification, and Validation, Second Edition includes the tools, concepts, techniques, and procedures that help with an understanding of finite element analysis.