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The Finite Element Method And Its Reliability
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Book Synopsis The Finite Element Method and Its Reliability by : Ivo Babuška
Download or read book The Finite Element Method and Its Reliability written by Ivo Babuška and published by Oxford University Press. This book was released on 2001 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Reliability Assessment Using Stochastic Finite Element Analysis by : Achintya Haldar
Download or read book Reliability Assessment Using Stochastic Finite Element Analysis written by Achintya Haldar and published by John Wiley & Sons. This book was released on 2000-05-22 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applications of Finite Element Methods for Reliability Studies on ULSI Interconnections by : Cher Ming Tan
Download or read book Applications of Finite Element Methods for Reliability Studies on ULSI Interconnections written by Cher Ming Tan and published by Springer Science & Business Media. This book was released on 2011-03-28 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Finite Element Analysis by : Barna Szabó
Download or read book Introduction to Finite Element Analysis written by Barna Szabó and published by John Wiley & Sons. This book was released on 2011-03-21 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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)
Book Synopsis Reliability Calculations with the Stochastic Finite Element by : Wenhui Mo
Download or read book Reliability Calculations with the Stochastic Finite Element written by Wenhui Mo and published by Bentham Science Publishers. This book was released on 2020-12-01 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Reliability Studies of Finite Element Methods in North America by : Jerzy Kacprzynski
Download or read book Reliability Studies of Finite Element Methods in North America written by Jerzy Kacprzynski and published by . This book was released on 1987 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Finite Elements in Engineering by : Tirupathi Chandrupatla
Download or read book Introduction to Finite Elements in Engineering written by Tirupathi Chandrupatla and published by Cambridge University Press. This book was released on 2021-10-21 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thoroughly updated with improved pedagogy, the fifth edition of this classic textbook continues to provide students with a clear and comprehensive introduction the fundamentals of the finite element method. New features include enhanced coverage of introductory topics in the context of simple 1D problems, providing students with a solid base from which to advance to 2D and 3D problems; expanded coverage of more advanced concepts, to reinforce students' understanding; over 30 additional solved problems; and downloadable MATLAB, Python, C, Javascript, Fortran and Excel VBA code packages, providing students with hands-on experience, and preparing them for commercial software. Accompanied by online solutions for instructors, this is the definitive text for senior undergraduate and graduate students studying a first course in the finite element method and finite element analysis, and for professional engineers keen to shore up their understanding of finite element fundamentals.
Book Synopsis The Finite Element Method: Solid mechanics by : O. C. Zienkiewicz
Download or read book The Finite Element Method: Solid mechanics written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2000 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Methods for Structures with Large Stochastic Variations by : Isaac Elishakoff
Download or read book Finite Element Methods for Structures with Large Stochastic Variations written by Isaac Elishakoff and published by Oxford University Press, USA. This book was released on 2003 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite element method (FEM) can be successfully applied to various field problems in solid mechanics, fluid mechanics and electrical engineering. This text discusses finite element methods for structures with large stochastic variations.
Book Synopsis Accuracy, Reliability and Training in FEM Technology by : John Robinson
Download or read book Accuracy, Reliability and Training in FEM Technology written by John Robinson and published by . This book was released on 1984 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stochastic Finite Element Methods by : Vissarion Papadopoulos
Download or read book Stochastic Finite Element Methods written by Vissarion Papadopoulos and published by Springer. This book was released on 2017-10-28 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Reliability Studies of Finite Element Methods in North America by : NATO. Advisory Group for Aerospace Research & Development
Download or read book Reliability Studies of Finite Element Methods in North America written by NATO. Advisory Group for Aerospace Research & Development and published by . This book was released on 1987 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Practical Guide to Reliable Finite Element Modelling by : Alan Morris
Download or read book A Practical Guide to Reliable Finite Element Modelling written by Alan Morris and published by John Wiley & Sons. This book was released on 2008-07-31 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many books have been written about the finite element method; little however has been written about procedures that assist a practicing engineer in undertaking an analysis in such a way that errors and uncertainties can be controlled. In A Practical Guide to Reliable Finite Element Modelling, Morris addresses this important area. His book begins by introducing the reader to finite element analysis (FEA), covering the fundamental principles of the method, whilst also outlining the potential problems involved. He then establishes consistent methods for carrying out analyses and obtaining accurate and reliable results, concluding with a new method for undertaking error control led analyses which is illustrated by means of two case studies. The book addresses a number of topics that: • Systematically cover an introduction to FEA, how computers build linear-static and linear-dynamic finite element models, the identification of error sources, error control methods and error-controlled analyses. • Enable the reader to support the design of complex structures with reliable, repeatable analyses using the finite element method. • Provide a basis for establishing good practice that could underpin a legal defence in the event of a claim for negligence. A Practical Guide to Reliable Finite Element Modelling will appeal to practising engineers engaged in conducting regular finite element analyses, particularly those new to the field. It will also be a resource for postgraduate students and researchers addressing problems associated with errors in the finite element method. This book is supported by an author maintained website at http://www.femec.co.uk
Book Synopsis Uncertain Analysis in Finite Elements Models by : Wenhui Mo
Download or read book Uncertain Analysis in Finite Elements Models written by Wenhui Mo and published by Bentham Science Publishers. This book was released on 2022-08-31 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains uncertainty analysis for finite elements and general nonlinear problems. It starts with the fundamentals of the topic and progresses to complex methods through 9 chapters. Each chapter focuses on a specific, relevant topic and provides information in a structured reading format for advanced learners. The author explains different models relevant to the topic where applicable, in an effort to cover the diverse aspects of mathematical analysis. Topics covered in the book include: - Nonlinear stochastic finite element methods - Reliability calculations - Static analysis of interval finite element - Linear and nonlinear vibration analysis - Stochastic, random, fuzzy and mixed fields - Mixed finite element analysis Uncertainty Analysis in Finite Elements Models is an ideal reference for advanced courses in mathematical analysis and engineering that require students to understand the basics of uncertainty analysis and basic reliability calculations.
Download or read book Finite Elements written by Ivo Babuska and published by . This book was released on 2010-11-04 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the many books on finite elements are devoted either to mathematical theory or to engineering applications, but not to both. This book presents computed numbers which not only illustrate the theory but can only be analysed using the theory. This approach, both dual and interacting between theory and computation makes this book unique.
Book Synopsis Finite Element Reliability Methods for Inelastic Structures by : Yen Chʻang
Download or read book Finite Element Reliability Methods for Inelastic Structures written by Yen Chʻang and published by . This book was released on 1994 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Finite Element Method: Its Basis and Fundamentals by : O. C. Zienkiewicz
Download or read book The Finite Element Method: Its Basis and Fundamentals written by O. C. Zienkiewicz and published by Butterworth-Heinemann. This book was released on 2013-08-31 with total page 753 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Finite Element Method: Its Basis and Fundamentals offers a complete introduction to the basis of the finite element method, covering fundamental theory and worked examples in the detail required for readers to apply the knowledge to their own engineering problems and understand more advanced applications. This edition sees a significant rearrangement of the book's content to enable clearer development of the finite element method, with major new chapters and sections added to cover: - Weak forms - Variational forms - Multi-dimensional field problems - Automatic mesh generation - Plate bending and shells - Developments in meshless techniques Focusing on the core knowledge, mathematical and analytical tools needed for successful application, The Finite Element Method: Its Basis and Fundamentals is the authoritative resource of choice for graduate level students, researchers and professional engineers involved in finite element-based engineering analysis. - A proven keystone reference in the library of any engineer needing to understand and apply the finite element method in design and development - Founded by an influential pioneer in the field and updated in this seventh edition by an author team incorporating academic authority and industrial simulation experience - Features reworked and reordered contents for clearer development of the theory, plus new chapters and sections on mesh generation, plate bending, shells, weak forms and variational forms
