Articles by "Finite Element Model"

Showing posts with label Finite Element Model. Show all posts

Farzad Ebrahimi ... 410 pages - Publisher: Intech; (January, 2016) ...
Language: English - ISBN-10: 9535107690 - ISBN-13: 978-9535107699 ...

In the past few decades, the Finite Element Method (FEM) has been developed into a key indispensable technology in the modeling and simulation of various engineering systems. The present book reports on the state of the art research and development findings on this very broad matter through original and innovative research studies exhibiting various investigation directions of FEM in electrical, civil, materials and biomedical engineering. This book is a result of contributions of experts from international scientific community working in different aspects of FEM. The text is addressed not only to researchers, but also to professional engineers, students and other experts in a variety of disciplines, both academic and industrial seeking to gain a better understanding of what has been done in the field recently, and what kind of open problems are in this area.

J. P. M. de Almeida, E. A. W. Maunder ... 296 pages - Publisher: Wiley; 1st edition (March, 2017) ...
Language: English - ISBN-10: 1118424158 - ISBN-13: 978-1118424155 ... 

A comprehensive treatment of the theory and practice of equilibrium finite element analysis in the context of solid and structural mechanics: Equilibrium Finite Element Formulations is an up to date exposition on hybrid equilibrium finite elements, which are based on the direct approximation of the stress fields. The focus is on their derivation and on the advantages that strong forms of equilibrium can have, either when used independently or together with the more conventional displacement based elements. These elements solve two important problems of concern to computational structural mechanics: a rational basis for error estimation, which leads to bounds on quantities of interest that are vital for verification of the output and provision of outputs immediately useful to the engineer for structural design and assessment.

Key features: Unique in its coverage of equilibrium – an essential reference work for those seeking solutions that are strongly equilibrated. The approach is not widely known, and should be of benefit to structural design and assessment. Thorough explanations of the formulations for: 2D and 3D continua, thick and thin bending of plates and potential problems; covering mainly linear aspects of behaviour, but also with some excursions into non-linearity. Highly relevant to the verification of numerical solutions, the basis for obtaining bounds of the errors is explained in detail. Simple illustrative examples are given, together with their physical interpretations. The most relevant issues regarding the computational implementation of this approach are presented. When strong equilibrium and finite elements are to be combined, the book is a must-have reference for postgraduate students, researchers in software development or numerical analysis, and industrial practitioners who want to keep up to date with progress in simulation tools.

Jože Korelc, Peter Wriggers ... 346 pages - Publisher: Springer; 1st edition (June, 2016) ...
Language: English - ISBN-10: 3319390031 - ISBN-13: 978-3319390031 ... 

New finite elements are needed as well in research as in industry environments for the development of virtual prediction techniques. The design and implementation of novel finite elements for specific purposes is a tedious and time consuming task, especially for nonlinear formulations. The automation of this process can help to speed up this process considerably since the generation of the final computer code can be accelerated by order of several magnitudes. This book provides the reader with the required knowledge needed to employ modern automatic tools like AceGen within solid mechanics in a successful way. It covers the range from the theoretical background, algorithmic treatments to many different applications. The book is written for advanced students in the engineering field and for researchers in educational and industrial environments.

Maria Radwańska, Anna Stankiewicz, Adam Wosatko, Jerzy Pamin ...
424 pages - Publisher: Wiley; 1st edition (February, 2017) ...
Language: English - ISBN-10: 1118934547 - ISBN-13: 978-1118934548 ...

Comprehensively covers the fundamental theory and analytical and numerical solutions for different types of plate and shell structures: Plate and Shell Structures: Selected Analytical and Finite Element Solutions not only provides the theoretical formulation of fundamental problems of mechanics of plates and shells, but also several examples of analytical and numerical solutions for different types of shell structures. The book contains advanced aspects related to stability analysis and a brief description of modern finite element formulations for plates and shells, including the discussion of mixed/hybrid models and locking phenomena.

Key features: 52 example problems solved and illustrated by more than 200 figures, including 30 plots of finite element simulation results. Contents based on many years of research and teaching the mechanics of plates and shells to students of civil engineering and professional engineers. Provides the basis of an intermediate-level course on computational mechanics of shell structures. The book is essential reading for engineering students, university teachers, practitioners and researchers interested in the mechanics of plates and shells, as well as developers testing new simulation software.

Larry J. Segerlind ... 448 pages - Publisher: Wiley; 2nd edition (2010) ...
Language: English - ISBN-10: 812652880X - ISBN-13: 978-8126528806 ...

An introductory textbook for senior/graduate couses in finite element analysis taught in all engineering departments. Covers the basic concepts of the finite element method and their application to the analysis of plane structures and two-dimensional continuum problems in heat transfer, irrotational fluid flow, and elasticity. This revised edition includes a reorganization of topics and an increase in the number of homework problems. The emphasis on numerical illustrations make topis clear without heavy use of sophisticated mathematics.

Robert D. Cook, David S. Malkus, Michael E. Plesha, Robert J. Witt ...
784 pages - Publisher: Wiley; 4th edition (October, 2001) ... Language: English - ISBN-10: 0471356050 - ISBN-13: 978-0471356059.


This book has been thoroughly revised and updated to reflect developments since the third edition, with an emphasis on structural mechanics. Coverage is up-to-date without making the treatment highly specialized and mathematically difficult. Basic theory is clearly explained to the reader, while advanced techniques are left to thousands of references available, which are cited in the text. 

LEARN FINITE ELEMENT THEORY AND HOW TO APPLY IT: This book is an accessible introduction to finite element analysis.The exposition moves gradually from simplke concepts to more advanced theory, with the goal of making competent applications based on sold understanding. In addition to theory, considerable attention is given to practical matters: modeling for finite element analysis, checking computed results for errors, and revising an analysis as needed. 

FEATURES: Basic theory is clearly explained. + Includes over 500 analytical problems. + Structural mechanics is emphasized. + Dynamics, nonlinearity, and heat transfer are treated. + Includes application examples with solution critiques.

Tshilidzi Marwala, Ilyes Boulkaibet, Sondipon Adhikari ...
248 pages - Publisher: Wiley; 1st edition (November, 2016) ...
Language: English - ISBN-10: 1119153034 - ISBN-13: 978-1119153030 ...

Covers the probabilistic finite element model based on Bayesian statistics with applications to aeronautical and mechanical engineering: Finite element models are used widely to model the dynamic behaviour of many systems including in electrical, aerospace and mechanical engineering. The book covers probabilistic finite element model updating, achieved using Bayesian statistics. The Bayesian framework is employed to estimate the probabilistic finite element models which take into account of the uncertainties in the measurements and the modelling procedure. The Bayesian formulation achieves this by formulating the finite element model as the posterior distribution of the model given the measured data within the context of computational statistics and applies these in aeronautical and mechanical engineering.

Probabilistic Finite Element Model Updating Using Bayesian Statistics contains simple explanations of computational statistical techniques such as Metropolis-Hastings Algorithm, Slice sampling, Markov Chain Monte Carlo method, hybrid Monte Carlo as well as Shadow Hybrid Monte Carlo and their relevance in engineering. Key features: Contains several contributions in the area of model updating using Bayesian techniques which are useful for graduate students. Explains in detail the use of Bayesian techniques to quantify uncertainties in mechanical structures as well as the use of Markov Chain Monte Carlo techniques to evaluate the Bayesian formulations. The book is essential reading for researchers, practitioners and students in mechanical and aerospace engineering.

Artur Portela, A. Charafi ... 326 pages - Publisher: Springer; (October, 2012) ...
Language: English - ISBN-10: 3642627552 - ISBN-13: 978-3642627552 ...

This text provides the reader with a unique insight into the finite element method, along with symbolic programing that fundamentally changes the way applications can be developed. It is an essential tool for undergraduate or early postgraduate courses as well as an excellent reference book for engineers and scientists who want to quickly develop finite-element programs. The use of symbolic computation in Maple system delivers new benefits in the analysis and understanding of the finite element method.

D. M. Potts, L. Zdravkovic ... 448 pages - Publisher: Thomas Telford Publishing; (January, 1999) ...
Language: English - ISBN-10: 0727727834 - ISBN-13: 978-0727727831 ...

This comprehensive new two-volume work provides the reader with a detailed insight into the use of the finite element method in geotechnical engineering. As specialist knowledge required to perform geotechnical finite element analysis is not normally part of a single engineering degree course, this lucid work will prove invaluable. It brings together essential information presented in a manner understandable to most engineers. Volume 1 presents the theory, assumptions and approximations involved in finite element analysis while Volume 2 concentrates on its practical applications.

Zhuo Zhuang, Zhanli Liu, Binbin Cheng, Jianhui Liao ... 
286 pages - Publisher: Academic Press; 1st edition (April, 2014) ...
Language: English - ISBN-10: 012407717X - ISBN-13: 978-0124077171 ... 

Extended Finite Element Method provides an introduction to the extended finite element method (XFEM), a novel computational method which has been proposed to solve complex crack propagation problems. The book helps readers understand the method and make effective use of the XFEM code and software plugins now available to model and simulate these complex problems. The book explores the governing equation behind XFEM, including level set method and enrichment shape function. The authors outline a new XFEM algorithm based on the continuum-based shell and consider numerous practical problems, including planar discontinuities, arbitrary crack propagation in shells and dynamic response in 3D composite materials. Authored by an expert team from one of China's leading academic and research institutions. + Offers complete coverage of XFEM, from fundamentals to applications, with numerous examples + Provides the understanding needed to effectively use the latest XFEM code and software tools to model and simulate dynamic crack problems.

Carl T. F. Ross ... 480 pages - Publisher: Woodhead Publishing; (September, 1998) ...
Language: English - ISBN-10: 1898563519 - ISBN-13: 978-1898563518 ..

This book is aimed at senior undergraduates, graduates and engineers. It fills the gap between the numerous textbooks on traditional Applied Mechanics and postgraduate books on Finite Element Methods. Fills the gap between the applied mechanics and finite element methods * Discusses basic structural concepts and energy theorems, the discrete system, in-plane quadrilateral elements, field problems and mathematical modelling, among other topics * Aimed at senior undergraduates, graduates and engineers.

Frank Rieg, Reinhard Hackenschmidt, Bettina Alber-Laukant ...
736 pages - Publisher: Hanser; (October, 2014) ...
Language: English - ISBN-10: 1569904871 - ISBN-13: 978-1569904879 ...

The Finite Element Analysis today is the leading engineer's tool to analyze structures concerning engineering mechanics, i.e. statics, heat flows, eigenvalue problems and many more. Thus, this book wants to provide well-chosen aspects of this method for students of engineering sciences and engineers already established in the job in such a way, that they can apply this knowledge immediately to the solution of practical problems.

Pascal Jean Frey, Paul-Louis George ... 848 pages - Publisher: Wiley-ISTE; 2nd edition (April, 2008) ...
Language: English - ISBN-10: 1848210299 - ISBN-13: 978-1848210295 ...

The aim of the second edition 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 are given full coverage, such as mesh modification tools, mesh evaluation criteria, mesh optimization, adaptive mesh construction and parallel meshing techniques. This new edition has been comprehensively updated and also includes a new chapter on mobile or deformable meshes.

Edmund Wittbrodt, Marek Szczotka, Andrzej Maczynski, Stanislaw Wojciech ... 
252 pages - Publisher: Springer; (September, 2014) ...
Language: English - ISBN-10: 3642444911 - ISBN-13: 978-3642444913 ...

With contributions from leading experts in a high-profile field, this collection introduces a range of problems in offshore technology, as well as detailing ways of modeling the dynamics of machines commonly used in this environmentally sensitive industry. This book describes new methods developed for modelling dynamics of machines commonly used in the offshore industry. These methods are based both on the rigid finite element method, used for the description of link deformations, and on homogeneous transformations and joint coordinates, which is applied to the modelling of multibody system dynamics. In this monograph, the bases of the rigid finite element method  and homogeneous transformations are introduced. Selected models for modelling dynamics of offshore devices are then verified both by using commercial software, based on the finite element method, as well as by using additional methods. Examples of mathematical models of offshore machines, such as a gantry crane for Blowout-Preventer (BOP) valve block transportation, a pedestal crane with shock absorber, and pipe laying machinery are presented. Selected problems of control in offshore machinery as well as dynamic optimization in device control are also discussed. Additionally, numerical simulations of pipe-laying operations taking active reel drive into account are shown.

Olek C. Zienkiewicz, Robert L. Taylor, P. Nithiarasu ... 
584 pages - Publisher: Butterworth-Heinemann; 7th edition (November, 2013) ...
Language: English - ISBN-10: 1856176355 - ISBN-13: 978-1856176354 ...

The Finite Element Method for Fluid Dynamics offers a complete introduction the application of the finite element method to fluid mechanics. The book begins with a useful summary of all relevant partial differential equations before moving on to discuss convection stabilization procedures, steady and transient state equations, and numerical solution of fluid dynamic equations.

The character-based split (CBS) scheme is introduced and discussed in detail, followed by thorough coverage of incompressible and compressible fluid dynamics, flow through porous media, shallow water flow, and the numerical treatment of long and short waves. Updated throughout, this new edition includes new chapters on: Fluid-structure interaction, including discussion of one-dimensional and multidimensional problems. + Biofluid dynamics, covering flow throughout the human arterial system. Focusing on the core knowledge, mathematical and analytical tools needed for successful computational fluid dynamics (CFD), The Finite Element Method for Fluid Dynamics is the authoritative introduction of choice for graduate level students, researchers and professional engineers. A proven keystone reference in the library of any engineer needing to understand and apply the finite element method to fluid mechanics. + Founded by an influential pioneer in the field and updated in this seventh edition by leading academics who worked closely with Olgierd C. Zienkiewicz. + Features new chapters on fluid-structure interaction and biofluid dynamics, including coverage of one-dimensional flow in flexible pipes and challenges in modeling systemic arterial circulation.

Gennadiy P. Nikishkov ... 402 pages - Publisher: Springer; (January 12, 2010) ...
Language: English - ISBN-10: 184882971X - ISBN-13: 978-1848829718 ...

The finite element method (FEM) is a computational technique for solving problems which are described by partial differential equations or which can be formulated as functional minimization. The FEM is commonly used in the design and development of products, especially where structural analysis is involved. The simple object model of the Java™ programming language lends itself to efficient implementation of FEM analysis.

Programming Finite Elements in Java™ teaches the reader FEM algorithms and their programming in Java™ through a single finite element Java™ program. The compact, simple code makes it straightforward to understand the algorithms and their implementation, thereby encouraging developers to extend the code to their own tasks. All of the main aspects of finite element techniques are considered: finite element solution;  generation of finite element meshes; and visualization of finite element models and results with Java 3D™.

The step-by-step presentation includes algorithm programming and code explanation at each point. Problems and exercises are provided for each chapter, with Java™ source code and problem data sets available from http://extras.springer.com/2010/978-1-84882-971-8.

Graduate students using the FEM will find the simple but detailed object-oriented programming methods presented in this textbook to be of great assistance in understanding the FEM, including mesh generation and visualization. Programming Finite Elements in Java™ will also be of interest to senior undergraduates doing special studies encompassing the FEM. Researchers and practicing engineers already familiar with the FEM but seeking an alternative approach will find this book readily suited to self study.

Qing-Hua Qin, Hui Wang ... 464 pages - Publisher: CRC Press; (July, 2008) ... Language: English - ASIN: B008I9VDWE by Amazon

Although the Trefftz finite element method (FEM) has become a powerful computational tool in the analysis of plane elasticity, thin and thick plate bending, Poisson’s equation, heat conduction, and piezoelectric materials, there are few books that offer a comprehensive computer programming treatment of the subject. Collecting results scattered in the literature, MATLAB® and C Programming for Trefftz Finite Element Methods provides the detailed MATLAB® and C programming processes in applications of the Trefftz FEM to potential and elastic problems. The book begins with an introduction to the hybrid-Trefftz (HT) FEM that covers basic concepts and general element formulations of the method. It then concentrates on both the essentials and subroutines of MATLAB and C programming. The next few chapters present applications of T-elements to potential problems and linear plane elasticity, discuss how to solve body force in elasticity through radial basis functions, and examine how special purpose functions can be constructed. The final chapter explores advanced topics, such as the construction of Trefftz p-elements, dimensionless transformation, and an alternative formulation to HT FEM. Unifying the computer programming aspects of the Trefftz FEM, this book will stimulate the development and application of this novel method in many facets of practical engineering.

Young W. Kwon, Hyochoong Bang ... 624 pages - Publisher: CRC Press; 2nd edition (July 28, 2000) ...
Language: English - ISBN-10: 0849300967 - ISBN-13: 978-0849300967 ...

Expanded to include a broader range of problems than the bestselling first edition, Finite Element Method Using MATLAB: Second Edition presents finite element approximation concepts, formulation, and programming in a format that effectively streamlines the learning process. It is written from a general engineering and mathematical perspective rather than that of a solid/structural mechanics basis.

What's new in the Second Edition?:
Each chapter in the Second Edition now includes an overview that outlines the contents and purpose of each chapter. The authors have also added a new chapter of special topics in applications, including cracks, semi-infinite and infinite domains, buckling, and thermal stress. They discuss three different linearization techniques to solve nonlinear differential equations. Also included are new sections on shell formulations and MATLAB programs. These enhancements increase the book's already significant value both as a self-study text and a reference for practicing engineers and scientists.

Dimitrios G. Pavlou ... 500 pages - Publisher: Academic Press; 1st edition (July 28, 2015) ...
Language: English - ISBN-10: 0128023864 - ISBN-13: 978-0128023860 ...

Fundamental coverage, analytic mathematics, and up-to-date software applications are hard to find in a single text on the finite element method (FEM). Dimitrios Pavlou’s Essentials of the Finite Element Method: For Structural and Mechanical Engineers makes the search easier by providing a comprehensive but concise text for those new to FEM, or just in need of a refresher on the essentials.

Essentials of the Finite Element Method explains the basics of FEM, then relates these basics to a number of practical engineering applications. Specific topics covered include linear spring elements, bar elements, trusses, beams and frames, heat transfer, and structural dynamics. Throughout the text, readers are shown step-by-step detailed analyses for finite element equations development. The text also demonstrates how FEM is programmed, with examples in MATLAB, CALFEM, and ANSYS allowing readers to learn how to develop their own computer code.

Suitable for everyone from first-time BSc/MSc students to practicing mechanical/structural engineers, Essentials of the Finite Element Method presents a complete reference text for the modern engineer.

* Provides complete and unified coverage of the fundamentals of finite element analysis * Covers stiffness matrices for widely used elements in mechanical and civil engineering practice * Offers detailed and integrated solutions of engineering examples and computer algorithms in ANSYS, CALFEM, and MATLAB.

Amar Khennane ... 487 pages - Publisher: CRC Press; 1st edition (June, 2013) ... Language: English - ISBN-10: 1466580208 - ISBN-13: 978-1466580206 ... 

There are some books that target the theory of the finite element, while others focus on the programming side of things. Introduction to Finite Element Analysis Using MATLAB® and Abaqus accomplishes both. This book teaches the first principles of the finite element method. It presents the theory of the finite element method while maintaining a balance between its mathematical formulation, programming implementation, and application using commercial software. The computer implementation is carried out using MATLAB, while the practical applications are carried out in both MATLAB and Abaqus. MATLAB is a high-level language specially designed for dealing with matrices, making it particularly suited for programming the finite element method, while Abaqus is a suite of commercial finite element software. Includes more than 100 tables, photographs, and figures +  Provides MATLAB codes to generate contour plots for sample results. Introduction to Finite Element Analysis Using MATLAB and Abaqus introduces and explains theory in each chapter, and provides corresponding examples. It offers introductory notes and provides matrix structural analysis for trusses, beams, and frames. The book examines the theories of stress and strain and the relationships between them. The author then covers weighted residual methods and finite element approximation and numerical integration. He presents the finite element formulation for plane stress/strain problems, introduces axisymmetric problems, and highlights the theory of plates. The text supplies step-by-step procedures for solving problems with Abaqus interactive and keyword editions. The described procedures are implemented as MATLAB codes and Abaqus files can be found on the CRC Press website.

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