The Finite Element Method Set

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Publisher : Elsevier
ISBN 13 : 0080531679
Total Pages : 1863 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis The Finite Element Method Set by : O. C. Zienkiewicz

Download or read book The Finite Element Method Set written by O. C. Zienkiewicz and published by Elsevier. This book was released on 2005-11-25 with total page 1863 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Contact Problems in Elasticity

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Publisher : SIAM
ISBN 13 : 9781611970845
Total Pages : 508 pages
Book Rating : 4.9/5 (78 download)

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Book Synopsis Contact Problems in Elasticity by : N. Kikuchi

Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.

Inequalities in Mechanics and Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642661653
Total Pages : 415 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Inequalities in Mechanics and Physics by : G. Duvant

Download or read book Inequalities in Mechanics and Physics written by G. Duvant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. We begin by giving a simple example of a partial differential inequality that occurs in an elementary physics problem. We consider a fluid with pressure u(x, t) at the point x at the instant t that 3 occupies a region Q oflR bounded by a membrane r of negligible thickness that, however, is semi-permeable, i. e., a membrane that permits the fluid to enter Q freely but that prevents all outflow of fluid. One can prove then (cf. the details in Chapter 1, Section 2.2.1) that au (aZu azu aZu) (1) in Q, t>o, -a - du = g du = -a z + -a z + -a z t Xl X X3 z l g a given function, with boundary conditions in the form of inequalities u(X,t»o => au(x,t)/an=O, XEr, (2) u(x,t)=o => au(x,t)/an?:O, XEr, to which is added the initial condition (3) u(x,O)=uo(x). We note that conditions (2) are non linear; they imply that, at each fixed instant t, there exist on r two regions r~ and n where u(x, t) =0 and au (x, t)/an = 0, respectively. These regions are not prescribed; thus we deal with a "free boundary" problem.

The Finite Element Method: Solid mechanics

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Publisher : Butterworth-Heinemann
ISBN 13 : 9780750650557
Total Pages : 482 pages
Book Rating : 4.6/5 (55 download)

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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:

Finite Elements

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Publisher : Springer
ISBN 13 : 1461237866
Total Pages : 313 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Finite Elements by : D.L. Dwoyer

Download or read book Finite Elements written by D.L. Dwoyer and published by Springer. This book was released on 2013-12-20 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the proceedings ofthe ICASE/LaRC workshop on "Finite Element Theory and Application" held during July 28-30, 1986. The purpose of this workshop was to provide an update on the status of finite element theory, to assess the impactoftbis theory on practice, and to suggest directions for Cuture research. There were thirteen participants in the workshop. Some of them were leading mathematicians working on the finite element theory, and the rest expert practitioners in the areas of fluid dynamics and structural analysis. The first six articles in this volume provide a brief review of the theoretical and computational aspects of finite element methods (FEM). The remaining seven articles deal with a variety of applications highlighting the type of results that are possible, and indicating areas which deserve future research. The first article is by Temam. lt provides an introduction and overview of the general finite element methods for the nonspecialist. lt also illustrates the power of finite element methods with two specific applications-the free surface flowjstructure interaction problern and the compressible Euler solu tion to the flow past a finite aspect ratio flat plate at incidence. The second article by Brezzi is againan introduction and overview ofmixed finite element methods. lt includes a brief discussion of special techniques for solving the discrete problem, as weil as some applications to certain basic problems in elasticity and hydrodynamics.

TEXTBOOK OF FINITE ELEMENT ANALYSIS

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Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 8120323157
Total Pages : 340 pages
Book Rating : 4.1/5 (23 download)

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Book Synopsis TEXTBOOK OF FINITE ELEMENT ANALYSIS by : P. SESHU

Download or read book TEXTBOOK OF FINITE ELEMENT ANALYSIS written by P. SESHU and published by PHI Learning Pvt. Ltd.. This book was released on 2003-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester course in Finite Element Method, this compact and well-organized text presents FEM as a tool to find approximate solutions to differential equations. This provides the student a better perspective on the technique and its wide range of applications. This approach reflects the current trend as the present-day applications range from structures to biomechanics to electromagnetics, unlike in conventional texts that view FEM primarily as an extension of matrix methods of structural analysis. After an introduction and a review of mathematical preliminaries, the book gives a detailed discussion on FEM as a technique for solving differential equations and variational formulation of FEM. This is followed by a lucid presentation of one-dimensional and two-dimensional finite elements and finite element formulation for dynamics. The book concludes with some case studies that focus on industrial problems and Appendices that include mini-project topics based on near-real-life problems. Postgraduate/Senior undergraduate students of civil, mechanical and aeronautical engineering will find this text extremely useful; it will also appeal to the practising engineers and the teaching community.

The Finite Element Method: Theory, Implementation, and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3642332870
Total Pages : 403 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis The Finite Element Method: Theory, Implementation, and Applications by : Mats G. Larson

Download or read book The Finite Element Method: Theory, Implementation, and Applications written by Mats G. Larson and published by Springer Science & Business Media. This book was released on 2013-01-13 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our approach is mathematical in nature with a strong focus on the underlying mathematical principles, such as approximation properties of piecewise polynomial spaces, and variational formulations of partial differential equations, but with a minimum level of advanced mathematical machinery from functional analysis and partial differential equations. In principle, the material should be accessible to students with only knowledge of calculus of several variables, basic partial differential equations, and linear algebra, as the necessary concepts from more advanced analysis are introduced when needed. Throughout the text we emphasize implementation of the involved algorithms, and have therefore mixed mathematical theory with concrete computer code using the numerical software MATLAB is and its PDE-Toolbox. We have also had the ambition to cover some of the most important applications of finite elements and the basic finite element methods developed for those applications, including diffusion and transport phenomena, solid and fluid mechanics, and also electromagnetics.​

Smoothed Finite Element Methods

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Publisher : CRC Press
ISBN 13 : 1439820287
Total Pages : 694 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Smoothed Finite Element Methods by : G.R. Liu

Download or read book Smoothed Finite Element Methods written by G.R. Liu and published by CRC Press. This book was released on 2016-04-19 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generating a quality finite element mesh is difficult and often very time-consuming. Mesh-free methods operations can also be complicated and quite costly in terms of computational effort and resources. Developed by the authors and their colleagues, the smoothed finite element method (S-FEM) only requires a triangular/tetrahedral mesh to achieve mo

Practical Finite Element Analysis

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Publisher : FINITE TO INFINITE
ISBN 13 : 8190619500
Total Pages : 27 pages
Book Rating : 4.1/5 (96 download)

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Book Synopsis Practical Finite Element Analysis by : Nitin S. Gokhale

Download or read book Practical Finite Element Analysis written by Nitin S. Gokhale and published by FINITE TO INFINITE. This book was released on 2008 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: Highlights of the book: Discussion about all the fields of Computer Aided Engineering, Finite Element Analysis Sharing of worldwide experience by more than 10 working professionals Emphasis on Practical usuage and minimum mathematics Simple language, more than 1000 colour images International quality printing on specially imported paper Why this book has been written ... FEA is gaining popularity day by day & is a sought after dream career for mechanical engineers. Enthusiastic engineers and managers who want to refresh or update the knowledge on FEA are encountered with volume of published books. Often professionals realize that they are not in touch with theoretical concepts as being pre-requisite and find it too mathematical and Hi-Fi. Many a times these books just end up being decoration in their book shelves ... All the authors of this book are from IIT€™s & IISc and after joining the industry realized gap between university education and the practical FEA. Over the years they learned it via interaction with experts from international community, sharing experience with each other and hard route of trial & error method. The basic aim of this book is to share the knowledge & practices used in the industry with experienced and in particular beginners so as to reduce the learning curve & avoid reinvention of the cycle. Emphasis is on simple language, practical usage, minimum mathematics & no pre-requisites. All basic concepts of engineering are included as & where it is required. It is hoped that this book would be helpful to beginners, experienced users, managers, group leaders and as additional reading material for university courses.

Improved Accuracy for Finite Element Structural Analysis Via a New Integrated Force Method

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Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Improved Accuracy for Finite Element Structural Analysis Via a New Integrated Force Method by :

Download or read book Improved Accuracy for Finite Element Structural Analysis Via a New Integrated Force Method written by and published by . This book was released on 1992 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Theory of Finite Element Methods

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Publisher : Springer Science & Business Media
ISBN 13 : 1475736584
Total Pages : 369 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis The Mathematical Theory of Finite Element Methods by : Susanne Brenner

Download or read book The Mathematical Theory of Finite Element Methods written by Susanne Brenner and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide

Accuracy of Finite Element Approximations to Structural Problems

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Publisher :
ISBN 13 :
Total Pages : 60 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Accuracy of Finite Element Approximations to Structural Problems by : Langley Research Center

Download or read book Accuracy of Finite Element Approximations to Structural Problems written by Langley Research Center and published by . This book was released on 1970 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automated Solution of Differential Equations by the Finite Element Method

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Publisher : Springer Science & Business Media
ISBN 13 : 3642230997
Total Pages : 723 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Automated Solution of Differential Equations by the Finite Element Method by : Anders Logg

Download or read book Automated Solution of Differential Equations by the Finite Element Method written by Anders Logg and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tutorial written by researchers and developers behind the FEniCS Project and explores an advanced, expressive approach to the development of mathematical software. The presentation spans mathematical background, software design and the use of FEniCS in applications. Theoretical aspects are complemented with computer code which is available as free/open source software. The book begins with a special introductory tutorial for beginners. Following are chapters in Part I addressing fundamental aspects of the approach to automating the creation of finite element solvers. Chapters in Part II address the design and implementation of the FEnicS software. Chapters in Part III present the application of FEniCS to a wide range of applications, including fluid flow, solid mechanics, electromagnetics and geophysics.

Finite Element Methods and Navier-Stokes Equations

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Publisher : Springer Science & Business Media
ISBN 13 : 9027721483
Total Pages : 504 pages
Book Rating : 4.0/5 (277 download)

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Book Synopsis Finite Element Methods and Navier-Stokes Equations by : C. Cuvelier

Download or read book Finite Element Methods and Navier-Stokes Equations written by C. Cuvelier and published by Springer Science & Business Media. This book was released on 1986-03-31 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations

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Publisher : Academic Press
ISBN 13 : 1483267989
Total Pages : 814 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations by : A. K. Aziz

Download or read book The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations written by A. K. Aziz and published by Academic Press. This book was released on 2014-05-10 with total page 814 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations is a collection of papers presented at the 1972 Symposium by the same title, held at the University of Maryland, Baltimore County Campus. This symposium relates considerable numerical analysis involved in research in both theoretical and practical aspects of the finite element method. This text is organized into three parts encompassing 34 chapters. Part I focuses on the mathematical foundations of the finite element method, including papers on theory of approximation, variational principles, the problems of perturbations, and the eigenvalue problem. Part II covers a large number of important results of both a theoretical and a practical nature. This part discusses the piecewise analytic interpolation and approximation of triangulated polygons; the Patch test for convergence of finite elements; solutions for Dirichlet problems; variational crimes in the field; and superconvergence result for the approximate solution of the heat equation by a collocation method. Part III explores the many practical aspects of finite element method. This book will be of great value to mathematicians, engineers, and physicists.

NASA Technical Note

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Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Note by :

Download or read book NASA Technical Note written by and published by . This book was released on 1970 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 804 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1971 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: