Finite Elements Methods In Mechanics

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Finite Elements Methods in Mechanics

M. Reza Eslami
Finite Elements Methods in Mechanics Book PDF

Author : M. Reza Eslami
Publisher : Springer
Page : 0 pages
File Size : 44,9 Mb
Release : 2016-09-24
Category : Technology & Engineering
ISBN : 3319382268

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Finite Elements Methods in Mechanics by M. Reza Eslami Pdf

This book covers all basic areas of mechanical engineering, such as fluid mechanics, heat conduction, beams and elasticity with detailed derivations for the mass, stiffness and force matrices. It is especially designed to give physical feeling to the reader for finite element approximation by the introduction of finite elements to the elevation of elastic membrane. A detailed treatment of computer methods with numerical examples are provided. In the fluid mechanics chapter, the conventional and vorticity transport formulations for viscous incompressible fluid flow with discussion on the method of solution are presented. The variational and Galerkin formulations of the heat conduction, beams and elasticity problems are also discussed in detail. Three computer codes are provided to solve the elastic membrane problem. One of them solves the Poisson’s equation. The second computer program handles the two dimensional elasticity problems and the third one presents the three dimensional transient heat conduction problems. The programs are written in C++ environment.

Finite Element Methods in Mechanics

Noboru Kikuchi
Finite Element Methods in Mechanics Book PDF

Author : Noboru Kikuchi
Publisher : CUP Archive
Page : 444 pages
File Size : 52,7 Mb
Release : 1986-06-12
Category : Mathematics
ISBN : 0521339723

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Finite Element Methods in Mechanics by Noboru Kikuchi Pdf

This is a textbook written for mechanical engineering students at first-year graduate level. As such, it emphasizes the development of finite element methods used in applied mechanics. The book starts with fundamental formulations of heat conduction and linear elasticity and derives the weak form (i.e. the principle of virtual work in elasticity) from a boundary value problem that represents the mechanical behaviour of solids and fluids. Finite element approximations are then derived from this weak form. The book contains many useful exercises and the author appropriately provides the student with computer programs in both BASIC and FORTRAN for solving them. Furthermore, a workbook is available with additional computer listings, and also an accompanying disc that contains the BASIC programs for use on IBM-PC microcomputers and their compatibles. Thus the usefulness and versatility of this text is enhanced by the student's ability to practise problem solving on accessible microcomputers.

The Finite Element Method in Structural Mechanics

Gangan Prathap
The Finite Element Method in Structural Mechanics Book PDF

Author : Gangan Prathap
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 40,5 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9789401733199

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The Finite Element Method in Structural Mechanics by Gangan Prathap Pdf

This book is not intended to be a text-book, delineating the full scope of finite element methodology, nor is it a comprehensive handbook of modern finite element practice for the finite element engineer. There are enough books that serve to do these and more. It is however intended as a monograph or treatise on a very specific area - the design of robust and accurate elements for applications in struc tural mechanics. It attempts to describe the epistemological conflict between the principles in finite element technology that can be described as Art and those that have a scientific basis invested in it and which can be admitted as science as the subject evolved and came to be accepted. The principles of structural mechanics as a branch of physics are well founded and have a sound scientific basis. The mathematical description of it has also a long history and is rigorously based on the infinitesimal and variational calculus. Of much more recent origin has been the branch of knowledge dealing with the numerical modelling of the beha viour of structural material. The most powerful method available to do this today is the finite element method. It is eminently suited to carry out the entire cycle of design and analysis of a structural configuration on a digital computer.

Practical Finite Element Analysis

Nitin S. Gokhale
Practical Finite Element Analysis Book PDF

Author : Nitin S. Gokhale
Publisher : FINITE TO INFINITE
Page : 27 pages
File Size : 47,6 Mb
Release : 2008
Category : Engineering
ISBN : 9788190619509

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Practical Finite Element Analysis by Nitin S. Gokhale Pdf

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.

The Finite Element Method for Solid and Structural Mechanics

Olek C Zienkiewicz,Robert L Taylor
The Finite Element Method for Solid and Structural Mechanics Book PDF

Author : Olek C Zienkiewicz,Robert L Taylor
Publisher : Elsevier
Page : 736 pages
File Size : 45,5 Mb
Release : 2005-08-09
Category : Technology & Engineering
ISBN : 9780080455587

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The Finite Element Method for Solid and Structural Mechanics by Olek C Zienkiewicz,Robert L Taylor Pdf

This is the key text and reference for engineers, researchers and senior students dealing with the analysis and modelling of structures – from large civil engineering projects such as dams, to aircraft structures, through to small engineered components. Covering small and large deformation behaviour of solids and structures, it is an essential book for engineers and mathematicians. The new edition is a complete solids and structures text and reference in its own right and forms part of the world-renowned Finite Element Method series by Zienkiewicz and Taylor. New material in this edition includes separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of plasticity (isotropic and anisotropic); node-to-surface and 'mortar' method treatments; problems involving solids and rigid and pseudo-rigid bodies; and multi-scale modelling. Dedicated coverage of solid and structural mechanics by world-renowned authors, Zienkiewicz and Taylor New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage for small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling

Finite Element Methods and Their Applications

Zhangxin Chen
Finite Element Methods and Their Applications Book PDF

Author : Zhangxin Chen
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 46,6 Mb
Release : 2005-10-14
Category : Science
ISBN : 9783540280781

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Finite Element Methods and Their Applications by Zhangxin Chen Pdf

Introduce every concept in the simplest setting and to maintain a level of treatment that is as rigorous as possible without being unnecessarily abstract. Contains unique recent developments of various finite elements such as nonconforming, mixed, discontinuous, characteristic, and adaptive finite elements, along with their applications. Describes unique recent applications of finite element methods to important fields such as multiphase flows in porous media and semiconductor modelling. Treats the three major types of partial differential equations, i.e., elliptic, parabolic, and hyperbolic equations.

Finite Elements in Fracture Mechanics

Meinhard Kuna
Finite Elements in Fracture Mechanics Book PDF

Author : Meinhard Kuna
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 40,9 Mb
Release : 2013-07-19
Category : Science
ISBN : 9789400766808

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Finite Elements in Fracture Mechanics by Meinhard Kuna Pdf

Fracture mechanics has established itself as an important discipline of growing interest to those working to assess the safety, reliability and service life of engineering structures and materials. In order to calculate the loading situation at cracks and defects, nowadays numerical techniques like finite element method (FEM) have become indispensable tools for a broad range of applications. The present monograph provides an introduction to the essential concepts of fracture mechanics, its main goal being to procure the special techniques for FEM analysis of crack problems, which have to date only been mastered by experts. All kinds of static, dynamic and fatigue fracture problems are treated in two- and three-dimensional elastic and plastic structural components. The usage of the various solution techniques is demonstrated by means of sample problems selected from practical engineering case studies. The primary target group includes graduate students, researchers in academia and engineers in practice.

Finite Element Method

Sinan Muftu
Finite Element Method Book PDF

Author : Sinan Muftu
Publisher : Academic Press
Page : 542 pages
File Size : 46,8 Mb
Release : 2022-07-14
Category : Technology & Engineering
ISBN : 9780128232002

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Finite Element Method by Sinan Muftu Pdf

Finite Element Method: Physics and Solution Methods aims to provide the reader a sound understanding of the physical systems and solution methods to enable effective use of the finite element method. This book focuses on one- and two-dimensional elasticity and heat transfer problems with detailed derivations of the governing equations. The connections between the classical variational techniques and the finite element method are carefully explained. Following the chapter addressing the classical variational methods, the finite element method is developed as a natural outcome of these methods where the governing partial differential equation is defined over a subsegment (element) of the solution domain. As well as being a guide to thorough and effective use of the finite element method, this book also functions as a reference on theory of elasticity, heat transfer, and mechanics of beams. Covers the detailed physics governing the physical systems and the computational methods that provide engineering solutions in one place, encouraging the reader to conduct fully informed finite element analysis Addresses the methodology for modeling heat transfer, elasticity, and structural mechanics problems Extensive worked examples are provided to help the reader to understand how to apply these methods in practice

Finite Element Methods in Civil and Mechanical Engineering

Arzhang Angoshtari,Ali Gerami Matin
Finite Element Methods in Civil and Mechanical Engineering Book PDF

Author : Arzhang Angoshtari,Ali Gerami Matin
Publisher : CRC Press
Page : 182 pages
File Size : 45,9 Mb
Release : 2020-12-09
Category : Technology & Engineering
ISBN : 9780429809279

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Finite Element Methods in Civil and Mechanical Engineering by Arzhang Angoshtari,Ali Gerami Matin Pdf

The finite element method is widely employed for numerical simulations in engineering and science due to its accuracy and efficiency. This concise introduction to the mathematical theory of the finite element method presents a selection of applications in civil and mechanical engineering including beams, elastic membranes, the wave equation, heat transfer, seepage in embankment, soil consolidation, incompressible fluids, and linear elasticity. Jupyter notebooks containing all Python programs of each chapter can be downloaded from the book's companion website. Arzhang Angoshtari is an assistant professor and Ali Gerami Matin is a graduate student, both in the department of Civil and Environmental Engineering at the George Washington University, USA. Their research interests cover theoretical and computational mechanics and finite element methods.

Nonlinear Finite Element Methods

Peter Wriggers
Nonlinear Finite Element Methods Book PDF

Author : Peter Wriggers
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 55,8 Mb
Release : 2008-11-04
Category : Technology & Engineering
ISBN : 9783540710011

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Nonlinear Finite Element Methods by Peter Wriggers Pdf

Finite element methods have become ever more important to engineers as tools for design and optimization, now even for solving non-linear technological problems. However, several aspects must be considered for finite-element simulations which are specific for non-linear problems: These problems require the knowledge and the understanding of theoretical foundations and their finite-element discretization as well as algorithms for solving the non-linear equations. This book provides the reader with the required knowledge covering the complete field of finite element analyses in solid mechanics. It is written for advanced students in engineering fields but serves also as an introduction into non-linear simulation for the practising engineer.

The Finite Element Method

Zhu
The Finite Element Method Book PDF

Author : Zhu
Publisher : John Wiley & Sons
Page : 872 pages
File Size : 40,7 Mb
Release : 2018-03-20
Category : Mathematics
ISBN : 9781119107347

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The Finite Element Method by Zhu Pdf

A comprehensive review of the Finite Element Method (FEM), this book provides the fundamentals together with a wide range of applications in civil, mechanical and aeronautical engineering. It addresses both the theoretical and numerical implementation aspects of the FEM, providing examples in several important topics such as solid mechanics, fluid mechanics and heat transfer, appealing to a wide range of engineering disciplines. Written by a renowned author and academician with the Chinese Academy of Engineering, The Finite Element Method would appeal to researchers looking to understand how the fundamentals of the FEM can be applied in other disciplines. Researchers and graduate students studying hydraulic, mechanical and civil engineering will find it a practical reference text.

The Finite Element Method in Engineering

Singiresu S. Rao
The Finite Element Method in Engineering Book PDF

Author : Singiresu S. Rao
Publisher : Elsevier
Page : 688 pages
File Size : 51,8 Mb
Release : 2011-03-15
Category : Technology & Engineering
ISBN : 9780080470504

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The Finite Element Method in Engineering by Singiresu S. Rao Pdf

The Finite Element Method in Engineering is the only book to provide a broad overview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. This is an updated and improved version of a finite element text long noted for its practical applications approach, its readability, and ease of use. Students will find in this textbook a thorough grounding of the mathematical principles underlying the popular, analytical methods for setting up a finite element solution based on mathematical equations. The book provides a host of real-world applications of finite element analysis, from structural design to problems in fluid mechanics and thermodynamics. It has added new sections on the assemblage of element equations, as well as an important new comparison between finite element analysis and other analytical methods showing advantages and disadvantages of each. This book will appeal to students in mechanical, structural, electrical, environmental and biomedical engineering. The only book to provide a broadoverview of the underlying principles of finite element analysis and where it fits into the larger context of other mathematically based engineering analytical tools. New sections added on the assemblage of element equations, and an important new comparison between finite element analysis and other analytical methods, showing the advantages and disadvantages of each.

The Finite Element Method

Zhangxin Chen
The Finite Element Method Book PDF

Author : Zhangxin Chen
Publisher : World Scientific Publishing Company
Page : 348 pages
File Size : 43,9 Mb
Release : 2011-10-06
Category : Mathematics
ISBN : 9789813100657

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The Finite Element Method by Zhangxin Chen Pdf

This Finite Element Method offers a fundamental and practical introduction to the finite element method, its variants, and their applications in engineering. Every concept is introduced in the simplest possible setting, while maintaining a level of treatment that is as rigorous as possible without being unnecessarily abstract. Various finite elements in one, two, and three space dimensions are introduced, and their applications to elliptic, parabolic, hyperbolic, and nonlinear equations and to solid mechanics, fluid mechanics, and porous media flow problems are addressed. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each chapter. This book serves as a text a for one-semester course for upper-level undergraduates and beginning graduate students and as a professional reference for engineers, mathematicians, and scientists.

Energy and Finite Element Methods in Structural Mechanics

Irving H Shames
Energy and Finite Element Methods in Structural Mechanics Book PDF

Author : Irving H Shames
Publisher : CRC Press
Page : 784 pages
File Size : 54,5 Mb
Release : 1985-01-01
Category : Science
ISBN : 0891165053

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Energy and Finite Element Methods in Structural Mechanics by Irving H Shames Pdf

THE FINITE ELEMENT METHOD : Basic Concepts and ApplicationsDarrell Pepper, Advanced Projects Research, Inc. California, and Dr . JuanHeinrich, University of Arizona, TucsonTh i s introductory textbook is designed for use in undergraduate, graduate, andshort courses in structural engineering and courses devoted specifically to thefinite element method. This method is rapidly becoming the most widely usedstandard for numerical approximation for partial differential equations definingengineering and scientific problems.The authors present a simplified approach to introducing the method and a coherentand easily digestible explanation of detailed mathematical derivations andtheory Example problems are included and can be worked out manually Anaccompanying floppy disk compiling computer codes is included and required forsome of the multi-dimensional homework problems.

Finite Elements

Dietrich Braess
Finite Elements Book PDF

Author : Dietrich Braess
Publisher : Cambridge University Press
Page : 374 pages
File Size : 46,5 Mb
Release : 2001-04-12
Category : Mathematics
ISBN : 0521011957

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Finite Elements by Dietrich Braess Pdf

"This definitive introduction to finite element methods has been updated thoroughly for this third edition, which features important new material for both research and application of the finite element method. The discussion of saddle point problems is a highlight of the book and has been elaborated to include many more non-standard applications. The chapter on applications in elasticity now contains a complete discussion of locking phenomena." "Graduate students who do not necessarily have any particular background in differential equations, but require an introduction to finite element methods, will find the text invaluable. Specifically, the chapter on finite elements in solid mechanics provides a bridge between mathematics and engineering."--BOOK JACKET.