Fundamentals of Finite Element Analysis

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  • Publisher : John Wiley & Sons
  • Release : 05 March 2018
  • ISBN : 9781119260080
  • Page : 712 pages
  • Rating : 4.5/5 from 103 voters

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An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the strong form of the problem (governing differential equations and boundary conditions) is formulated. Subsequently, a weak form of the governing equations is established. Finally, a finite element approximation is introduced, transforming the weak form into a system of equations where the only unknowns are nodal values of the field function. The procedure is applied to one-dimensional elasticity and heat conduction, multi-dimensional steady-state scalar field problems (heat conduction, chemical diffusion, flow in porous media), multi-dimensional elasticity and structural mechanics (beams/shells), as well as time-dependent (dynamic) scalar field problems, elastodynamics and structural dynamics. Important concepts for finite element computations, such as isoparametric elements for multi-dimensional analysis and Gaussian quadrature for numerical evaluation of integrals, are presented and explained. Practical aspects of FEA and advanced topics, such as reduced integration procedures, mixed finite elements and verification and validation of the FEM are also discussed. Provides detailed derivations of finite element equations for a variety of problems. Incorporates quantitative examples on one-dimensional and multi-dimensional FEA. Provides an overview of multi-dimensional linear elasticity (definition of stress and strain tensors, coordinate transformation rules, stress-strain relation and material symmetry) before presenting the pertinent FEA procedures. Discusses practical and advanced aspects of FEA, such as treatment of constraints, locking, reduced integration, hourglass control, and multi-field (mixed) formulations. Includes chapters on transient (step-by-step) solution schemes for time-dependent scalar field problems and elastodynamics/structural dynamics. Contains a chapter dedicated to verification and validation for the FEM and another chapter dedicated to solution of linear systems of equations and to introductory notions of parallel computing. Includes appendices with a review of matrix algebra and overview of matrix analysis of discrete systems. Accompanied by a website hosting an open-source finite element program for linear elasticity and heat conduction, together with a user tutorial. Fundamentals of Finite Element Analysis: Linear Finite Element Analysis is an ideal text for undergraduate and graduate students in civil, aerospace and mechanical engineering, finite element software vendors, as well as practicing engineers and anybody with an interest in linear finite element analysis.

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Fundamentals of Finite Element Analysis

Fundamentals of Finite Element Analysis
  • Author : Ioannis Koutromanos
  • Publisher : John Wiley & Sons
  • Release Date : 2018-03-05
  • ISBN : 9781119260080
GET THIS BOOKFundamentals of Finite Element Analysis

An introductory textbook covering the fundamentals of linear finite element analysis (FEA) This book constitutes the first volume in a two-volume set that introduces readers to the theoretical foundations and the implementation of the finite element method (FEM). The first volume focuses on the use of the method for linear problems. A general procedure is presented for the finite element analysis (FEA) of a physical problem, where the goal is to specify the values of a field function. First, the

The Finite Element Method: Solid mechanics

The Finite Element Method: Solid mechanics
  • Author : O. C. Zienkiewicz,Robert Leroy Taylor,R. L. Taylor,Robert Lee Taylor
  • Publisher : Butterworth-Heinemann
  • Release Date : 2000
  • ISBN : 0750650559
GET THIS BOOKThe Finite Element Method: Solid mechanics

In the years since the fourth edition of this seminal work was published, active research has developed the Finite Element Method into the pre-eminent tool for the modelling of physical systems. Written by the pre-eminent professors in their fields, this new edition of the Finite Element Method maintains the comprehensive style of the earlier editions and authoritatively incorporates the latest developments of this dynamic field. Expanded to three volumes the book now covers the basis of the method and its

TEXTBOOK OF FINITE ELEMENT ANALYSIS

TEXTBOOK OF FINITE ELEMENT ANALYSIS
  • Author : P. SESHU
  • Publisher : PHI Learning Pvt. Ltd.
  • Release Date : 2003-01-01
  • ISBN : 9788120323155
GET THIS BOOKTEXTBOOK OF FINITE ELEMENT ANALYSIS

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

Introduction to Finite Element Analysis and Design

Introduction to Finite Element Analysis and Design
  • Author : Nam H. Kim,Bhavani V. Sankar,Ashok V. Kumar
  • Publisher : John Wiley & Sons
  • Release Date : 2018-05-24
  • ISBN : 9781119078739
GET THIS BOOKIntroduction to Finite Element Analysis and Design

Introduces the basic concepts of FEM in an easy-to-use format so that students and professionals can use the method efficiently and interpret results properly Finite element method (FEM) is a powerful tool for solving engineering problems both in solid structural mechanics and fluid mechanics. This book presents all of the theoretical aspects of FEM that students of engineering will need. It eliminates overlong math equations in favour of basic concepts, and reviews of the mathematics and mechanics of materials in

The Finite Element Method: Theory, Implementation, and Applications

The Finite Element Method: Theory, Implementation, and Applications
  • Author : Mats G. Larson,Fredrik Bengzon
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-01-13
  • ISBN : 9783642332876
GET THIS BOOKThe Finite Element Method: Theory, Implementation, and Applications

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

The Finite Element Method in Engineering

The Finite Element Method in Engineering
  • Author : S. S. Rao
  • Publisher : Pergamon
  • Release Date : 1989
  • ISBN : UOM:39076000631841
GET THIS BOOKThe Finite Element Method in Engineering

Essentials of the Finite Element Method

Essentials of the Finite Element Method
  • Author : Dimitrios G Pavlou
  • Publisher : Academic Press
  • Release Date : 2015-07-14
  • ISBN : 9780128026069
GET THIS BOOKEssentials of the Finite Element Method

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

The Finite Element Method

The Finite Element Method
  • Author : Zhu
  • Publisher : John Wiley & Sons
  • Release Date : 2018-03-12
  • ISBN : 9781119107330
GET THIS BOOKThe Finite Element Method

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

Finite Element Methods and Their Applications

Finite Element Methods and Their Applications
  • Author : Zhangxin Chen
  • Publisher : Springer Science & Business Media
  • Release Date : 2006-03-30
  • ISBN : 9783540280781
GET THIS BOOKFinite Element Methods and Their Applications

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,

The Finite Element Method: Its Basis and Fundamentals

The Finite Element Method: Its Basis and Fundamentals
  • Author : Olek C Zienkiewicz,Robert L Taylor,J.Z. Zhu
  • Publisher : Elsevier
  • Release Date : 2005-05-26
  • ISBN : 008047277X
GET THIS BOOKThe Finite Element Method: Its Basis and Fundamentals

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,

Nonlinear Finite Element Methods

Nonlinear Finite Element Methods
  • Author : Peter Wriggers
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-11-04
  • ISBN : 9783540710011
GET THIS BOOKNonlinear Finite Element Methods

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

Finite Element Method

Finite Element Method
  • Author : G.R. Liu,S. S. Quek
  • Publisher : Elsevier
  • Release Date : 2003-02-21
  • ISBN : 9780080472768
GET THIS BOOKFinite Element Method

The Finite Element Method (FEM) has become an indispensable technology for the modelling and simulation of engineering systems. Written for engineers and students alike, the aim of the book is to provide the necessary theories and techniques of the FEM for readers to be able to use a commercial FEM package to solve primarily linear problems in mechanical and civil engineering with the main focus on structural mechanics and heat transfer. Fundamental theories are introduced in a straightforward way, and

Finite Element Methods

Finite Element Methods
  • Author : Jonathan Whiteley
  • Publisher : Springer
  • Release Date : 2017-01-26
  • ISBN : 9783319499710
GET THIS BOOKFinite Element Methods

This book presents practical applications of the finite element method to general differential equations. The underlying strategy of deriving the finite element solution is introduced using linear ordinary differential equations, thus allowing the basic concepts of the finite element solution to be introduced without being obscured by the additional mathematical detail required when applying this technique to partial differential equations. The author generalizes the presented approach to partial differential equations which include nonlinearities. The book also includes variations of the

Automation of Finite Element Methods

Automation of Finite Element Methods
  • Author : Jože Korelc,Peter Wriggers
  • Publisher : Springer
  • Release Date : 2016-06-08
  • ISBN : 9783319390055
GET THIS BOOKAutomation of Finite Element Methods

New finite elements are needed as well in research as in industry environments for thedevelopment of virtual prediction techniques. The design and implementation of novel finiteelements for specific purposes is a tedious and time consuming task, especially for nonlinearformulations. The automation of this process can help to speed up this processconsiderably since the generation of the final computer code can be accelerated by order ofseveral magnitudes.This book provides the reader with the required knowledge needed to employ modernautomatic tools

The Mathematical Theory of Finite Element Methods

The Mathematical Theory of Finite Element Methods
  • Author : Susanne Brenner,L. Ridgway Scott
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • ISBN : 9781475736588
GET THIS BOOKThe Mathematical Theory of Finite Element Methods

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