The Finite Element Method  Its Basis and Fundamentals Book
Score: 4
From 2 Ratings

The Finite Element Method Its Basis and Fundamentals


  • Author : Olek C Zienkiewicz
  • Publisher : Elsevier
  • Release Date : 2005-05-26
  • Genre: Technology & Engineering
  • Pages : 752
  • ISBN 10 : 008047277X

GET BOOK
The Finite Element Method Its Basis and Fundamentals Excerpt :

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, written by the subject's leading authors • Enhancements include more worked examples and exercises • With a new chapter on automatic mesh generation and added materials on shape function development and the use of higher order elements in solving elasticity and field problems Active research has shaped The Finite Element Method into the pre-eminent tool for the modelling of physical systems. It maintains the comprehensive style of earlier editions, while presenting the systematic development for the solution of problems modelled by linear differential equations. Together with the second and third self-contained volumes (0750663219 and 0750663227), The Finite Element Method Set (0750664312) provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics. The classic introduction to the finite element method, by two of the subject's leading authors Any professional or student of engineering involved in understanding the computational modelling of physical systems will inevitably use the techniques in this key text

The Finite Element Method Book

The Finite Element Method


  • Author : Zhu
  • Publisher : John Wiley & Sons
  • Release Date : 2018-03-12
  • Genre: Mathematics
  • Pages : 872
  • ISBN 10 : 9781119107330

GET BOOK
The Finite Element Method Excerpt :

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  Solid mechanics Book

The Finite Element Method Solid mechanics


  • Author : O. C. Zienkiewicz
  • Publisher : Butterworth-Heinemann
  • Release Date : 2000
  • Genre: Mathematics
  • Pages : 459
  • ISBN 10 : 0750650559

GET BOOK
The Finite Element Method Solid mechanics Excerpt :

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 application to advanced solid mechanics and also advanced fluid dynamics. Volume Two: Solid and Structural Mechanics is intended for readers studying structural mechanics at a higher level. Although it is an ideal companion volume to Volume One: The Basis, this advanced text also functions as a "stand-alone" volume, accessible to those who have been introduced to the Finite Element Method through a different route. Volume 1 of the Finite Element Method provides a complete introduction to the method and is essential reading for undergraduates, postgraduates and professional engineers. Volume 3 covers the whole range of fluid dynamics and is ideal reading for postgraduate students and professional engineers working in this discipline. Coverage of the concepts necessary to model behaviour, such as viscoelasticity, plasticity and creep, as well as shells and plates.Up-to-date coverage of new linked interpolation methods for shell and plate formations.New material on non-linear geometry, stability and buckling of structures and large deformations.

Finite Element Method Book
Score: 5
From 1 Ratings

Finite Element Method


  • Author : G.R. Liu
  • Publisher : Elsevier
  • Release Date : 2003-02-21
  • Genre: Technology & Engineering
  • Pages : 384
  • ISBN 10 : 9780080472768

GET BOOK
Finite Element Method Excerpt :

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 state-of-the-art techniques for designing and analyzing engineering systems, including microstructural systems are explained in detail. Case studies are used to demonstrate these theories, methods, techniques and practical applications, and numerous diagrams and tables are used throughout. The case studies and examples use the commercial software package ABAQUS, but the techniques explained are equally applicable for readers using other applications including NASTRAN, ANSYS, MARC, etc. A practical and accessible guide to this complex, yet important subject Covers modeling techniques that predict how components will operate and tolerate loads, stresses and strains in reality

Fundamentals of Finite Element Analysis Book

Fundamentals of Finite Element Analysis


  • Author : Ioannis Koutromanos
  • Publisher : John Wiley & Sons
  • Release Date : 2018-03-05
  • Genre: Technology & Engineering
  • Pages : 712
  • ISBN 10 : 9781119260080

GET BOOK
Fundamentals of Finite Element Analysis Excerpt :

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 a

Introduction to Finite Element Analysis and Design Book

Introduction to Finite Element Analysis and Design


  • Author : Nam H. Kim
  • Publisher : John Wiley & Sons
  • Release Date : 2018-05-24
  • Genre: Technology & Engineering
  • Pages : 552
  • ISBN 10 : 9781119078739

GET BOOK
Introduction to Finite Element Analysis and Design Excerpt :

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 order to illustrate the concepts of FEM. It introduces these concepts by including examples using six different commercial programs online. The all-new, second edition of Introduction to Finite Element Analysis and Design provides many more exercise problems than the first edition. It includes a significant amount of material in modelling issues by using several practical examples from engineering applications. The book features new coverage of buckling of beams and frames and extends heat transfer analyses from 1D (in the previous edition) to 2D. It also covers 3D solid element and its application, as well as 2D. Additionally, readers will find an increase in coverage of finite element analysis of dynamic problems. There is also a companion website with examples that are concurrent with the most recent version of the commercial programs. Offers elaborate explanations of basic finite element procedures Delivers clear explanations of the capabilities and limitations of finite element analysis Includes application examples and tutorials for commercial finite element software, such as MATLAB, ANSYS, ABAQUS and NASTRAN Provides numerous examples and exercise problems Comes with a complete solution manual and results of several engineering design projects Introduction to Finite Element Analysis and Design, 2nd Edition is an excellent text for junior and senior level undergraduate students and beginning graduate students in mechanical, civil, aerospace, biomedic

The Finite Element Method  Theory  Implementation  and Applications Book

The Finite Element Method Theory Implementation and Applications


  • Author : Mats G. Larson
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-01-13
  • Genre: Computers
  • Pages : 395
  • ISBN 10 : 9783642332876

GET BOOK
The Finite Element Method Theory Implementation and Applications 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.​

Essentials of the Finite Element Method Book
Score: 5
From 1 Ratings

Essentials of the Finite Element Method


  • Author : Dimitrios G Pavlou
  • Publisher : Academic Press
  • Release Date : 2015-07-14
  • Genre: Technology & Engineering
  • Pages : 500
  • ISBN 10 : 9780128026069

GET BOOK
Essentials of the Finite Element Method Excerpt :

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

The Finite Element Method Set Book
Score: 4
From 4 Ratings

The Finite Element Method Set


  • Author : Olek C Zienkiewicz
  • Publisher : Elsevier
  • Release Date : 2005-11-25
  • Genre: Technology & Engineering
  • Pages : 1872
  • ISBN 10 : 0080531679

GET BOOK
The Finite Element Method Set 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

Finite Element Method Book

Finite Element Method


  • Author : Gouri Dhatt
  • Publisher : John Wiley & Sons
  • Release Date : 2012-12-27
  • Genre: Mathematics
  • Pages : 624
  • ISBN 10 : 9781118569702

GET BOOK
Finite Element Method Excerpt :

This book offers an in-depth presentation of the finite element method, aimed at engineers, students and researchers in applied sciences. The description of the method is presented in such a way as to be usable in any domain of application. The level of mathematical expertise required is limited to differential and matrix calculus. The various stages necessary for the implementation of the method are clearly identified, with a chapter given over to each one: approximation, construction of the integral forms, matrix organization, solution of the algebraic systems and architecture of programs. The final chapter lays the foundations for a general program, written in Matlab, which can be used to solve problems that are linear or otherwise, stationary or transient, presented in relation to applications stemming from the domains of structural mechanics, fluid mechanics and heat transfer.

Energy Methods and Finite Element Techniques Book

Energy Methods and Finite Element Techniques


  • Author : Muhsin Jweeg
  • Publisher : Elsevier
  • Release Date : 2021-10-07
  • Genre: Technology & Engineering
  • Pages : 588
  • ISBN 10 : 9780323886512

GET BOOK
Energy Methods and Finite Element Techniques Excerpt :

Energy Methods and Finite Element Techniques: Stress and Vibration Applications provides readers with a complete understanding of the theory and practice of finite element analysis using energy methods to better understand, predict, and mitigate static stress and vibration in different structural and mechanical configurations. It presents readers with the underlying theory, techniques for implementation, and field-tested applications of these methods using linear ordinary differential equations. Statistical energy analysis and its various applications are covered, and applications discussed include plate problems, bars and beams, plane strain and stress, 3D elasticity problems, vibration problems, and more. Higher order plate and shell elements, steady state heat conduction, and shape function determinations and numerical integration are analyzed as well. Introduces the theory, practice, and applications of energy methods and the finite element method for predicting and mitigating structural stress and vibrations Outlines modified finite element techniques such as those with different classes of meshes and basic functions Discusses statistical energy analysis and its vibration and acoustic applications

The Finite Element Method for Elliptic Problems Book

The Finite Element Method for Elliptic Problems


  • Author : P.G. Ciarlet
  • Publisher : Elsevier
  • Release Date : 1978-01-01
  • Genre: Mathematics
  • Pages : 529
  • ISBN 10 : 0080875254

GET BOOK
The Finite Element Method for Elliptic Problems Excerpt :

The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author’s experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on “Additional Bibliography and Comments should provide many suggestions for conducting seminars.

The Mathematical Theory of Finite Element Methods Book

The Mathematical Theory of Finite Element Methods


  • Author : Susanne Brenner
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-03-14
  • Genre: Mathematics
  • Pages : 363
  • ISBN 10 : 9781475736588

GET BOOK
The Mathematical Theory of Finite Element Methods 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

Smoothed Finite Element Methods Book
Score: 5
From 1 Ratings

Smoothed Finite Element Methods


  • Author : G.R. Liu
  • Publisher : CRC Press
  • Release Date : 2016-04-19
  • Genre: Science
  • Pages : 691
  • ISBN 10 : 1439820287

GET BOOK
Smoothed Finite Element Methods 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 more accurate results, a generally higher convergence rate in energy without increasing computational cost, and easier auto-meshing of the problem domain. Drawing on the authors’ extensive research results, Smoothed Finite Element Methods presents the theoretical framework and development of various S-FEM models. After introducing background material, basic equations, and an abstracted version of the FEM, the book discusses the overall modeling procedure, fundamental theories, error assessment matters, and necessary building blocks to construct useful S-FEM models. It then focuses on several specific S-FEM models, including cell-based (CS-FEM), node-based (NS-FEM), edge-based (ES-FEM), face-based (FS-FEM), and a combination of FEM and NS-FEM (αFEM). These models are then applied to a wide range of physical problems in solid mechanics, fracture mechanics, viscoelastoplasticity, plates, piezoelectric structures, heat transfer, and structural acoustics. Requiring no previous knowledge of FEM, this book shows how computational methods and numerical techniques like the S-FEM help in the design and analysis of advanced engineering systems in rapid and cost-effective ways since the modeling and simulation can be performed automatically in a virtual environment without physically building the system. Readers can easily apply the methods presented in the text to their own engineering problems for reliable and certified solutions.