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# 'Introduction to FEA' Collection

The ‘Introduction to FEA’ collection offers three of NAFEMS’ most popular FEA publications, specially selected to provide an overall introduction to finite element analysis without over-complicated mathematics:

• A Finite Element Primer
• Knowledge Base - Don't Forget the Basics
• A Designer's Guide to Simulation with Finite Element Analysis

# Book 1: A Finite Element Primer

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NAFEMS

First Published - January 1992
Reissued 2003
Hardback, 277 Pages

Many of today's finite element systems are intended to be robust and friendly; and may be used by engineers and scientists who are unfamiliar with the finite element method, its virtues and its vices. Indeed,some finite element systems may be embedded in a CAD/CAE package and the user may be a production engineer, designer, or systems analyst who not only does not understand the characteristics of finite element systems, but may very well not even wish to know.

The problems of the novice have been identified and addressed in this primer. The aim is not to write just another finite element text book. There are scores of these, and many are daunting for the new reader since, not unnaturally, many go into algebraic detail of specific elements or they highlight areas of current research. The aim is also not to write a detailed instruction manual, since this cannot be done without referring to a specific system. Indeed, all commercial systems have their own introductory and users' manuals, together with more advanced programmers' manuals in some cases,and these are usually comprehensive. They do not, however, discuss the various vices or failings of the system, for obvious reasons.

This Primer will try to explain the basis of the Finite Element Method, stressing the essentially simple fundamental concepts without digressing into lengthy algebra or over-complicated mathematics. There will be no functional analysis in Hilbert spaces, and Lagrange multipliers will just be mentioned, even though they are used sparingly. Some algebra is inevitable;otherwise the text becomes a descriptive routine rather like explaining the fitting together of pieces of a jigsaw, and this can lead to all sorts of confusion. However, the algebra can be kept concise using matrix notation which is obligatory in discussing these methods. The Primer will strip some of the mysteries from the method and in particular will explain precisely what the method does exactly, and what it does approximately, and as a consequence which errors are important and which are not. Some errors are very useful sources of guidance.

# Book 2: Knowledge Base - Don't Forget the Basics

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M. Chillery

Published July 2010
Softback, 36 Pages

In October 2003, NAFEMS began to publish a series of articles in benchmark magazine, aimed at covering a number of basic FEA principals in a readable and useful format. This “knowledge base” series continued to run over the next seven years, based on the principal that it is always useful to reinforce basic concepts and theories, no matter how advanced the user of the technology has become.In that time, topics as diverse as mesh convergence, pressure vessel stresses, and fatigue have been covered by the author, Mark Chillery of Chalice Engineering. The aim has always been to outline the basic theories behind each topic, and give the reader a quick “one-page” refresher on the subject matter, without delving too deeply into the specifics of the area being covered.

After around 23 articles spanning many aspects of FEA, it was decided that the series itself had run its course, but that the material produced could provide great value to analysts by being put together in one reference manual, which could be used as a day-to-day guide to the basics of some of the engineering analysts most critical areas of work.

And so this ‘compilation’ has now been produced in order to bring these articles together in an accessible and user-friendly format, which we hope will prove invaluable as an initial reference into a multitude of topics.The articles themselves do not claim to be “definitive” guides to each topic, nor are they the only manner in which some of the analysis processes defined can be carried out – rather they are written from the perspective of an experienced analyst, working with the technology day in, day out.

This compilation also differs from many NAFEMS publications, in that the articles have not been extensively edited by the NAFEMS technical working groups. Each article itself could be developed into a publication many times the length of the original by going through this process, but the aim of the articles is not to provide an all-encompassing view of the topic being covered, rather, they should be treated as an introduction to the basics, to underpin basic concepts, and inspire further reading.We hope you find the book useful, and that it helps in some way towards reinforcing some technical knowledge that you use in your everyday work.As the byline says - “Don’t Forget the Basics...”

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