文档介绍：T. Belytschko, Introduction, December 16, 1998
CHAPTER 1
INTRODUCTION
by Ted Belytschko
Northwestern University
Copyright 1996
NONLINEAR FINITE ELEMENTS IN DESIGN
Nonlinear finite element analysis is an ponent puter-
aided design. Testing of prototypes is increasingly being replaced by simulation
with nonlinear finite element methods because this provides a more rapid and less
expensive way to evaluate design concepts and design details. For example, in
the field of automotive design, simulation of crashes is replacing full scale tests,
both for the evaluation of early design concepts and details of the final design,
such as accelerometer placement for airbag deployment, padding of the interior,
and selection of materials ponent cross-sections for meeting
crashworthiness criteria. In many fields of manufacturing, simulation is speeding
the design process by allowing simulation of processes such as sheet-metal
forming, extrusion of parts, and casting. In the electronics industries, simulation
is replacing drop-tests for the evaluation of product durability.
For both users and developers of nonlinear finite element programs, an
understanding of the fundamental concepts of nonlinear finite element analysis is
essential. Without an understanding of the fundamentals, a user must treat the
finite element program as a black box that provides simulations. However, even
more so than linear finite element analysis, nonlinear finite element analysis
confronts the user with many choices and pitfalls. Without an understanding of
the implication and meaning of these choices and difficulties, a user is at a severe
disadvantage.
The purpose of this book is to describe the methods of nonlinear finite
element analysis for solid mechanics. Our intent is to provide an integrated
treatment so that the reader can gain an understanding of the fundamental
methods, a feeling for parative usefulness of different approaches and an
appreciation of the diff