文档介绍:INTRODUCTION
TO
CONTINUUM MECHANICS
FOR
ENGINEERS
(REVISED EDITION)
2007
By
Ray M. Bowen
Professor of Mechanical Engineering
President Emeritus
Texas A&M University
(First Edition Originally Published By Plenum Press 1989 as Volume 39)
(of Mathematical Concepts and Methods in Science and Engineering)
(ISBN 0-306-43050-9)
(Series Editor: Angelo Miele)
Copyright Ray M. Bowen
Updated and Revised 2008
Preface (First Edition)
This textbook is intended to introduce engineering graduate students to the essentials of
modern Continuum Mechanics. The objective of an introductory course is to establish certain
classical continuum models within a modern framework. Engineering students need a firm
understanding of classical models such as the linear viscous fluids (Navier-Stokes theory) and
infinitesimal elasticity. This understanding should include an appreciation for the status of the
classical theories as special cases of general nonlinear continuum models. The relationship of the
classical theories to nonlinear models is essential in light of the increasing reliance, by engineering
designers and researchers, on puter codes. These codes are based upon models
which have a specific and limited range of validity. Given the danger associated with the use of
puter codes in circumstances where the model is not valid, engineers have a need for an
in depth understanding of continuum mechanics and the continuum models which can be
formulated by use of continuum mechanics techniques.
Classical continuum models and others involve a utilization of the balance equations of
continuum mechanics, the second law of thermodynamics, the principles of material frame-
indifference and material symmetry. In addition, they involve linearizations of various types. In
this text, an effort is made to explain carefully how the governing principles, linearizations and
other bine t