[...]... introduction to continuum mechanics that is not intimidating Just like previous editions, the third edition is an outgrowth of course notes and problems used to teach the topic to senior undergraduate or first year graduate students The impetus to do the third edition was to expand it into a text suitable for a two quarter graduate course sequence at Cal Poly This course sequence introduces continuum mechanics. .. presented Continuum mechanics is just the process of confirming the foundation for all that was done in undergraduate studies 1.3 Notation As one would imagine, building a theoretical foundation for the study of continuum mechanics creates notational difficulties This is especially true for the student just learning continuum mechanics In the pages that follow there are many different symbols used for all... focal points around which studies in elasticity, plasticity, viscoelasticity and fluid mechanics proceed Mathematically, the fundamental equations of continuum mechanics mentioned above may be developed in two separate but essentially equivalent formulations One, the 1 2 Continuum Mechanics for Engineers integral, or global form, derives from a consideration of the basic principles being applied to a finite... Creep and relaxation responses for various viscoelastic models 362 This page intentionally left blank Preface to the Third Edition First, a thank you to all the users of the second edition over the past years We hope that you will find the updates made in the text make it a more valuable introduction for students to continuum mechanics The changes made in this edition were substantial but we... reader, for your interest G Thomas Mase Flint, Michigan, USA George E Mase East Lansing, Michigan, USA This page intentionally left blank Preface to the First Edition (Note: Some chapter reference information has changed in the Third Edition. ) Continuum mechanics is the fundamental basis upon which several graduate courses in engineering science such as elasticity, plasticity, viscoelasticity and fluid mechanics. .. “occupying” of space that will be the basis of our study of continuum mechanics 1.1 Continuum Mechanics If we accept the continuum concept of matter, we agree to ignore the discrete composition of material bodies, and to assume that the substance of such bodies is distributed uniformly throughout, and completely fills the space it occupies In keeping with this continuum model, we assert that matter may be divided... preface to our second editions, by thanking all of those who used the text over the last six years Thanks also to those of you who have inquired about this revised and expanded version We hope that you find this edition as helpful as the first to introduce seniors or graduate students to continuum mechanics The second edition, like its predecessor, is an outgrowth of teaching continuum mechanics to first-... materials 1.2 Starting Over The topic of continuum mechanics typically comes at the end of an undergraduate or at the beginning of a graduate program Continuum mechanics has a reputation of being a theoretical course without many applications (during the course) The first of part of continuum mechanics reputation is correct: it is based on fundamental mathematics and mechanics However, the second part is... are many, many applications for continuum mechanics, but it is hard to cover the basics and develop the applications in a single quarter or semester Continuum mechanics takes all the mathematical, physical and engineering principles and casts them in a single structure from which the student is prepared to pursue advanced engineering topics After having a course in continuum mechanics many applications... crashworthiness, biomechanics, polymers and more Many of the sophisticated simulation programs such as LS-DYNA become a playground for advanced design and analysis once continuum mechanics has been mastered Some students find continuum mechanics a difficult subject However, outside of a new notation, the topics studied should be very familiar to the student Vectors have to be written in component form, and we . ENGINEERING Kalyan Annamalai and Ishwar K. Puri CONTINUUM MECHANICS FOR ENGINEERS, Third Edition Thomas Mase, Ronald E. Smelser, and George E. Mase EXACT SOLUTIONS FOR BUCKLING OF STRUCTURAL MEMBERS C.M of Tables Preface to the Third Edition Preface to the Second Edition Preface to the First Edition Acknowledgments Authors Nomenclature 1 Continuum Theory 1 1.1 Continuum Mechanics . . . . . . business Boca Raton London New York G. THOMAS MASE RONALD E. SMELSER GEORGE E. MASE CONTINUUM MECHANICS FOR ENGINEERS THIRD EDITION 85387_FM.indd 3 6/26/09 3:02:53 PM CRC Press Taylor & Francis Group 6000