Variational Methods in Theoretical Mechanics

  • J. T. Oden
  • J. N. Reddy

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-X
  2. J. T. Oden, J. N. Reddy
    Pages 1-6
  3. J. T. Oden, J. N. Reddy
    Pages 52-81
  4. J. T. Oden, J. N. Reddy
    Pages 82-138
  5. J. T. Oden, J. N. Reddy
    Pages 139-214
  6. J. T. Oden, J. N. Reddy
    Pages 262-290
  7. Back Matter
    Pages 291-304

About this book

Introduction

This is a textbook written for use in a graduate-level course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduate-level course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. He also gratefully acknowledge that much of our own research work on variational theory was supported by the U.S. Air Force Office of Scientific Research. He are indebted to Mr. Ming-Goei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and pains­ taking job of typing the manuscript. J. T. ODEN J. N. REDDY Table of Contents PREFACE 1. INTRODUCTION 1.1 The Role of Variational Theory in Mechanics. 1 1.2 Some Historical Comments ......... . 2 1.3 Plan of Study ............... . 5 7 2. MATHEMATICAL FOUNDATIONS OF CLASSICAL VARIATIONAL THEORY 7 2.1 Introduction . . . . . . . .

Keywords

calculus continuum mechanics design function mechanics proof science

Authors and affiliations

  • J. T. Oden
    • 1
  • J. N. Reddy
    • 2
  1. 1.The University of Texas at AustinUSA
  2. 2.The University of OklahomaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-96312-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1976
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-07600-1
  • Online ISBN 978-3-642-96312-4
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book
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