Variational Methods in Theoretical Mechanics

  • John T. Oden
  • Junuthula N. Reddy

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-XI
  2. John T. Oden, Junuthula N. Reddy
    Pages 1-6
  3. John T. Oden, Junuthula N. Reddy
    Pages 7-52
  4. John T. Oden, Junuthula N. Reddy
    Pages 53-82
  5. John T. Oden, Junuthula N. Reddy
    Pages 83-138
  6. John T. Oden, Junuthula N. Reddy
    Pages 139-214
  7. John T. Oden, Junuthula N. Reddy
    Pages 257-285
  8. Back Matter
    Pages 286-311

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. We also gratefully acknowedge that much of our own research work on va ri at i ona 1 theory was supported by the U. S. Ai r Force Offi ce of Scientific Research. We 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 painstaking job of typing the manuscript. This revised edition contains only minor revisions of the first. Some misprints and errors have been corrected, and some sections were deleted, which were felt to be out of date.

Keywords

Potential continuum mechanics fluid mechanics inverse problem kinematics mechanics plasticity stress

Authors and affiliations

  • John T. Oden
    • 1
  • Junuthula N. Reddy
    • 2
  1. 1.The Texas Institute for Computational MechanicsUniversity of Texas at AustinAustinUSA
  2. 2.Department of Engineering Science and MechanicsVirginia Polytechnic Institute and State UniversityBlacksburgUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-68811-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 1983
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-11917-3
  • Online ISBN 978-3-642-68811-9
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book
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