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A Primer in Elasticity

  • Paolo Podio-Guidugli

Table of contents

  1. Front Matter
    Pages i-x
  2. Paolo Podio-Guidugli
    Pages 1-23
  3. Paolo Podio-Guidugli
    Pages 25-46
  4. Paolo Podio-Guidugli
    Pages 47-73
  5. Paolo Podio-Guidugli
    Pages 75-102
  6. Back Matter
    Pages 103-108

About this book

Introduction

I want to thank R. L. Fosdick, M. E. Gurtin and W. O. Williams for their detailed criticism of the manuscript. I also thank F. Davi, M. Lembo, P. Nardinocchi and M. Vianello for valuable remarks prompted by their reading of one or another of the many previous drafts, from 1988 to date. Since it has taken me so long to bring this writing to its present form, many other colleagues and students have episodically offered useful comments and caught mistakes: a list would risk to be incomplete, but I am heartily grateful to them all. Finally, I thank V. Nicotra for skillfully transforming my hand sketches into book-quality figures. P. PODIO-GUIDUGLI Roma, April 2000 Journal of Elasticity 58: 1-104,2000. 1 P. Podio-Guidugli, A Primer in Elasticity. © 2000 Kluwer Academic Publishers. CHAPTER I Strain 1. Deformation. Displacement Let 8 be a 3-dimensional Euclidean space, and let V be the vector space associated with 8. We distinguish a point p E 8 both from its position vector p(p):= (p-o) E V with respect to a chosen origin 0 E 8 and from any triplet (~1, ~2, ~3) E R3 of coordinates that we may use to label p. Moreover, we endow V with the usual inner product structure, and orient it in one of the two possible manners. It then makes sense to consider the inner product a .

Keywords

applied mathematics continuum mechanics material materials mechanics model operator stress

Authors and affiliations

  • Paolo Podio-Guidugli
    • 1
  1. 1.Department of Civil EngineeringUniversity of Rome “Tor Vergata”RomeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-017-0594-3
  • Copyright Information Springer Science+Business Media B.V. 2000
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-5592-7
  • Online ISBN 978-94-017-0594-3
  • Buy this book on publisher's site
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