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A Primer in Elasticity

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  • © 2000

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Table of contents (4 chapters)

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About this book

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 .

Authors and Affiliations

  • Department of Civil Engineering, University of Rome “Tor Vergata”, Rome, Italy

    Paolo Podio-Guidugli

Bibliographic Information

  • Book Title: A Primer in Elasticity

  • Authors: Paolo Podio-Guidugli

  • DOI: https://doi.org/10.1007/978-94-017-0594-3

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2000

  • Hardcover ISBN: 978-0-7923-6642-3Published: 30 November 2000

  • Softcover ISBN: 978-90-481-5592-7Published: 01 December 2010

  • eBook ISBN: 978-94-017-0594-3Published: 14 March 2013

  • Edition Number: 1

  • Number of Pages: X, 108

  • Additional Information: Reprinted from JOURNAL OF ELASTICITY

  • Topics: Classical Mechanics, Mathematical Modeling and Industrial Mathematics, Solid Mechanics, Applications of Mathematics

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