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A Primer in Elasticity (Paperback, Softcover reprint of hardcover 1st ed. 2000)
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A Primer in Elasticity (Paperback, Softcover reprint of hardcover 1st ed. 2000)
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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. (c) 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 .
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