Continuum Theory of Inhomogeneities in Simple Bodies: A Reprint of Six Memoirs

Noll, W., Toupin, R. A., Wang, C. C., Truesdell, C.

ISBN 10: 3540040692 / ISBN 13: 9783540040699

Published by Springer, 1968

About this Item

180 pp., Hardcover, near fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

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Bibliographic Details

• Title: Continuum Theory of Inhomogeneities in Simple Bodies: A Reprint of Six Memoirs
• Publisher: Springer
• Publication Date: 1968
• Language: English
• ISBN 10: 3540040692
• ISBN 13: 9783540040699
• Binding: Hardcover
• Condition: Fine

About this title

Synopsis

The term "dislocation" is used in several different senses in the literature of mechanics. In the elassic work of VOLTERRA, WEINGARTEN, and SOMIGLIANA, it refers to particular solutions of the equations of linear elasticity, in which a con- tinuous field of strain does not correspond, globally, to a continuous field of dis- placement. The configuration of the body so obtained, even when that body is free of all load, is subject to interior stress that does not vanish, and in general no deformation of the body as a wh oIe can bring it into a stress-free configuration. Nevertheless, if any sufficiently sm all part of the body is considered by itself, a configuration for it in which the stress is everywhere zero may be found at once. In this work constitutiL"e assumptions provide the basic data. These consist in prescribed stress-free configurations for each material point and in prescribed elastic moduli governing the response to deformation from the stress-free configuration at each material point. Everything follows from these data, ineluding the dislocations present, if any. In particular, the common boundary-value problems of linear elasticity may be set and solved for the dislocated body.