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The Finite Elastic Plane Strain Deformation of a Mooney-Rivlin Body

Blatz, P. J. (1964) The Finite Elastic Plane Strain Deformation of a Mooney-Rivlin Body. International Journal of Engineering Science, 2 (4). pp. 405-411. ISSN 0020-7225. https://resolver.caltech.edu/CaltechAUTHORS:20151207-171424371

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Abstract

The problem of developing a general systematic method for obtaining solutions to boundary value problems in finite elasticity is still unsolved, although of paramount importance in many applications where geometrical nonlinearity cannot be neglected. This paper does not present such a method, but nevertheless, calls attention to the nature of the compatibility equation, for plane-strain deformation, which is cast in terms of a stress function. Some special solutions are recorded, at which time some interesting comments about the existence of singular stress fields are made. It is hoped that this paper may stimulate further investigations which might lead to more general solutions of the compatibility equation than are presented below.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0020-7225(64)90018-7DOIArticle
http://www.sciencedirect.com/science/article/pii/0020722564900187PublisherArticle
Additional Information:© 1964 Pergamon Press. Received 11 June 1963.
Issue or Number:4
Record Number:CaltechAUTHORS:20151207-171424371
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20151207-171424371
Official Citation:P.J. Blatz, The finite elastic plane strain deformation of a mooney-rivlin body, International Journal of Engineering Science, Volume 2, Issue 4, 1964, Pages 405-411, ISSN 0020-7225, http://dx.doi.org/10.1016/0020-7225(64)90018-7. (http://www.sciencedirect.com/science/article/pii/0020722564900187)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:62672
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:08 Dec 2015 22:49
Last Modified:03 Oct 2019 09:21

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