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Two-dimensional motion in a Bell-constrained plate

Sandiford, KJ, Rogerson, GA and Murphy, JG 2006, 'Two-dimensional motion in a Bell-constrained plate' , International Journal of Engineering Science, 44 (5-6) , pp. 379-394.

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Abstract

The so-called Bell constraint has been used for several years in plasticity theory and has additionally been the subject to several investigations within an elastic context. In this paper the effects of the Bell constraint on the propagation of harmonic waves in a finitely deformed elastic plate are considered. Strong ellipticity conditions are first derived for the unbounded case, and are shown to be dependent on the scalar multiplier associated with the Bell constraint. The dispersion relation, associated with harmonic wave propagation in a plate composed of such a material with zero incremental surface traction, is derived in respect of an arbitrary strain energy function. Asymptotic expansions are then obtained for high and low wave number. These expansions, which give phase speed as a function of wave number, harmonic number and pre-stress, are shown to give excellent agreement with numerical solutions.

Item Type: Article
Themes: Subjects / Themes > Q Science > QA Mathematics
Subjects outside of the University Themes
Schools: Colleges and Schools > College of Science & Technology
Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering > Materials & Physics Research Centre
Colleges and Schools > College of Science & Technology > School of Computing, Science and Engineering
Journal or Publication Title: International Journal of Engineering Science
Publisher: Elsevier
Refereed: Yes
ISSN: 00207225
Depositing User: H Kenna
Date Deposited: 23 Aug 2007 12:34
Last Modified: 20 Aug 2013 16:47
URI: http://usir.salford.ac.uk/id/eprint/343

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