Small Oscillations and Stability of a Thick Highly Elastic Slab-Reference-Cited by-同舟云学术

Small Oscillations and Stability of a Thick Highly Elastic Slab

Published:2003-06-01 Issue:3 Volume:8 Page:231-262
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Usmani S. A.¹

Affiliation:

1. Atomic Energy of Canada Ltd, 2251 Speakman Drive, Mississauga, Ontario, Canada, L5K 1B2

Abstract

The problem of small oscillations of a thick slab superimposed on a finite biaxial deformation subject to both dead and hydrostatic lateral loads is investigated. A general frequency equation is derived from which specific results are deduced for both slender and stubby slabs. The question of the stability of a thick plate is studied with the aid of a kinetic stability criterion. The results for a special case are compared with others in the literature. Upon the introduction of certain effective Lamé moduli, correspondence with the work of others is established, and some existing discrepancies are explained. Some results for the disputed problem of stability in equibiaxial finite deformation are presented.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/1081286503008003001

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