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Displacement/pressure mixed interpolation in the method of finite spheres

✍ Scribed by Suvranu De; Klaus-Jürgen Bathe

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
278 KB
Volume
51
Category
Article
ISSN
0029-5981

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✦ Synopsis

Abstract

The displacement‐based formulation of the method of finite spheres is observed to exhibit volumetric ‘locking’ when incompressible or nearly incompressible deformations are encountered. In this paper, we present a displacement/pressure mixed formulation as a solution to this problem. We analyse the stability and optimality of the formulation for several discretization schemes using numerical inf–sup tests. Issues concerning computational efficiency are also discussed. Copyright © 2001 John Wiley & Sons, Ltd.

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