Average strain strategy for finite elements

Authors:
D. F. E. Stolle;W. S. Smith
Affiliations:
Department of Civil Engineering, McMaster University, Canada;Department of Computing and Software, McMaster University, Hamilton, Ont., Canada L8S 4K1
Venue:
Finite Elements in Analysis and Design
Year:
2004

Citing 3
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Abstract

This paper describes an average strain/gradient strategy. Although the procedure can be applied to any element, the specific case of the 8-noded, hexahedral element is considered when presenting the approach. The performance of one-dimensional elements, and of 4- and 8-noded quadrilateral elements, is examined for problems, for which closed-form solutions exist. It is shown that the average strain formulation yields stiffness matrices that are more flexible than those obtained via 'exact' integration.