A variationally consistent generalized variable formulation for enhanced strain finite elements.

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Bibliographic Details
Title:	A variationally consistent generalized variable formulation for enhanced strain finite elements.
Authors:	Perego, Umberto¹
Source:	Communications in Numerical Methods in Engineering. Mar2000, Vol. 16 Issue 3, p151-163. 13p. 1 Diagram, 1 Graph.
Subjects:	Finite element method, Numerical analysis, Engineering, Structural analysis (Engineering), Strains & stresses (Mechanics)
Abstract:	The so-called enhanced strain finite elements are based on the enrichment of the standard compatible strain field by the introduction of additional, non-compatible strains. This class of elements can be derived starting from a partial Hu–Washizu variational principle. However, since in the original enhanced strain formulation the stress field is eliminated from the formulation, a separate least-squares procedure had to be implemented for a variational derivation of the stress field. A three-field generalized variable approach incorporating strain enhancement is proposed in the present paper within the context of linear elastic structural problems. It is shown how the original two-field enhanced strain method can be naturally recovered by suitably choosing the strain model. For this case a straightforward, but still variationally consistent stress recovery is proposed. Copyright © 2000 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	The so-called enhanced strain finite elements are based on the enrichment of the standard compatible strain field by the introduction of additional, non-compatible strains. This class of elements can be derived starting from a partial Hu–Washizu variational principle. However, since in the original enhanced strain formulation the stress field is eliminated from the formulation, a separate least-squares procedure had to be implemented for a variational derivation of the stress field. A three-field generalized variable approach incorporating strain enhancement is proposed in the present paper within the context of linear elastic structural problems. It is shown how the original two-field enhanced strain method can be naturally recovered by suitably choosing the strain model. For this case a straightforward, but still variationally consistent stress recovery is proposed. Copyright © 2000 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
ISSN:	10698299
DOI:	10.1002/(SICI)1099-0887(200003)16:3<151::AID-CNM309>3.0.CO;2-5