THE REFERENCE COORDINATES AND DISTORTION MEASURES FOR QUADRILATERAL HYBRID STRESS MEMBRANE ELEMENT

Authors
Citation
Ky. Yuan et Thh. Pian, THE REFERENCE COORDINATES AND DISTORTION MEASURES FOR QUADRILATERAL HYBRID STRESS MEMBRANE ELEMENT, Computational mechanics, 14(4), 1994, pp. 311-322
Citations number
26
Categorie Soggetti
Mechanics
Journal title
ISSN journal
01787675
Volume
14
Issue
4
Year of publication
1994
Pages
311 - 322
Database
ISI
SICI code
0178-7675(1994)14:4<311:TRCADM>2.0.ZU;2-D
Abstract
The skew Cartesian coordinate system determined by the Jacobian of the isoparametric transformation evaluated at the origin can be shown to be a geodesic coordinate system at the origin. By using a theory in di fferential geometry, inverse relations of the isoparametric coordinate transformation can be derived and expressed in terms of these geodesi c coordinates. In the formulation of hybrid stress finite elements, it is suggested as a new strategy for assumed stresses that such coordin ates be used as the reference coordinates. The theory described is exe mplified by its applications to the 4-node hybrid stress membrane elem ents. A set of new distortion-measuring parameters for the quadrilater al element are also proposed based on such theory.