IMPROVEMENT OF THREE‐DIMENSIONAL HYBRID HEXAHEDRAL ELEMENTS BY USING ORTHOGONAL APPROACH
- 1 March 1991
- journal article
- Published by Emerald Publishing in Engineering Computations
- Vol. 8 (3) , 257-271
- https://doi.org/10.1108/eb023838
Abstract
Based on the orthogonal approach for hybrid element methods, refined three‐dimensional isoparametric hybrid hexahedral elements have been developed. The behaviour of the proposed models are discussed in respect of coordinate invariance, spurious zero energy modes and the ability to pass the patch test. By adopting the orthogonality of strain energy, the element stiffness matrix can be decomposed into a series of stiffness matrices in which the implementational effectiveness can be improved. A number of examples is used to demonstrate the implementation efficiency, accuracy and distortion insensitivity of the proposed elements, and its capacity of handling nearly incompressible materialsKeywords
This publication has 7 references indexed in Scilit:
- Isoparametric hybrid hexahedral elements for three dimensional stress analysisInternational Journal for Numerical Methods in Engineering, 1988
- An efficient formulation of hexahedral elements with high accuracy for bending and incompressibilityComputers & Structures, 1987
- An efficient flexurally superconvergent hexahedral elementEngineering Computations, 1987
- Relations between incompatible displacement model and hybrid stress modelInternational Journal for Numerical Methods in Engineering, 1986
- Finite element stabilization matrices-a unification approachComputer Methods in Applied Mechanics and Engineering, 1985
- Applications of isoparametric three-dimensional hybrid-stress finite elements with least-order stress fieldsComputers & Structures, 1984
- Hourglass control in linear and nonlinear problemsComputer Methods in Applied Mechanics and Engineering, 1984