A further study on incompatible models: revise-stiffness approach and completeness of trial functions

The paper concerns the incompatible finite element methodology. First, the patch test condition (PTC) for axisymmetric problems is studied. For the im plementation of PTC, a post-treatment approach, the revise-stiffness (R-s) method is suggested to construct incompatible elements. A quadratic-complet eness incompatible displacement mode with the fewest element parameters is formulated. In terms of the R-s approach and the general revise-displacemen t (R-u) method, a set of four-node incompatible elements is constructed for plane and axisymmetric problems. Numerical tests show that the suggested a pproaches in this paper can be used to produce various incompatible models with high performance. (C) 2001 Elsevier Science B.V. All rights reserved.