NEW GENERALIZED CONFORMING AXISYMMETRIC ELEMENTS BASED ON THE QUADRILATERAL AREA COORDINATE METHOD

By using nodal and perimeter version generalized conforming conditions, a 4-node quadrilateral axisymmetric element AQACQ6 containing internal parameters is formulated by the Quadrilateral Area Coordinate (QAC) method. Then, by modifying its nonconforming strain matrix, another new element AQACA6M being of ability to pass the strict form constant stress/strain patch test is thusly constructed. It is shown that the displacement fields of the two new elements both possess second-order completeness in global coordinate system. Numerical results indicate that the new QAC axisymmetric elements exhibit better performance than other conventional isoparametric models in mesh distortion and almost incompressible problems. The efficiency of the QAC method and the generalized conforming theory for developing simple, effective and reliable finite elements are again demonstrated.