Mid-node admissible spaces for quadratic triangular arbitrarily curved 2D finite elements

This paper presents the extension of the mid-node admissible space (MAS) concept for two-dimensional quadratic triangular element (2DQTE) to the case when more than one edge is curved. The mathematical background for the MAS for 2DQTE with more than one edge curved is developed. A metric, based on the determination of the Jacobian distribution, whose evaluation and implementation is aided through the use of the MAS is developed. The evaluation of the quality of an element based on this metric and procedures to repair an element to produce better results are also presented.