A consecutive-interpolation quadrilateral element (CQ4): Formulation and applications

An efficient, smooth and accurate quadrilateral element with four-node based on the consecutive-interpolation procedure (CIP) is formulated. The CIP is developed recently by Zheng et al. (Acta Mech Sin 26 (2010) 265–278) for triangular element with three-node. In this setting the approximation functions handle both nodal values and averaged nodal gradients as interpolation conditions. Two stages of the interpolation are required; the primary...