A Four-Node Hybrid-Trefftz Plane Elasticity Element with Fundamental Analytical Solutions
A new four-node hybrid-Trefftz element is developed for plane elasticity problems. From the Airy stress function, the fundamental analytical solutions of the governing equation are derived as Trefftz functions for the intra-element (Trefftz) displacement field. Together with an independent frame displacement field along the element boundary, the element formulation is then constructed following the modified variational functional. Several numerical examples indicate that the proposed element exhibits good performance.
Fei Hu and Beibei Wang
K. Y. Wang "A Four-Node Hybrid-Trefftz Plane Elasticity Element with Fundamental Analytical Solutions", Advanced Materials Research, Vol. 279, pp. 194-199, 2011