Comment on: 'A hybrid-Trefftz element containing an elliptic hole', by Manicka Dhanasekar, Jianjun Han and Qinghua Qin, Finite Elements in Analysis and Design 42 (2006) 1314-1323

摘要

The authors intended to present in their paper [1] improvements to the "Special finite elements with holes and internal cracks" published by R. Piltner in 1985 in the International Journal for Numerical Methods in Engineering [2]. However, in the comparison done in Ref. [1] wrong results are attributed to the original elements.For the example with the plate containing an internal crack (see [1, Fig. 8]), the original 8-node hole element with 15 Trefftz functions gives an error of 0.16% for the stress intensity factor, the 16-node hole element with 31 Trefftz functions gives an error of 0.15%.