Using generalized variational principles to resolve the St. Venant's torsional bar with a crack

According to generalized variational principles suitable for linear elastic incompatible displacement elements given by Professor Chien Weizang, using crack tip singular element and isoparametric surrounding element given by the author of this paper, we will study the St. Venant's torsional bar with a radial vertical crack and compare the present computed results with the results of reference [2]. The present computed results show that, using the method provided in this paper, satisfactory convergent solution can be obtained under lower degree of freedom.