Abstract: In view of limitations of finite element simulation method of bifurcation buckling in literature, this article presents to introduce stochastic defects in ideal artifacts to transform eigenvalue buckling problems into geometrically nonlinear static deformation problems. The simulation on stability problems of columns and buckling of elastic foundation beam indicates that stochastic defect method can calculate both the first mode and higher modes of buckling. In this article, the first and the second buckling mode by stochastic defect method are presented for stability problems of columns. Furthermore, this article points out limitations of introducing defect by influencing factors in some literature and indicates the applicability of stochastic defect method on nonlinear buckling problems by calculating the buckling of rectangular delamination bridged by fibers. Meanwhile, by contrasting results of different scales defect, this article provides some suggestions to implement this method.

Key words: buckling, stochastic defect, finite element method, numerical simulation