P. Vannucci et al., AN ASYMPTOTIC-NUMERICAL METHOD TO COMPUTE BIFURCATING BRANCHES, International journal for numerical methods in engineering, 41(8), 1998, pp. 1365-1389
In this paper a new method to compute the bifurcating branches for an
elastic structure is presented. The method is based on the asymptotic-
numerical method (ANM), hat is a perturbation technique to solve probl
ems in non-linear mechanics. Herein, we present a computing strategy t
o find the bifurcation points and the post-buckling branches in the fr
amework of the ANM. Some examples are also given, which prove the effe
ctiveness of the proposed method. A discussion of the results and of t
he open problems ends the paper. (C) 1998 John Wiley & Sons, Ltd.