Application of the boundary-domain element method to the pre/post-buckling problem of von Krmn plates
Based on the BEM formulations for the finite deflection problem of von-Krmn-type plates, this paper presents an incremental boundary-domain element method for the pre/post-buckling problem of thin elastic plates. As the governing equations involve the coupled in-plane and out-of-plane deformations as the nonlinear terms, the boundary integral equations are formulated in terms of the increment by using the fundamental solutions for the linear parts of the differential operators. Some of the innovations are made in order to improve the accuracy and accelerate the convergence of the solution procedure. The load-incrementation method and also the arc-length-incrementation method are employed for each incremental step. Numerical analysis is carried out and the results are compared with the available analytical solutions to demonstrate the effectiveness of the proposed method.
boundary-domain element method post-buckling problem elastic plate integral equation formulation geometrically nonlinear problem incremental approach stability