Abstract A new algorithm for dynamic elastoplastic analysis is put forward on the basis of the meshless natural element method. The natural element method (NEM) is a recently developed meshless method and is essentially the Galerkin method based on natural neighbour interpolation. Compared with the meshless methods based on the moving least squares approximation, The NEM possesses notable advantages in the enforcement of essential boundary conditions. The space domain is discretized with the NEM and the discretized governing equations for dynamic elastoplastic analysis are derived using weighted residual technique. Then the predictor-corrector form of the Newmark algorithm is employed to solve the discretized governing equations. At last, numerical examples are presented to demonstrate the effectiveness and accuracy of the proposed method for dynamic elastoplastic analysis.
2011, Vol. 32 
