Investigation of Some Recently Proposed Explicit Time Integration Schemes for Nonlinear Problems

Abstract

Recently, a number of explicit time integration schemes have been proposed. They have been shown to perform better for mostly linear problems. However, there is no work to compare the performance of various explicit time integration schemes for nonlinear problems. Hence, the objective of the present work is to fill this gap. In the paper, a number of recently proposed explicit time integration schemes are analyzed for their performance when applied to nonlinear problems. In particular, a multiple degree-of-freedom nonlinear problem and a single degree-of-freedom nonlinear adhesive contact problem are solved using different schemes for different time steps. The error in energy for different time steps for each scheme is compared. The computational cost associated with each scheme is also compared. It is shown that still the classical central difference scheme performs equally well as compared to all the recently proposed explicit schemes and takes least amount of computational time.