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Date of Publication:2022-10-06

Journal:哈尔滨工程大学学报

Issue:3

Page Number:322-326

ISSN No.:1006-7043

Abstract:The disadvantage of the explicit finite element method is low accuracy and sensitive to the time step size. In this paper, a posteriori error evaluation method was introduced for the explicit Newmark scheme, giving the source and estimation method of the Newmark temporal discretization error. Then, a numerical example of saturated sand liquefaction in earthquake was conducted to evaluate the influence of time step size on the calculation result. The results showed that the time step size has effects on the time histories of node displacements and element pore's water pressures. Moreover, the relation between the computation cost and the time step size is a hyperbolic curve. The relative error is mainly generated in the area with large deformation and the period with rapid dynamic response. The mean relative error in the entire area is larger in the time range with violent dynamic response. Through the es?timated discrete error, a proper time step size can be determined to meet the desired accuracy. For automatic time step adjustment, the error estimation can provide a criterion to control the time step size.

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