동적 극한해석을 위한 적응적 시간간격기법

Abstract

In this paper, a new adaptive time-stepping procedure for dynamic limit analysis is suggested to calculate the optimal time step size. Three posteriori error estimators are used for control of time step size. The local velocity error estimator proposed by Zeng, Wiberg and Xie is applied for the assessment of the error by discretization of time domain. In dynamic limit analysis, it is assumed that the material is perfectly plastic in time interval. Due to this assumption, two types of error estimator are newly proposed for evaluation of the error of strain energy increment. Numerical simulation has been carried out in order to verification of proposed adaptive time-stepping procedure. The result with relatively small and fixed size of time step is assumed to be exact. The result from adaptive time stepping is compared with the result using same number of time step. The analysis result demonstrates the efficiency of the adaptive time-stepping procedure suggested in this paper.