Application of Runge-Kutta-Merson algorithm for creep damage analysis

A Runge-Kutta-Merson (RKM) numerical integration algorithm for creep damage analysis is presented in this paper. The continuum damage constitutive model was also implemented. In addition, the criteria to select integration time interval were also proposed. The present method is suitable for the prediction of creep crack initiation and growth in solids and the corresponding residual life using the continuum damage approach. A finite element method (FEM) program was developed and verified. The accuracy and efficiency of the proposed algorithm are demonstrated by the solution of a thick cylinder problem subjected to an internal pressure.