Numerical Method for Elastic Deformation Using a Spring-Block System Based on Finite Difference
Takashi Yoshino · Journal of Applied Mechanics · 1999
We propose a new simulation method for elastic deformation based on a finite difference. The most remarkable feature of this method is to combine the finite difference of the fundamental equation of elastic body with a spring-block system. We derived a procedure, called continuous cellular automaton, for calculation of deformation of spring-block system as an approximation of deformation of continuous elastic body. Using the method, we obtain final shapes of the deformed body under some conditions. The results show qualitatively good agreement with expected shapes. Because local fracturing can be corresponded to breaking of springs, this method may have a potentiality for describing fracturing.