Methods For Providing A Bonded-Particle Model In Computer Aided Engineering System

Systems and methods of providing bonded-particle model amongst a plurality of discrete particles representing a physical domain made of brittle material in a time-marching simulation to obtain numerically simulated continuum physical phenomena are disclosed. A physical domain is represented by a plurality of discrete particles. A domain of influence is assigned to each discrete particle and a bonded-particle model is created for the discrete particles. Respective bonds are established to connect each discrete particle to all other discrete particles within its domain of influence. The bonded-particle model further defines a rule for breakage of a bond. Continuum physical phenomena of the physical domain are numerically represented through a set of formula such that a time-marching simulation of the physical domain can be conducted. Physical properties include material properties and fracture energy release rate. Finally, the bonded-particle model allows size and orientation changes of each discrete particle.