2010 Volume 76 Issue 772 Pages 2050-2057
A theoretical approach to the rheological properties of a particle model which is widely applied as a numerical method to analyze the behaviors of a continuous media has been constructed. The present study treats a particle system which describes the mechanical behaviors of the continuous media by means of the computational mechanical simulation. The behaviors of the particles in the system have been investigated analytically in order to conduct the numerical analysis effectively. A basic equation which describes the motion of the particle is derived from the particle system. Since the basic equation is the nonlinear equation which contains the thermal effect, it is analyzed theoretically by using some mathematical techniques. As a result, the time dependent behaviors of the stress and strain which are derived from the particle system are shown analytically. Especially, it is found that the viscoelastic behaviors emerge from the interactive behaviors of the particles under the constant temperature.