連続体のモデル化に用いる粒子集団が持つ物理的性質の数理的解析(流体工学,流体機械)

概要

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A theoretical approach to the physical behaviors of a continuous media which is modeled by distinct particles has been constructed. The present study has focused on the particle system which expresses the mechanical behaviors of the continuous media by means of the computational mechanical simulation. The physical 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, it is shown that the behavior of the particles has the relation to that of the topological defects. It is found that the time-temperature superposition principle is derived from the particle system. Moreover, the energy conservation law of the particle system is formulated.
社団法人日本機械学会の論文
2009-09-25