本文主要探討neo-Hookean 圓球孔洞運動方程，分析橡膠材料中微孔的動態擴張。neo-Hookean 圓球孔洞在受到呆荷重與週期荷重的影響下震動型態並非固定，隨模型所承受之初始條件改變而改變，反映出其非線性材料之特性，且微孔圓球之非線性特性又較為明顯。在相同孔洞大小下，施加不同頻率的外力，其材料孔洞會有不穩定擴張，此力學行為可能造成材料模型局部分子結構破壞導致整體材料衰減。本文亦研究週期外力與呆荷重組合對圓球模型的影響，並討論圓球微孔因為外力而造成破壞之條件。 關鍵字: 橡膠材料、材料強度衰減、孔洞擴張 Abstract This thesis studies the equation of motion of a rubber ball and the dynamical behavior of a micro-void in the ball. The vibration type of rubber ball is not fixed, it may be changed by assigning different initial conditions. This phenomenon reveals the character of non-linear material. The nonlinear effect on the ball with a micro-void is more obvious. The dynamical behavior of the micro-void will change when loadings with different frequencies or speeds are applied to the surface of the rubber ball. We will focus on the unstable growth shall cause strength degradation to the rubbers. Keywords: Rubber, strength degradation, void growth
