An analytical model is presented to study metaelastic dynamic behaviors of rigid sphere-reinforced elastic random composites. The model is based on the concept that the deviation of the displacement field of embedded rigid spheres from the displacement field of the composite is responsible for novel metaelastic dynamic behaviors of stiff sphere-reinforced composites. Compared to the existing models, the present model offers a simple general method to analyze various 3D metaelastic dynamic problems of rigid sphere-reinforced random composites, and its validity and efficiency are demonstrated by comparing the predicted results with known experimental or numerical data on several typical steel/glass/lead-polymer composites. Several basic dynamic problems of rigid sphere-reinforced composite beams and rods are investigated, and some metaelastic dynamic phenomena (such as vibration isolation, localized buckling, and natural frequency within the bandgap caused by an attached concentrated mass) of stiff sphere-reinforced composites are demonstrated.

提出了一个分析模型来研究刚性球体增强的弹性无规复合材料的亚弹性动力学行为。该模型基于以下概念：嵌入的刚性球体的位移场与复合材料的位移场之间的偏差是刚性球体增强复合材料的新型亚弹性动力学行为的原因。与现有模型相比，本模型提供了一种简单的通用方法来分析刚性球形增强随机复合材料的各种3D亚弹性动力学问题，并且通过将预测结果与几种典型的已知实验或数值数据进行比较，证明了其有效性和效率。钢/玻璃/铅聚合物复合材料。研究了刚性球增强复合材料梁和杆的几个基本动力问题，