复合材料断裂的弹簧网络模型模拟
Fracture of Composites: Simulation by a Spring Network Model
摘要：
复合材料通常比其组成部分更坚固。我们证明了这一点，通过一个弹簧网络模型上的正方形格子。两种不同类型的位置（A和B）随机分布在晶格上，代表两种不同的成分。有三种类型的弹簧连接它们（A-A，B-B和A-B）。我们为每种类型的弹簧指定两个弹簧参数。它们是弹性常数和断裂阈值。在这里，我们表明，中间组合物可能需要更高的能量，以诱导第一个样品跨越打破比纯A或纯B。因此，当一种组分的浓度从0变化到100%时，断裂能经历最大值。峰值的位置和高度取决于弹簧参数。此外，弹簧参数的某些组合可以产生复合材料，其在特定的应变极限下不会破裂。因此，可以定义裂缝“渗流阈值”。
英文摘要：
Composite materials are often stronger than their constituents. We demonstrate this through a spring network model on a square lattice. Two different types of sites (A and B) are distributed randomly on the lattice, representing two different constituents. There are springs of three types connecting them (A-A, B-B and A-B). We assign two spring parameters for each type of spring. these are a spring constant and a breaking threshold. Here we show that intermediate compositions may require higher energy to induce the first sample-spanning break than either pure A or pure B. So the breaking energy goes through a maximum as the concentration of one component varies from 0 to 100%. The position and height of the peak depend on the spring parameters. Moreover, certain combinations of spring parameters can produce composites, which do not break upto a specified strain limit. Thus a fracture 'percolation threshold' may be defined.
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