论文标题
在循环强迫下的无定形固体中Wöhler图的缩放理论
Scaling Theory for Wöhler plots in amorphous solids under cyclic forcing
论文作者
论文摘要
在机械工程中，wöhler图有助于在材料破裂之前的平均负载周期数量，这是每个循环中最大应力的函数。尽管这种图在工程中很普遍已有150多年的历史，但他们的理论理解缺乏。最近，提供了在循环弯曲背景下的Wöhler图的缩放理论[1]。在这里，我们进一步详细介绍了循环弯曲，并将注意事项扩展到无定形材料条上的环状拉伸载荷；缩放理论适用于两种类型的循环载荷。在原子模拟的基础上，我们得出的结论是，关注的关注数量是累积损害和每个周期的平均损害。这些数量对加载的依赖性决定了循环数量失败的统计数据。最后，我们考虑了循环数量失败的概率分布函数，并证明了缩放理论允许从测量值和另一个值的强迫幅度的一个值中预测这些分布。
In mechanical engineering Wöhler plots serve to measure the average number of load cycles before materials break, as a function of the maximal stress in each cycle. Although such plots are prevalent in engineering for more than 150 years, their theoretical understanding is lacking. Recently a scaling theory of Wöhler plots in the context of cyclic bending was offered [1]. Here we elaborate further on cyclic bending and extend the considerations to cyclic tensile loads on an amorphous strip of material; the scaling theory applies to both types of cyclic loading equally well. On the basis of atomistic simulations we conclude that the crucial quantities to focus on are the accumulated damage and the average damage per cycle. The dependence of these quantities on the loading determines the statistics of the number of cycles to failure. Finally we consider the probability distribution functions of the number of cycles to failure and demonstrate that the scaling theory allows prediction of these distributions at one value of the forcing amplitude from measurements and another value.
