论文标题
裂纹生长的统计机械模型
Statistical mechanical model for crack growth
论文作者
论文摘要
描述裂纹生长的分析关系对于建模实验和建立对断裂的理论理解至关重要。在为裂纹构建理想化的模型系统并应用了统计热力学原理后，就可以制定热激活裂纹生长的速率作为负载的函数，但结果在分析上是可靠的。在这里，渐近正确的理论用于从基本理论公式中获得裂纹生长速率的分析近似。将这些裂纹生长速率与文献中存在的裂纹生长关系进行了比较，并在蒙特卡洛计算和实验方面得到了验证。这种方法的成功是鼓励未来建模的努力，这些努力可能考虑了更复杂的断裂机制，例如不均匀性或反应性环境。
Analytic relations that describe crack growth are vital for modeling experiments and building a theoretical understanding of fracture. Upon constructing an idealized model system for the crack and applying the principles of statistical thermodynamics, it is possible to formulate the rate of thermally activated crack growth as a function of load, but the result is analytically intractable. Here, an asymptotically correct theory is used to obtain analytic approximations of the crack growth rate from the fundamental theoretical formulation. These crack growth rate relations are compared to those that exist in the literature and are validated with respect to Monte Carlo calculations and experiments. The success of this approach is encouraging for future modeling endeavors that might consider more complicated fracture mechanisms, such as inhomogeneity or a reactive environment.
