论文标题
通过机器学习,加速高素质连续尺度脆性断裂模拟
Accelerating High-Strain Continuum-Scale Brittle Fracture Simulations with Machine Learning
论文作者
论文摘要
在动态载荷条件下脆性材料的失败是微裂纹的繁殖和结合的结果。在连续级别上模拟这种机制在计算上是昂贵的,或者在某些情况下是棘手的。计算成本是由于需要进行高度解决的计算网格来捕获复杂的裂纹生长行为,例如分支,转弯等。通常是连续尺度的模型,这些模型可以说明脆弱的损害进化以某种方式匀浆,从而降低了整体计算成本,这也可以降低整体计算,但也可以忽略了子流域裂纹生长行为的关键物理学,以确保准确的精确效率。我们已经开发了一种使用机器学习的方法,该方法克服了当前无法在宏观尺度上代表微型物理的能力。我们的方法利用了高保真模型的损坏和压力数据,该模型明确解决了微裂纹的行为,以构建廉价的机器学习模拟器,该模拟器与高保真模型相反,该模型需要数小时。一旦训练,机器学习模拟器将用于预测裂纹长度统计的演变。然后,通过这些裂纹统计数据告知连续尺度的组成型模型,从而使工作流程加快了四个数量级。机器学习模型和连续尺度模型均可分别针对高保真模型和实验数据进行验证,这表现出了极好的一致性。有两个关键发现。首先是我们可以降低问题的维度,并确定机器学习模拟器只需要最长的裂纹的长度,并且是最大的应力成分之一来捕获必要的物理。另一个令人信服的发现是,可以在一个实验环境中训练模拟器并成功地转移以预测不同环境中的行为。
Failure in brittle materials under dynamic loading conditions is a result of the propagation and coalescence of microcracks. Simulating this mechanism at the continuum level is computationally expensive or, in some cases, intractable. The computational cost is due to the need for highly resolved computational meshes required to capture complex crack growth behavior, such as branching, turning, etc. Typically, continuum-scale models that account for brittle damage evolution homogenize the crack network in some way, which reduces the overall computational cost, but can also neglect key physics of the subgrid crack growth behavior, sacrificing accuracy for efficiency. We have developed an approach using machine learning that overcomes the current inability to represent micro-scale physics at the macro-scale. Our approach leverages damage and stress data from a high-fidelity model that explicitly resolves microcrack behavior to build an inexpensive machine learning emulator, which runs in seconds as opposed to the high-fidelity model, which takes hours. Once trained, the machine learning emulator is used to predict the evolution of crack length statistics. A continuum-scale constitutive model is then informed with these crack statistics, speeding up the workflow by four orders of magnitude. Both the machine learning model and the continuum-scale model are validated against a high-fidelity model and experimental data, respectively, showing excellent agreement. There are two key findings. The first is that we can reduce the dimensionality of the problem, establishing that the machine learning emulator only needs the length of the longest crack and one of the maximum stress components to capture the necessary physics. Another compelling finding is that the emulator can be trained in one experimental setting and transferred successfully to predict behavior in a different setting.