CAREER: Using Physics-Based Machine Learning to Reconcile the Crack Tip with the Plastic Zone during Fracture of Metals

当裂缝或其他缺陷增长时，金属断裂就会发生，导致建筑物和飞机等金属结构的崩溃，据估计，这一损失占美国国内生产总值的4%。目前用于预测断裂的理论和模型都是基于对断裂过程的不完整描述，这导致了对裂纹扩展的不准确预测，这给工程结构和新一代结构金属的设计带来了困难。该学院早期职业发展(Career)奖支持研究开发更好的材料模型，用于设计与能源、国防、航空航天和交通应用相关的防断裂工程结构，从而支持美国经济和国防。在该项目下开发的机器学习方法将广泛适用于许多科学和工程领域。通过与当地和国家科学教学组织的合作，该项目的研究成果将用于为高中科学课堂制定为期数天的教学计划，学生在课堂上使用计算机模拟学习金属断裂。这份教案将在全国范围内提供给科学教师。主流的金属断裂理论要么关注位错成核控制脆性断裂倾向的裂纹尖端，要么关注裂纹尖端塑性耗散控制断裂韧性的塑性区。然而，最近的工作表明，裂纹尖端和塑性区之间存在重要的相互作用，影响各种断裂行为，如位错增殖和疲劳裂纹的扩展。该项目旨在开发一个三维离散位错动力学模型，通过在一个统一的模型中捕获所有相关的位错和键断裂过程来同时考虑裂纹尖端和塑性区。为了实现这一目标，将开发一种基于物理信息的基于机器学习的图像求解器，该图像求解器利用耦合到有限元方法的新的卷积结构。原子模拟将用于量化裂纹尖端附近的位错形核速率、位错吸附和/或发射导致的晶界弱化以及晶界解聚。裂缝模型的预测将与最先进的裂缝实验进行比较。从这项研究中获得的见解将直接为工程设计、脆性预测和合金设计中使用的断裂模型提供参考。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

Metal fracture occurs when cracks or other flaws grow, leading to failure of metallic structures such as buildings and aircraft that has been estimated to cost 4 percent of US gross domestic product. Current theories and models used to predict fracture are based on an incomplete picture of the fracture process, which lead to inaccurate predictions of crack growth, making it difficult to design engineering structures and next-generation structural metals. This Faculty Early Career Development (CAREER) award supports research to develop better material models used in the design of fracture-resistant engineering structures relevant to energy, defense, aerospace, and transportation applications, thereby supporting the U.S. economy and defense. The machine learning methods developed under this project will be broadly applicable to many fields of science and engineering. Through a collaboration with local and national science teaching organizations, the research findings from this project will be used to develop a multi-day lesson-plan for the high school science classroom wherein students learn about fracture of metals using computer simulations. This lesson-plan will be made available to science teachers nationwide. Prevailing theories of metal fracture focus on either the crack tip where dislocation nucleation governs the propensity for brittle fracture, or the plastic zone surrounding the crack tip where plastic dissipation governs the fracture toughness. Recent work has shown, however, that there are important interplays between the crack tip and plastic zone which affect various fracture behaviors such as dislocation multiplication and growth of fatigue cracks. This project is to develop a three-dimensional discrete dislocation dynamics model which simultaneously accounts for the crack tip and the plastic zone by capturing all relevant dislocation and bond-breaking processes in one unified model. To achieve this goal, a physics-informed machine learning-based image solver will be developed which utilizes a new convolutional architecture that couples to the finite element method. Atomistic simulations will be used to quantify the dislocation nucleation rate near the crack tip, grain boundary weakening due to dislocation adsorption and/or emission, and grain boundary decohesion. Predictions from the fracture model will be compared with state-of-the-art fracture experiments. Insights gained from this research will directly inform fracture models used in engineering design, prediction of embrittlement, and alloy design.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.