CDS&E: Corrosion-induced Damage and Fracture: Pushing Micro-Scale Simulations to the Macro-Scale, in Both Space and Time

在生活的各个方面，腐蚀可能是结构和系统破裂和灾难性失效的前兆。了解腐蚀引起的材料性能变化是如何在小范围内导致断裂和损坏的，可以为更广泛的经济领域每年减少数百亿美元的成本。它还可以防止人为系统的灾难性故障造成的生命损失。从该项目中获得的知识将提高从交通运输到基础设施和医疗等广泛材料系统的安全性和复原力。该项目将培训研究生、本科生、中学生和高中生，并将制作一本关于材料退化和失效建模的手册。从研究中获得的知识将通过开源计算平台、模拟应用程序和组织会议专题讨论会广泛传播。该奖项将创造一种新型的高效非局部求解器，允许前所未有地访问多个空间和时间尺度，以模拟由溶解型现象引起的材料降解和失效，从而将目前可达到的计算模型的空间和时间尺度从微米和分钟推进到米和年。该项目创建了高效的求解器来执行大规模并行、大规模的模拟，能够将这些问题中相关的不同空间和时间尺度联系起来。具体而言，扩散、变形、腐蚀损伤和断裂等动力学模型的边界自适应谱方法将利用非局部算子的卷积结构，有效地求解数十亿自由度的瞬态问题。研究人员还将对新方法进行数值分析和误差估计。周期动力学的耦合力学-化学光谱方法将能够在结构水平上模拟材料的腐蚀引起的失效，同时考虑微尺度效应，从而跨越以前无法达到的长度尺度和时间尺度。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

Corrosion can be a precursor to fracture and catastrophic failure in structures and systems in all aspects of life. Understanding how corrosion-induced changes in material properties at the small scale lead to fracture and damage at a much larger scale can reduce costs to the broader economy by tens of billions of dollars each year. It can also prevent loss of life from catastrophic failure of man-made systems. The knowledge gained from this project will improve safety and resilience in a broad array of material systems—ranging from transportation to infrastructure and medicine. The project will train graduate, undergraduate, and middle and high school students and will produce a handbook on modeling of material degradation and failure. The knowledge gained from the research will be broadly disseminated through an open-source computational platform, a simulation app, and by organizing conference symposia.This award will create a new class of highly efficient nonlocal solvers allowing unprecedented access to multiple spatial and temporal scales in simulation of material degradation and failure caused by dissolution-type phenomena-- pushing the currently reachable space and time-scales of computational models from micrometers and minutes, to meters and years. This project creates efficient solvers to perform massively-parallel, large-scale simulations capable of linking the disparate spatial and temporal scales relevant in these problems. Specifically, novel boundary-adapted spectral methods for peridynamic models of diffusion, deformation, corrosion damage and fracture will exploit the convolution structure of nonlocal operators to solve transient problems with billions of degrees of freedom efficiently. The researchers will also perform numerical analysis and error estimation for the new methods. A coupled mechano-chemical spectral method for peridynamics will enable simulation of corrosion-induced failure in materials at the structure-level while accounting for micro-scale effects, thereby spanning length-scales and time scales previously unreachable.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.