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

腐蚀可能是生命各个方面的结构和系统中断裂和灾难性故障的前兆。了解小规模腐蚀引起的材料性能变化如何导致更大规模的断裂和损坏，每年可以为更广泛的经济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运输到基础设施和医药等广泛材料系统的安全性和弹性。该项目将培训研究生、本科生、初中生和高中生，并将编写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，该奖项将创建一类新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，以模拟溶解型现象引起的材料降解和失效-推动当前可达到的空间和时间-计算模型的尺度从微米和分钟到米和年。 该项目创建了高效的求解器来执行并行的大规模模拟，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，新的边界适应谱方法的扩散，变形，腐蚀损伤和断裂的周向模型将利用非局部算子的卷积结构，以有效地解决瞬态问题与数十亿度的自由。研究人员还将对新方法进行数值分析和误差估计。一个耦合的机械化学光谱方法的peridendics将使模拟腐蚀引起的材料失效在结构层面上，同时占微观尺度的影响，从而跨越长度尺度和时间尺度以前unreached.This奖项反映了NSF的法定使命，并已被认为是值得通过评估使用基金会的智力价值和更广泛的影响审查标准的支持。

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.