发表机构
Harvard University（哈佛大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
针对经典弹性位错理论在断层模拟中的奇异性与薄层局限，提出基于Cortez blob磨光的弹性位错理论，实现无奇异应力计算并解耦断层宽度与网格尺度，支持复杂断层系统的高效边界元建模。
AI 中文摘要
经典弹性位错理论（CEDT）在应用于断层问题时面临两个挑战：1）虚构的断层上应力无法通过普通积分定义；2）无限薄断层带的几何不真实性。我们证明，这两个问题都可以通过基于Cortez blob（Cortez, 2001）磨光位移不连续格林函数的磨光弹性位错理论（MEDT）来解决，该理论表示跨越有限尺度ε的空间分布断层带的变形，并在所有位置产生无奇异的位移和应力。利用人工智能对任意平面三角形单元上的磨光源解进行解析积分，所得的闭式解允许计算几何复杂断层系统上的非奇异应力。此外，我们证明了断层带宽度尺度ε与网格长度尺度h的解耦，这是针对正则化粘性流Stokeslets（Ferranti和Cortez, 2024）所建立结果的弹性类比。我们使用这些磨光核来演示数值稳定的配置边界元模型，包括空间扩展断层带、材料性质变化和非平面地形。
英文摘要
Classical elastic dislocation theory (CEDT) has two challenges when applied to faulting problems: 1) fictitious on-fault stresses not defined by ordinary integration and 2) the geometric unreality of infinitely thin fault zones. We show that both can be resolved by a mollified elastic dislocation theory (MEDT) built on Cortez blob (Cortez, 2001) mollified displacement discontinuity Green's functions, which represent deformation across spatially distributed fault zones of finite scale epsilon and produce singularity-free displacements and stresses everywhere. Analytical integration of the mollified source solution over arbitrary planar triangular elements is done with AI, and the resulting closed-form solutions allow for the calculation of non-singular stresses across geometrically complex fault systems. Further, we demonstrate the decoupling of the fault-zone width scale epsilon from the mesh length scale h, the elasticity analog of a result established for regularized viscous flow Stokeslets (Ferranti and Cortez, 2024). We use these mollified kernels to demonstrate numerically stable collocation boundary element models including spatially extended fault zones, material property variations and non-planar topography.
Comments29 pages, 10 figures
