论文标题
非本地接口问题的基于能量的耦合方法
An energy-based coupling approach to nonlocal interface problems
论文作者
论文摘要
非局部模型提供了从断裂力学到复杂地下流动的物理现象的准确表示，其中传统的部分微分方程无法捕获微观和中尺度上的长距离力引起的效果。但是，由于缺乏支持数值发展所需的严格的非本地界面理论，因此阻碍了非局部模型在涉及涉及界面（例如多材料模拟和流体结构相互作用）等问题的问题上的应用。在本文中，我们使用基于能量的方法来开发一种数学上严格的非局部界面理论，该理论可提供经典完美界面PDE公式的物理一致扩展。数值示例验证了提出的框架并证明了我们理论的范围。
Nonlocal models provide accurate representations of physical phenomena ranging from fracture mechanics to complex subsurface flows, where traditional partial differential equations fail to capture effects caused by long-range forces at the microscale and mesoscale. However, the application of nonlocal models to problems involving interfaces such as multimaterial simulations and fluid-structure interaction, is hampered by the lack of a rigorous nonlocal interface theory needed to support numerical developments. In this paper, we use an energy-based approach to develop a mathematically rigorous nonlocal interface theory which provides a physically consistent extension of the classical perfect interface PDE formulation. Numerical examples validate the proposed framework and demonstrate the scope of our theory.
