In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid-structure interaction. The key motivation is to utilize phase-field modelling to compute the fracture path. A mesh reconstruction allows a switch from interface-capturing to interface-tracking in which the coupling conditions can be realized in a highly accurate fashion. Consequently, inside the fracture, a Stokes flow can be modelled that is coupled to the surrounding elastic medium. A fully coupled approach is obtained by iterating between the phase-field and the fluid-structure interaction model. The resulting algorithm is demonstrated for several numerical examples of quasi-static brittle fractures. We consider both stationary and quasi-stationary problems. In the latter, the dynamics arise through an incrementally-increasing given pressure.

翻译：本文工作将高精度相场裂缝重构方法与流固耦合问题迭代耦合。核心动机在于利用相场建模计算裂缝扩展路径。通过网格重构实现从界面捕捉到界面追踪的转换，从而以高精度方式实现耦合条件。由此可在裂缝内部建立与周围弹性介质耦合的斯托克斯流动模型。通过相场模型与流固耦合模型之间的迭代，获得完全耦合方法。针对准静态脆性断裂的多个数值算例验证了该算法的有效性。本研究同时考虑稳态与准稳态问题，后者中的动力学行为通过逐步递增的给定压力驱动产生。