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：本文提出了一种将高精度相场断裂重构方法与流固耦合问题迭代耦合的研究框架。核心动机在于利用相场模型计算断裂路径。通过网格重构技术，实现从界面捕捉到界面追踪的转换，从而能够以高精度方式实现耦合条件。基于此，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求解，最终获得完全耦合的计算方法。该算法在多个准静态脆性断裂数值算例中得到验证，涵盖定常问题与准定常问题。对于准定常情形，动力学过程通过压力逐步递增的方式驱动。