Pub Date : 2025-01-02DOI: 10.1016/j.simpa.2024.100734
Denis Khimin, Marc Christian Steinbach, Thomas Wick
This codebase is developed to address optimal control problems in phase-field fracture, aiming to achieve a desired fracture pattern in brittle materials through the application of external forces. Built alongside our recent work (Khimin et al., 2022), this framework provides an efficient and precise approach for simulating space–time phase-field optimal control problems. In this setup, the fracture is controlled via Neumann boundary conditions, with the cost functional designed to minimize the difference between the actual and desired fracture states. The implementation relies on the open-source libraries DOpElib (Goll et al., 2017) and deal.II (Arndt et al. [1], [2])
这个代码库是为了解决相场断裂的最优控制问题而开发的，旨在通过施加外力来实现脆性材料的理想断裂模式。该框架与我们最近的工作（Khimin et al., 2022）一起构建，为模拟时空相场最优控制问题提供了一种有效而精确的方法。在这种设置中，裂缝是通过Neumann边界条件控制的，成本函数的设计是为了最小化实际和期望的裂缝状态之间的差异。实现依赖于开源库DOpElib （Goll et al., 2017）和deal。II （Arndt et al. [1], [2]）
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