In this work, we develop a mixed-mode phase-field fracture model employing a parallel-adaptive quasi-monolithic framework. In nature, failure of rocks and rock-like materials is usually accompanied by the propagation of mixed-mode fractures. To address this aspect, some recent studies have incorporated mixed-mode fracture propagation criteria to classical phase-field fracture models, and new energy splitting methods were proposed to split the total crack driving energy into mode-I and mode-II parts. As extension in this work, a splitting method for masonry-like materials is modified and incorporated into the mixed-mode phase-field fracture model. A robust, accurate and efficient parallel-adaptive quasi-monolithic framework serves as basis for the implementation of our new model. Three numerical tests are carried out, and the results of the new model are compared to those of existing models, demonstrating the numerical robustness and physical soundness of the new model. In total, six models are computationally analyzed and compared.

在这项工作中，我们开发了一种采用并行自适应准整体框架的混合模式相场断裂模型。在自然界中，岩石和类岩石材料的破坏通常伴随着混合模式裂缝的传播。为了解决这个问题，最近的一些研究将混合模式裂纹扩展标准纳入经典相场断裂模型，并提出了新的能量分裂方法将总裂纹驱动能量分裂为模式 I 和模式 II 部分。作为这项工作的扩展，对类砌体材料的分裂方法进行了修改，并将其纳入混合模式相场断裂模型。一个健壮、准确和高效的并行自适应准单体框架是我们新模型实施的基础。进行了三个数值试验，并将新模型的结果与现有模型的结果进行比较，证明了新模型的数值鲁棒性和物理可靠性。总共对六个模型进行了计算分析和比较。