This study evaluates four widely used fracture simulation methods, comparing their computational expenses and implementation complexities within the Finite Element (FE) framework when employed on heterogeneous solids. Fracture methods considered encompass the intrinsic Cohesive Zone Model (CZM) using zero-thickness cohesive interface elements (CIEs), the Standard Phase-Field Fracture (SPFM) approach, the Cohesive Phase-Field fracture (CPFM) approach, and an innovative hybrid model. The hybrid approach combines the CPFM fracture method with the CZM, specifically applying the CZM within the interface zone. A significant finding from this investigation is that the CPFM method is in agreement with the hybrid model when the interface zone thickness is not excessively small. This implies that the CPFM fracture methodology may serve as a unified fracture approach for multiphase materials, provided the interface zone's thickness is comparable to that of the other phases. In addition, this research provides valuable insights that can advance efforts to fine-tune material microstructures. An investigation of the influence of the interface material properties, morphological features and spatial arrangement of inclusions showes a pronounced effect of these parameters on the fracture toughness of the material.

翻译：本研究评估了四种广泛应用的断裂模拟方法，在有限元框架下比较了它们在异质固体材料中的计算成本与实现复杂度。考虑的断裂方法包括：采用零厚度内聚界面单元的内聚区模型、标准相场断裂方法、内聚相场断裂方法以及一种创新的混合模型。该混合模型将CPFM断裂方法与CZM相结合，特别在界面区域应用CZM。本研究的一个重要发现是：当界面区域厚度不过小时，CPFM方法与混合模型的计算结果具有一致性。这表明只要界面区域厚度与其他相区厚度相当，CPFM断裂方法可作为多相材料的统一断裂模拟方法。此外，本研究为优化材料微观结构提供了重要见解。通过对界面材料属性、夹杂物形态特征及空间排布影响的研究，发现这些参数对材料断裂韧性具有显著影响。