Phase field models have a very good capability in predicting the crack path, but most of them represent the dependence of the regularization parameter on the load-carrying capacity of structures. In this paper, a phase field model is coupled with isotropic damage model aiming to resolve this issue in the fracture simulations of quasi-brittle materials. Damage variables are calculated by a continuum damage mechanics model based on accurate energy reduction and then regularized by the phase field model. Since the continuum damage mechanics model is combined with phase field method, tensile strength of material is employed for calculating the damage field and phase field. Our approach can predict the accurate load-carrying capacity independent of the regularization parameter while maintaining the precision of the crack path prediction. Three benchmark problems are solved to demonstrate good performance of our approach, and results are compared with those by the damage mechanics model or by the standard phase field model.

中文翻译：

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预测准脆性材料断裂行为的修正相场模型

相场模型在预测裂纹路径方面具有很好的能力，但大多代表了正则化参数对结构承载能力的依赖性。本文将相场模型与各向同性损伤模型相结合，旨在解决准脆性材料断裂模拟中的这一问题。损伤变量通过基于精确能量减少的连续损伤力学模型计算，然后通过相场模型进行正则化。由于连续介质损伤力学模型与相场法相结合，因此采用材料的抗拉强度来计算损伤场和相场。我们的方法可以独立于正则化参数预测准确的承载能力，同时保持裂纹路径预测的精度。