论文标题

微型机械学的相位场模型,用于单方面约束的脆性断裂

A micromechanics-informed phase field model for brittle fracture accounting for the unilateral constraint

论文作者

Liu, Yangyuanchen, Cheng, Cheng, Ziaei-Rad, Vahid, Shen, Yongxing

论文摘要

我们提出了一个新的方向依赖模型,以用于裂缝和持续损伤力学模型中的单侧约束涉及的单侧约束。该相场模型的构建是通过微型机械建模通过均质化理论得出的,其中代表体积元素(RVE)在中心具有平面裂纹。提出的模型与RVE的响应非常匹配,包括无摩擦的自我接触条件。这种均质化方法允许通过从破裂的微观结构获得的张力压缩分裂来识别方向依赖性相位场模型。提出的模型的一个重要特征是,与大多数其他模型不同,材料降解始终在没有人工假设或无物理解释的临时参数的情况下确定,因此会产生更现实的建模。通过标准测试,例如单轴载荷,三点弯曲,简单的剪切和透裂测试,提出的模型可以预测合理的裂纹路径。此外,通过RVE响应作为基准测试,提出的模型在剪切负载下产生了准确的应力 - 应变曲线,比大多数现有模型更准确。

We propose a new direction-dependent model for the unilateral constraint involved in the phase field approach to fracture and also in the continuous damage mechanics models. The construction of this phase field model is informed by micromechanical modeling through the homogenization theory, where the representative volume element (RVE) has a planar crack in the center. The proposed model is made closely match the response of the RVE, including the frictionless self-contact condition. This homogenization approach allows to identify a direction-dependent phase field model with the tension-compression split obtained from cracked microstructures. One important feature of the proposed model is that unlike most other models, the material degradation is consistently determined without artificial assumptions or ad hoc parameters with no physical interpretation, thus, a more realistic modeling is resulted. With standard tests such as uniaxial loadings, three-point bending, simple shear, and through-crack tests, the proposed model predicts reasonable crack paths. Moreover, with the RVE response as a benchmark, the proposed model gives rise to an accurate stress-strain curve under shear loads, more accurate than most existing models.

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