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A phase-field regularized cohesive zone model for quasi-brittle materials with spatially varying fracture properties
Engineering Fracture Mechanics ( IF 5.4 ) Pub Date : 2021-09-02 , DOI: 10.1016/j.engfracmech.2021.107977
Hui Li 1 , Zhen-jun Yang 1 , Bei-bei Li 2 , Jian-ying Wu 3
Affiliation  

This study develops a numerical method combining the phase-field regularized cohesive zone model (PF-CZM) and random fields for modeling of complicated mesoscopic fracture in quasi-brittle materials. In this method, the material’s fracture properties such as tensile strength and fracture energy are assumed as spatial random variables and represented by Weibull random fields (RFs), which are mapped to finite element meshes. The PF-CZM with cohesive softening laws are used to model quasi-brittle multi-crack initiation and propagation without remeshing. The new method is first validated by Monte Carlo simulations of a mesoscale concrete example under uniaxial tension, with the effects of correlation length and variance in RFs investigated. Two concrete beam examples, under mode-I and mixed-mode fracture respectively, are then successfully modelled. It is found that the developed method can predict realistic, complicated fracture processes and load-carrying capacity of little mesh-dependence. It provides an effective tool for calculation of structural reliability caused by materials’ random heterogeneity.



中文翻译:

具有空间变化断裂特性的准脆性材料的相场正则化内聚区模型

本研究开发了一种结合相场正则化内聚区模型 (PF-CZM) 和随机场的数值方法,用于模拟准脆性材料中的复杂细观断裂。在该方法中,材料的断裂特性(例如拉伸强度和断裂能)被假定为空间随机变量,并由映射到有限元网格的威布尔随机场 (RF) 表示。具有内聚软化定律的 PF-CZM 用于模拟准脆性多裂纹的萌生和扩展,而无需重新网格化。新方法首先通过单轴拉伸下中尺度混凝土示例的蒙特卡罗模拟进行验证,并研究了相关长度和 RF 方差的影响。然后成功地模拟了两个混凝土梁示例,分别在模式 I 和混合模式断裂下。发现所开发的方法可以预测现实的、复杂的断裂过程和网格依赖性很小的承载能力。它为计算材料随机异质性引起的结构可靠性提供了有效的工具。

更新日期:2021-09-07
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