Discrete element model for cracking in defective ceramics under uniaxial compression

IF 2.8 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Yafeng Li, Lei Wang, Hongfei Gao, Jing Zhang
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Abstract

In this study, an improved discrete element model (DEM) is developed to understand the defect effect in ceramic cracking process. First, model parameters based on the linear parallel bonding model are calibrated using microcell deformation experiments and orthogonal experimental design methods. Then, the uniaxial compression of ceramics with different crack lengths and inclination angles are simulated. The crack initiation and propagation processes are illustrated with displacement and stress fields. The results show the predicted crack patterns are qualitatively in agreement with experimental observations. There are two stages of crack propagation with increasing uniaxial compressive load, i.e., primary and secondary cracks. In addition, the inclination and crack length of the defects have a great influence on the mode of crack initiation and propagation, and the first crack is more likely to initiate and extend for the defects with larger crack length and smaller inclination angle.

Abstract Image

Abstract Image

单轴压缩下缺陷陶瓷开裂的离散元模型
本研究开发了一种改进的离散元素模型 (DEM),以了解陶瓷开裂过程中的缺陷效应。首先,利用微电池变形实验和正交实验设计方法校准了基于线性平行结合模型的模型参数。然后,模拟了不同裂纹长度和倾斜角度的陶瓷单轴压缩过程。用位移和应力场说明了裂纹的产生和扩展过程。结果表明,预测的裂纹模式与实验观察结果基本一致。随着单轴压缩载荷的增加,裂纹扩展分为两个阶段,即初级裂纹和次级裂纹。此外,缺陷的倾角和裂纹长度对裂纹的起始和扩展模式有很大影响,裂纹长度较大、倾角较小的缺陷更容易起始和扩展第一条裂纹。
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来源期刊
Computational Particle Mechanics
Computational Particle Mechanics Mathematics-Computational Mathematics
CiteScore
5.70
自引率
9.10%
发文量
75
期刊介绍: GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate flows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.
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