A Phase Field Approach to Two-Dimensional Quasicrystals with Mixed Mode Cracks

被引：2

作者：

Li, Tong ^{[1
,2
]}

Yang, Zhenting ^{[1
,2
]}

Xu, Chenghui ^{[3
]}

Xu, Xinsheng ^{[1
,2
]}

Zhou, Zhenhuan ^{[1
,2
]}

机构：

[1] Dalian Univ Technol, Int Ctr Computat Mech, Dept Engn Mech, State Key Lab Struct Anal Optimization & CAE Softw, Dalian 116024, Peoples R China

[2] Dalian Univ Technol, Int Ctr Computat Mech, Dept Engn Mech, CAE Software Ind Equipment, Dalian 116024, Peoples R China

[3] Northwestern Polytech Univ, Sch Mech Civil Engn & Architecture, Xian 710072, Peoples R China

来源：

MATERIALS | 2023年 / 16卷 / 10期

关键词：

phase field model; decagonal quasicrystal; crack propagation; brittle fracture; mixed mode crack; finite element method; SEMIINFINITE COLLINEAR CRACKS; DISLOCATION-MOTION; MOLECULAR-DYNAMICS; PLANE ELASTICITY; PROPAGATION; FRACTURE;

D O I：

10.3390/ma16103628

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

Quasicrystals (QCs) are representatives of a novel kind of material exhibiting a large number of remarkable specific properties. However, QCs are usually brittle, and crack propagation inevitably occurs in such materials. Therefore, it is of great significance to study the crack growth behaviors in QCs. In this work, the crack propagation of two-dimensional (2D) decagonal QCs is investigated by a fracture phase field method. In this method, a phase field variable is introduced to evaluate the damage of QCs near the crack. Thus, the crack topology is described by the phase field variable and its gradient. In this manner, it is unnecessary to track the crack tip, and therefore remeshing is avoided during the crack propagation. In the numerical examples, the crack propagation paths of 2D QCs are simulated by the proposed method, and the effects of the phason field on the crack growth behaviors of QCs are studied in detail. Furthermore, the interaction of the double cracks in QCs is also discussed.

引用

页数：15

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