Analysis of cracks in one-dimensional hexagonal quasicrystals with the heat effect

被引：24

作者：

Fan, CuiYing ^{[1
,2
]}

Yuan, YanPeng ^{[1
,2
]}

Pan, YiBo ^{[3
]}

Zhao, MingHao ^{[1
,2
,3
]}

机构：

[1] Zhengzhou Univ, Henan Key Engn Lab & Antifatigue Mfg Technol, Zhengzhou 450001, Henan, Peoples R China

[2] Zhengzhou Univ, Sch Mech Engn, 100 Sci Rd, Zhengzhou 450001, Henan Province, Peoples R China

[3] Zhengzhou Univ, Sch Mech & Engn Sci, Zhengzhou 450001, Henan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2017年 / 120卷

基金：

中国国家自然科学基金;

关键词：

One-dimensional hexagonal quasicrystal; Line crack; Fundamental solution; Intensity factor; Extended displacement discontinuity method; Heat; GENERAL-SOLUTIONS; PLANE ELASTICITY; DISPLACEMENT; SPACE; MEDIA; PHASE;

D O I：

10.1016/j.ijsolstr.2017.04.036

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The extended displacement discontinuity (EDD) method is proposed to analyze cracks in the periodical plane of one-dimensional (1D) hexagonal quasicrystals with the heat effect. Based on the operator theory and the Fourier transform, the fundamental solutions for EDDs are derived, where the EDD5 include phonon and phason displacement discontinuities and the temperature discontinuity. The EDD boundary integral equation method is used to analyze the singularities of the near-crack tip fields, and the extended stress intensity factor (ESIF) expressions are obtained in terms of the EDD5 across the crack faces. The EDD boundary element method is proposed to calculate the ESIFs of cracks in 1D hexagonal quasicrystals. COMSOL software is used to validate the developed method. The influences of applied mechanical and heat loads on cracks in a finite plate are investigated. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：146 / 156

页数：11

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