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Interaction of collinear interface cracks between dissimilar one-dimensional hexagonal piezoelectric quasicrystals
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-06-24 , DOI: 10.1002/zamm.202000360 Keqiang Hu 1 , Cunfa Gao 1 , Zheng Zhong 2 , Zengtao Chen 3
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-06-24 , DOI: 10.1002/zamm.202000360 Keqiang Hu 1 , Cunfa Gao 1 , Zheng Zhong 2 , Zengtao Chen 3
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In this paper, the interaction of collinear interface cracks between dissimilar one-dimensional (1D) hexagonal quasicrystals with piezoelectric effect under anti-plane shear and in-plane electric loading has been studied. By using complex variable method the mixed boundary value problem for the interface cracks was reduced to the solution of Riemann-Hilbert problem. Analytic full-field solution for phonon and phason stresses, electric fields, electric displacement in the cracked bi-materials has been obtained based on the electrically permeable crack model. The electric field and electric displacement inside the interface cracks are found to be nonlinearly distributed under line loadings. The field intensity factors of the interface cracks depend on both the mechanical and electric load for the line loading case, but the field intensity factors depend only on mechanical loading when the uniform loadings are applied at infinity. The investigation of the SIFs of neighboring interface cracks has been used to predict possible crack propagation. It is found that when the neighboring cracks are close enough, the inner crack tips are more likely to propagate and when the neighboring cracks are far away from each other, the outer crack tip of the bigger crack has more possibility to propagate.
中文翻译：
异种一维六方压电准晶间共线界面裂纹的相互作用
在本文中，研究了不同一维（1D）六方准晶之间的共线界面裂纹与压电效应在反面剪切和面内电载荷下的相互作用。采用复变量法将界面裂纹的混合边值问题简化为Riemann-Hilbert问题的解。基于电渗透裂纹模型获得了裂纹双材料中声子和相子应力、电场、电位移的全场解析解。发现界面裂纹内的电场和电位移在线载荷下呈非线性分布。界面裂纹的场强因子取决于线路载荷情况下的机械载荷和电载荷，但在无穷远施加均匀载荷时，场强因子仅取决于机械载荷。相邻界面裂纹的 SIF 研究已被用于预测可能的裂纹扩展。发现当相邻裂纹足够接近时，内裂纹尖端更有可能传播，当相邻裂纹彼此远离时，较大裂纹的外裂纹尖端更有可能传播。
更新日期：2021-06-24
中文翻译：
异种一维六方压电准晶间共线界面裂纹的相互作用
在本文中，研究了不同一维（1D）六方准晶之间的共线界面裂纹与压电效应在反面剪切和面内电载荷下的相互作用。采用复变量法将界面裂纹的混合边值问题简化为Riemann-Hilbert问题的解。基于电渗透裂纹模型获得了裂纹双材料中声子和相子应力、电场、电位移的全场解析解。发现界面裂纹内的电场和电位移在线载荷下呈非线性分布。界面裂纹的场强因子取决于线路载荷情况下的机械载荷和电载荷，但在无穷远施加均匀载荷时，场强因子仅取决于机械载荷。相邻界面裂纹的 SIF 研究已被用于预测可能的裂纹扩展。发现当相邻裂纹足够接近时，内裂纹尖端更有可能传播，当相邻裂纹彼此远离时，较大裂纹的外裂纹尖端更有可能传播。
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