Mieczkowski Grzegorz, Szpica Dariusz, Borawski Andrzej, Awad Mohamed M, Elgarayhi Ahmed, Sallah Mohammed
Faculty of Mechanical Engineering, Bialystok University of Technology, 45C Wiejska Str., 15-351 Bialystok, Poland.
Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt.
Materials (Basel). 2021 Aug 9;14(16):4466. doi: 10.3390/ma14164466.
The article deals with the problem of a sharp corner, the tip of which is located on the bi-material interface. The paper presents a qualitative and quantitative description of singular stress fields occurring in the tip area of such a stress concentrator. The qualitative description was obtained by solving the problem of the plane theory of elasticity with appropriately defined boundary conditions. To obtain a quantitative description, it was necessary to determine the values of generalised stress intensity factors (GSIFs). The GSIFs were determined using the developed analytical-numerical method. The calculations were made for various load variants (uniaxial/biaxial tension load, shear load) and notch positions (single/double edge-notched plate, centre-notched plate). Additionally, the impact of notch geometry (height and opening angle) and relative stiffness (Young's moduli ratio of both components of bi-material) on GSIFs was investigated. It has been noticed that with a decrease in the relative stiffness and an increase in the notch angle or its height, the normalised GSIFs values increased. The obtained results were compared with the data available in the literature and their satisfactory agreement with those presented by other scientists was found.
本文探讨了尖角问题，其尖端位于双材料界面上。本文对这种应力集中器尖端区域出现的奇异应力场进行了定性和定量描述。定性描述是通过求解具有适当定义边界条件的平面弹性理论问题获得的。为了获得定量描述，有必要确定广义应力强度因子（GSIFs）的值。GSIFs是使用所开发的解析数值方法确定的。针对各种载荷变体（单轴/双轴拉伸载荷、剪切载荷）和缺口位置（单边/双边缺口板、中心缺口板）进行了计算。此外，还研究了缺口几何形状（高度和开口角度）和相对刚度（双材料两个组件的杨氏模量比）对GSIFs的影响。已经注意到，随着相对刚度的降低以及缺口角度或其高度的增加，归一化的GSIFs值会增加。将获得的结果与文献中的数据进行了比较，发现它们与其他科学家提出的数据令人满意地一致。
