Asymptotic stress field at tip of notch terminating to interface
2021
Mieczkowski, G., Bialystok Univ. of Technology (Poland) | Szpica, D., Bialystok Univ. of Technology (Poland) | Borawski, A., Bialystok Univ. of Technology (Poland) | Awad, M.M., Mansoura University (Egypt) | Elgarayhi, A., Mansoura University (Egypt) | Sallah, M., Mansoura University (Egypt);Higher Inst. for Engineering and Technology, 6th of October City (Egypt)
The paper presents the results of research related to the analytical and numerical description of the local stress fields generated by a sharp notch, which tip is located at the interface of the bi-material structure. While the problem of the crack initiated on the line separating two different elastic materials is quite well described in the literature, the problem of corners with a non-zero apex angle is insufficiently investigated. The analytical description of the stress fields around the corner apex, with the use of generalized stress intensity factor (GSIF), was obtained on the basis of the equations of the theory of elasticity and the Airy stress function. The analytical and numerical method was used to determine the value of GSIFs. Assuming that the specimens (single edgenotched plate) were subjected to uniaxial load, the GSIFs were determined. The influence of the notch height and angle on the value of generalized stress intensity factors was investigated. Moreover, the calculations were made for various relative stiffness (Young’s moduli proportions of individual components of the bi-material structure). It was found that the normalized GSIF values increase with a decrease in the relative stiffness and an increase in the notch height and its apex angle. The results obtained, if possible, were compared with the literature data. A satisfactory agreement was found with the results presented by other scientists.
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