Piskozub Yosyf, Sulym Heorhiy
Department of Applied Mathematics and Physics, Ukrainian Academy of Printing, Pidgolosko 19, 79020 L'viv, Ukraine.
Department of Mechanics and Applied Computer Science, Faculty of Mechanical Engineering, Bialystok University of Technology, Wiejska 45c, 15351 Bialystok, Poland.
Materials (Basel). 2021 Aug 30;14(17):4928. doi: 10.3390/ma14174928.
A numerical-analytical approach to the problem of determining the stress-strain state of bimaterial structures with interphase ribbon-like deformable inhomogeneities under combined force and dislocation loading has been proposed. The possibility of delamination along a part of the interface between the inclusion and the matrix, where sliding with dry friction occurs, is envisaged. A structurally modular method of jump functions is constructed to solve the problems arising when nonlinear geometrical or physical properties of a thin inclusion are taken into account. A complete system of equations is constructed to determine the unknowns of the problem. The condition for the appearance of slip zones at the inclusion-matrix interface is formulated. A convergent iterative algorithm for analytical and numerical determination of the friction-slip zones is developed. The influence of loading parameters and the friction coefficient on the development of these zones is investigated.
提出了一种数值分析方法，用于确定在力和位错联合作用下具有相间带状可变形不均匀性的双材料结构的应力应变状态。设想了在夹杂物与基体之间的部分界面处发生干摩擦滑动时分层的可能性。构建了一种结构模块化的跳跃函数方法，以解决考虑薄夹杂物的非线性几何或物理特性时出现的问题。构建了一个完整的方程组来确定问题的未知数。给出了夹杂物 - 基体界面处滑移区出现的条件。开发了一种用于分析和数值确定摩擦 - 滑移区的收敛迭代算法。研究了加载参数和摩擦系数对这些区域发展的影响。
