ANALYSIS OF SINGULARITIES AT THE CENTER OF HETEROGENEOUS HONEYCOMB CELL UNDER ANTIPLANE DEFORMATION

MECHANICS

Abstract

In this paper, we discuss the presence or absence of stress concentration at the center of two kinds of heterogeneously dissimilar honeycomb cells under antiplane deformation. Determining the presence of stress concentration is necessary to determine the criteria for the destruction of structural elements. In the first case, a continuous two-compartment cell is considered, for which the boundary conditions have periodically repeating characteristics. In the second case, the heterogeneous cell is assumed to be discontinuous, with a cutout of one of its quarters, for which the periodic nature of the boundary conditions is violated. Thus, the task of investigating heterogeneous cells for the presence or absence of stress concentration at their center is reduced to the comparison of stress-strain states in the case of antiplane deformation of two differently dissimilar honeycomb cells: honeycomb cells with significantly and slightly different physicomechanical characteristics, for which, as it turns out, the picture of the stress state near the center is radically different. The study was carried out using modern methods and tools of computational mathematics and programming.