Bending Stresses in Triangular Auxetic Plates

Abstract

This technical brief considers bending stress minimization as a basis for obtaining the optimal Poisson's ratio of simply supported equilateral triangular plates under (a) bending loads at the plate boundary, (b) uniform load throughout the entire plate, and (c) concentrated load at the plate center. Results suggest that the use of auxetic materials is not appropriate for triangular plates under applied bending at the boundary, while mildly auxetic and highly auxetic materials are appropriate for triangular plates under uniform and central point loads, respectively. In addition, obtained results show that the optimal Poisson's ratios for circular and square auxetic plates are not necessarily applicable for triangular plates. The use of auxetic materials offers an additional choice for decreasing bending stresses under specific boundary conditions and loading patterns.