Failure surfaces for brittle honeycombs with Plateau borders under in-plane biaxial loads

Abstract

Brittle honeycombs without any macrocrack under in-plane biaxial loads fail by elastic buckling and brittle rupturing of cell edges. The failure surfaces of brittle honeycombs with non-uniform thickness cell edges are affected by the cell-edge modulus of rupture and the distribution of solid between three cell edges and a vertex. In the paper, the non-uniform cross-section of cell edges is taken to be a Plateau border. Meanwhile, the variability of cell-edge modulus of rupture is taken into account by assuming that it follows a Weibull distribution. As a result of those, the failure surfaces of brittle honeycombs with Plateau borders caused by elastic buckling and brittle rupturing for a prescribed survival probability can be generated. The effects of the solid distribution in cell edges, the Weibull modulus and the prescribed survival probability on the failure surfaces of brittle honeycombs are also evaluated.