In this study, the wavy honeycomb's initial peak crushing force (IPCF) and energy absorption (EA) were estimated using decision tree algorithm. First, experimental results, Ls-Dyna models of honeycombs verified. way, stress-strain curves shapes compatible. Secondly, effect parameters was examined. Waves contribute significantly to values. particular, for with same geometric properties, when wav...

Lattice materials, such as honeycombs, are remarkable in their ability to combine high stiffness, strength and toughness at low density. In addition, the recent pervasive development of additive manufacturing technologies makes it easier produce these cellular materials opens new possibilities improve properties by implementing small modifications microstructure. Such developments open opportun...

Horn’s conjecture [Ho], which given the spectra of two Hermitianmatrices describes the possible spectra of the sum, was recently settled in the affirmative. We discuss one of the many steps in this, which required us to introduce a combinatorial gadget called a honeycomb; the question is then reformulable as about the existence of honeycombs with certain boundary conditions. Another important t...

W hen Hilbert introduced his famous list of 23 problems, he said a test of the perfection of a mathematical problem is whether it can be explained to the first person in the street. Even after a full century, Hilbert's problems have never been thoroughly tested. Who has ever chatted with a telemarketer about the Riemann hypothesis or discussed general reciprocity laws with the family physician?...

We present a numerical minimization procedure to determine the macroscopic ‘plastic collapse strength’ of a tessellated cellular structure under a general stress state. The method is illustrated with sample cellular structures of regular and hierarchical honeycombs. Based on the deformation modes found by minimization of plastic dissipation, closed-form expressions for strength are derived. The...

The inplane elastic properties of perfectly circular and elliptic cell honeycombs are derived through an analytical method and validated numerically. In the case of perfectly circular cell hexagonally packed honeycomb, the inplane elastic properties are shown to be isotropic. However, a departure from circularity of the cells leading to cell ellipticity results in the inplane properties becomin...

The definition of honey in both standards is the same: “Honey is the natural sweet substance, produced by honey bees from the nectar of plants or from secretions of living parts of plants or excretions of plant-sucking insects on the living parts of plants, which the bees collect, transform by combining with specific substances of their own, deposit, dehydrate, store and leave in honeycombs to ...