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The mechanics of three-dimensional cellular materials

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TLDR
In this paper, the mechanical properties of two-dimensional cellular materials, or honeycombs, are analyzed and compared with experiments, in terms of bending, elastic buckling and plastic collapse of the beams that make up the cell walls.
Abstract
The mechanical properties (linear and nonlinear elastic and plastic) of two-dimensional cellular materials, or honeycombs, are analysed and compared with experiments. The properties are well described in terms of the bending, elastic buckling and plastic collapse of the beams that make up the cell walls.

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Dimpled elastic sheets: a new class of non-porous negative Poisson's ratio materials.

TL;DR: A novel periodic material with negative Poisson’s ratio fabricated by denting spherical dimples in an elastic flat sheet is reported, paving the way for developing a new class of auxetic materials that significantly expand their design space and possible applications.
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Mechanical properties of additively manufactured octagonal honeycombs

TL;DR: The mechanical properties of honeycomb structures with a new geometry, called octagonal honeycomb, were investigated using analytical, numerical, and experimental approaches and showed yield stress and elastic modulus values very close to those of regular hexagonal honeycombs and lower than the other considered Honeycomb structures.
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Modeling and Simulation of Biomaterials

TL;DR: In this article, the authors discuss application of modeling and simulation in the developing field of biomaterials, focusing primarily on the structure and properties of biommaterials and do not discuss biochemical or biomedical applications.
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Relative modulus-relative density relationships in low density polymer-clay nanocomposite foams

TL;DR: In this paper, the relative modulus-relative density relationship of low-density polyurethane (PU) nanocomposite foams with porosity of 97% was investigated.
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Mechanical behaviors of hierarchical cellular structures with negative Poisson’s ratio

TL;DR: Li et al. as mentioned in this paper investigated the mechanical properties of hierarchical re-entrant honeycomb structures using finite element method, and the minimum Poisson's ratios of the first-order and second-order hierarchical reentrant structures were −1.581 and − 1.823, respectively; they were 32.9 and 53.2% lower than that of a zeroth order hierarchical structure.
References
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Book

Theory of elasticity

TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book

On Growth and Form

TL;DR: This book is an application of some of the concepts of physical science and sundry mathematical methods to the study of organic form and is like one of Darwin's books, well-considered, patiently wrought-out, learned, and cautious.
Journal ArticleDOI

The Elastic Constants of a Solid containing Spherical Holes

TL;DR: In this article, a self-consistent method for the estimation of the shear modulus and the bulk modulus is proposed, where each hole is surrounded by a spherical shell of real material, and the reaction of the rest of the material is estimated by replacing it by equivalent homogeneous material.