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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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Citations
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Yield and buckling behavior of Kelvin open-cell foams subjected to uniaxial compression

TL;DR: In this paper, a homogenization theory of the updated Lagrangian type is applied to cubic unit cells and cell aggregates in the Kelvin foam model to analyze the yield and buckling behavior of Kelvin open-cell foams subjected to uniaxial compression.
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Structural design and mechanical response of gradient porous Ti-6Al-4V fabricated by electron beam additive manufacturing

TL;DR: In this paper, different designs of gradient porous materials are fabricated by additive manufacturing 3D printing via the electron beam melting (EBM) method, and the mechanical properties are examined.
Journal ArticleDOI

Effects of polydispersity and disorder on the mechanical properties of hydrated silicate gels

TL;DR: In this paper, the effect of grain polydispersity and structural disorder on the nanomechanics of colloidal calcium-silicate-hydrate (C-S-H) gel is investigated.
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Controlling shockwave dynamics using architecture in periodic porous materials

TL;DR: In this paper, a spatially graded flow was demonstrated in shock-driven experiments via the spatial control of layer symmetries afforded by additive manufacturing techniques at the micron scale.
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Fabrication, chemical etching, and compressive strength of porous biomimetic SiC for medical implants

TL;DR: In this article, a biomimetic SiC-based ceramic material fabricated by Si melt infiltration of carbon preforms obtained from wood is presented, which can be used as a medical implant material.
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.