Composites And Metamaterials by Lakes Roderic;

Author:Lakes, Roderic;
Language: eng
Format: epub
Publisher: World Scientific Publishing Company
Published: 2020-01-15T00:00:00+00:00

Chapter 6

Cellular solids and lattices

6.1Introduction

Cellular solids are composites in which one phase is empty space or a fluid such as water or air. Cellular solids include honeycombs, foams, and other porous materials [1]. Biological materials such as bone and wood have cellular structure as well as fibrous structure. Lattices are cellular solids in which the structure contains a solid phase which repeats in three dimensions. In this chapter, tilings / tessellations are considered first, then the mechanical properties of honeycombs (§6.3) and foams (§6.4) are analyzed. Lattices (§6.5) are then studied.

Use of void space in cellular solids allows one to attain negative and extreme physical properties. Extremal modulus and strength is achieved in hierarchical lattices that have structure within structure, §6.5.6. The tuning of Poisson’s ratio to extreme values including negative Poisson’s ratio is presented in §6.6. The tuning of thermal expansion to negative or extreme values is presented in §6.7.1. Tuning of the Hall effect is presented in §6.7.3. The control of waves including cloaking and wave absorption is presented in §6.8.

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