\documentclass[11pt]{article}
%\usepackage[utf8]{inputenc}

%opening
\title{Design projects}
\author{M 5740 Math Modeling \\
Fall 2017}

\begin{document}

\maketitle


\section{Metamaterials: Negative Poisson's ratio materials}

Invesigate the mode of deformation of the two structures and compute their
Poisson ratio in dependence of the angle . 
\newline
http://silver.neep.wisc.edu/ lakes/Poisson.html 
\newline
http://en.wikipedia.org/wiki/Auxetics 

Find other models of Auxetics sand
discuss their common properties.

Suggest a 3d model of auxetic material. What are
natural boundaries for the Poisson ratio?

\paragraph{A natural continuation of the auxetics: }
\newline
Theory 
\newline
Which Elasticity Tensors are Realizable?
Graeme W. Milton and Andrej V. Cherkaev
J. Eng. Mater. Technol 117(4), 483-493 (Oct 01, 1995) (11 pages)
\newline
Realization
\newline
On the feasibility of pentamode mechanical metamaterials by 
Muamer Kadic, Tiemo Bückmann, Nicolas Stenger, Michael Thiel, Martin Wegener
\newline
https://arxiv.org/abs/1203.1481
\end{document}
