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\title{Title}

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\affiliation{Instituto de F\'isica, Benem\'erita Universidad Aut\'onoma de Puebla, Apartado Postal J-48, Puebla 72570, Mexico}

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\begin{abstract}
The  elastic regime of three-dimensional arrays of spherical magnets is studied. Three different crystal structures were built experimentally, then torsional and  bending forces  were applied to obtain a linear deformation until they collapse. The torsion and bending stiffness are determined experimentally and compared with numerical simulations based on energy minimization at each step of the acting stress. We found that these properties have a power low dependence on the geometry and it changes dramatically for each type of lattice.

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\maketitle
Arrays of permanent neodymium spherical magnets are particular self assembled structures whose stability depend on the dipole orientations and geometry configuration. This fact has been already studied in \cite{Hall2013},  \cite{Vella2014}  and  \cite{Dorbolo2014}  for chains,  in  \cite{Messina2014} for 2D structures and in  \cite{Messina2015a}  and \cite{Messina2018}  for the 3D case. However, most of the studies have been focused on the geometry needed to achieve the least magnetic energy and this question has been solved for 1D and 2D structures, but it seems to be yet an open question for the 3D case as mentioned in \cite{Richter2015} and \cite{Messina2015b}. On the other hand, only a few studies have been adressed to  the dynamics for simple configurations \cite{Schonke2017}  and using a Lagrangian approach in \cite{Boisson2015} and \cite{Ciambella2018}.


\subsection{I. EXPERIMENTAL SETUP} 
The experiments were performed using magnetic 

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\subsection{II. RESULTS AND DISCUSSION}
\textit{Tensile strength of a single chain:} The first system to be analyzed is a linear chain 

\bigskip
\noindent \textbf{Conclusion}: 

In mechanics of continuous media it is stated that the elastic properties of...

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\noindent  \textbf{Acknowledgments}

This research was supported by CONACYT Mexico through CB-0242085 and VIEP-BUAP project 2018. 

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$^*$ Corresponding author: fpacheco@ifuap.buap.mx
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\bibitem{Hall2013} Hall, Cameron L., Dominic Vella, and Alain Goriely. The mechanics of a chain or ring of spherical magnets, SIAM Journal on Applied Mathematics 73.6: 2029-205 (2013).


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