Experimental in-plane characterization of a cellular material composed by a cell with a normal re-entrant link and geometrical parameters effects on the structure mechanical properties

  • Mourad BoukhatemEmail author
  • Toufik Benmansour
  • Valéry Valle
  • Mustapha Bouakba
Technical Paper


In this work, we have characterized a cellular structure constituted by a new cell on which we carried out, initially, tensile and shear tests in order to get its in-plane mechanical properties; in the second time, we explored the effects that geometry will have on these mechanical properties by varying the geometric parameters of the cell. The specimens were designed by \({\text{Computer Aided Design }}\) software and obtained by rapid prototyping (laser cutting). In the quest for results, we used the technique of marker tracking. This optical method of correlating images consists in measuring the plane components of the displacement of a plane surface leaving some marks on the specimen. This makes it possible to determine the in-plane components of the transformation gradient tensor and to reach the plane components of the deformation tensor under certain assumptions (axisymmetric or isochoric transformation, small deformations, etc). The material of the studied structure is a polymethylmethacrylate, often abbreviated to \({\text{PMMA}}\). The first results gave a negative Poisson’s ratio, announcing an auxetic behavior. The following results have confirmed the auxetic character of the cell and show great influence of the geometric parameters on the mechanical properties of the new structure.


Cell structure Image correlation Marker tracking technique Sandwich panels Composite structures 



The support of Ouargla University is gratefully acknowledged. We also thank Professor Sakhri of the Department of Process Engineering of the Faculty of Applied Sciences of the University KASDI MERBAH of Ouargla for his time spent reading this article and his remarks which helped to improve the quality of work.


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringMentouri UniversityConstantineAlgeria
  2. 2.Institut Pprime, CNRSUniversité de Poitiers, ENSMAFuturoscope Chasseneuil CedexFrance
  3. 3.Department of Mechanical Engineering, Applied Sciences FacultyKasdi Merbah University, OuarglaOuarglaAlgeria

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