Stability of periodic porous structures

  • Katia Bertoldi
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 562)


In this chapter we focus on the mechanics of two-dimensional periodic elastomeric cellular structures and present numerical techniques for investigating their finite deformations. We then use them to show that in an elastic matrix with a periodic array of pores instabilities with wavelengths that are of the order of the size of the microstructure can be triggered. Interestingly, these instabilities can be utilized to design a novel class of responsive materials. Possible applications include materials with unusual properties such as negative Poisson’s ratio, phononic and photonic switches and colorful and reconfigurable displays.


Periodic Structure Uniaxial Compression Critical Strain Applied Strain Pore Shape 


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Copyright information

© CISM, Udine 2015

Authors and Affiliations

  • Katia Bertoldi
    • 1
  1. 1.School of Engineering and Applied SciencesHarvard UniversityCambridgeUSA

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