Three-point bending test of pantographic blocks: numerical and experimental investigation

M. Erden Yildizdag*, Emilio Barchiesi, Francesco dell’Isola

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

50 Citations (Scopus)


The equilibrium forms of pantographic blocks in a three-point bending test are investigated via both experiments and numerical simulations. In the computational part, the corresponding minimization problem is solved with a deformation energy derived by homogenization within a class of admissible solutions. To evaluate the numerical simulations, series of measurements have been carried out with a suitable experimental setup guided by the acquired theoretical knowledge. The observed experimental issues have been resolved to give a robust comparison between the numerical and experimental results. Promising agreement between theoretical predictions and experimental results is demonstrated for the planar deformation of pantographic blocks.

Original languageEnglish
Pages (from-to)1965-1978
Number of pages14
JournalMathematics and Mechanics of Solids
Issue number10
Publication statusPublished - 1 Oct 2020

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© The Author(s) 2020.


  • additive manufacturing
  • Mechanical metamaterials
  • pantographic structures
  • second gradient modeling
  • three-point bending


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