Are higher-gradient models also capable of predicting mechanical behavior in the case of wide-knit pantographic structures?

Spagnuolo M., Yıldızdağ M. E., Andreaus U., Cazzani A. M.

MATHEMATICS AND MECHANICS OF SOLIDS, vol.26, no.1, pp.18-29, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1177/1081286520937339
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.18-29
  • Keywords: Mechanical metamaterials, pantographic structures, second-gradient modeling, additive manufacturing, STRAIN GRADIENT, FINITE-ELEMENTS, PLATES, HOMOGENIZATION, DAMAGE, BEAM, INTERPOLATION, ELASTICITY
  • Istanbul Technical University Affiliated: Yes


The central theme of this study is to investigate a remarkable capability of a second-gradient continuum model developed for pantographic structures. The model is applied to a particular type of this metamaterial, namely the wide-knit pantograph. As this type of structure has low fiber density, the applicability of such a continuum model may be questionable. To address this uncertainty, numerical simulations are conducted to analyze the behavior of a wide-knit pantographic structure, and the predicted results are compared with those measured experimentally under bias extension testing. The results presented in this study show that the numerical predictions and experimental measurements are in good agreement; therefore, in some useful circumstances, this model is applicable for the analysis of wide-knit pantographic structures.