• Corpus ID: 210023442

Incremental constitutive tensors and strain localization for prestressed elastic lattices: Part I -- quasi-static response

@article{Bordiga2020IncrementalCT,
  title={Incremental constitutive tensors and strain localization for prestressed elastic lattices: Part I -- quasi-static response},
  author={Giovanni Bordiga and L. Cabras and Andrea Piccolroaz and Davide Bigoni},
  journal={arXiv: Classical Physics},
  year={2020}
}
A lattice of elastic rods organized in a parallelepiped geometry can be axially loaded up to an arbitrary amount without distortion and then be subject to incremental displacements. Using quasi-static homogenization theory, this lattice can be made equivalent to a prestressed elastic solid subject to incremental deformation, in such a way to obtain extremely localized mechanical responses. These responses can be analyzed with reference to a mechanical model which can, in principle, be realized… 

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