3 papers
math.AP2025
Homogenization and continuum limit of mechanical metamaterials
M. P. Ariza, S. Conti, M. Ortiz
When used in bulk applications, mechanical metamaterials set forth a multiscale problem with many orders of magnitude in scale separation between the micro and macro scales. Howeve…
physics.class-ph2024
Fracture and size effect in mechanical metamaterials
J. Ulloa, M. P. Ariza, J. E. Andrade +1
We resort to variational methods to evaluate the asymptotic behavior of fine metamaterials as a function of cell size. To zeroth order, the metamaterial behaves as a micropolar con…
cond-mat.mtrl-sci2024
Homogenized Models of Mechanical Metamaterials
J. Ulloa, M. P. Ariza, J. E. Andrade +1
Direct numerical simulations of mechanical metamaterials are prohibitively expensive due to the separation of scales between the lattice and the macrostructural size. Hence, multis…