3 papers
math.NA2026
Breaking Scale Separation in Metamaterials' homogenization: Interface-Inertia-Enhanced Relaxed Micromorphic Model
Angela Madeo, Leonardo Perez, Mohammad Sarhil
Homogenized continuum models are widely used to describe wave propagation and band-gap behavior in mechanical metamaterials without explicitly resolving their microstructure. Their…
math.NA2025
Static size-effects meet the dynamic scattering properties of finite-sized mechanical metamaterials: a relaxed micromorphic study with parameter identification via two-stage static-dynamic optimization
Mohammad Sarhil, Leonardo Andres Perez Ramirez, Max Jendrik Voss +1
Mechanical metamaterials exhibit size-effects when a few unit-cells are subjected to static loading because no clear micro-macro scale separation holds and the characteristic lengt…
math.NA2024
A computational approach to identify the material parameters of the relaxed micromorphic model
Mohammad Sarhil, Lisa Scheunemann, Peter Lewintan +2
We determine the material parameters in the relaxed micromorphic generalized continuum model for a given periodic microstructure in this work. This is achieved through a least squa…