Multi-phase viscoelastic microstructures
3D multi-phase viscoelastic microstructures with tailored loss modulus obtained via inverse homogenization analysis.
Fractional topology optimization of periodic multi-material viscoelastic microstructures with tailored energy dissipation.
Problem description
The 3D models above are optimized multi-phase viscoelastic microstructures with prescribed loss moduli for a predefined range of frequencies. The topology optimization formulation aims to find the lightest microstructure that maximizes the homogenized loss modulus of the composite material for a given design frequency. Below is a figure that displays the homogenized viscoelastic response of each of the four unit cells shown above.