Topology optimization formulation finds optimized multi-phase viscoelastic microstructures with tailored energy dissipation.
The microstructural configuration of a material affects its macroscopic viscoelastic behavior, which suggests that materials can be engineered to achieve a desired viscoelastic response over a range of frequencies.
In this study, we leverage topology optimization to find the optimized topology of a multi-phase viscoelastic composite to tailor its energy dissipation behavior as a function of frequency.
The topology optimization formulation aims to find the lightest microstructure that minimizes the sum of squared loss modulus residuals for a given set of target frequencies. This leads to the design of materials with either maximized loss modulus for a given target frequency or tailored loss modulus for a predefined set of frequencies.
Fractional topology optimization of periodic multi-material viscoelastic microstructures with tailored energy dissipation.