|About this Abstract
||2022 TMS Annual Meeting & Exhibition
||Sensitivity and Uncertainty Quantification Analysis in Phononic Metamaterials through Complex-Variable Finite Element Method
||David Restrepo, Juan David Navarro, Juan Camilo Velasquez, Harry Millwater, Matthew Balcer
|On-Site Speaker (Planned)
Phononic metamaterials exhibit frequency band gaps. This property is found to be useful in various applications, such as noise absorption and seismic wave abatement. However, the bandgap behavior is sensitive to small variations in the unit cell. Current techniques used to produce periodic metamaterials, such as additive manufacturing, do not ensure mechanical or geometric consistency to preserve theoretical predictions. Therefore, it is of primal importance to investigate the band gaps' sensibility to different parameter variations to close the breach between the scientific predictions and the industrial applications. In this talk, we will present a new computational methodology to perform parameter sensibility and uncertainty quantification in these materials. The method is based on the complex-variable finite element method (ZFEM) coupled with Bloch's periodic boundary. Preliminary results show that our method can reproduce probability density functions with the same accuracy as Monte Carlo modeling but at a fraction of the computational cost.
||Mechanical Properties, Modeling and Simulation, Additive Manufacturing