Abstract
The aim of this work is to estimate upper bounds of the Burnett coefficients in the high order homogenized wave equation, along with optimal microgeometries using a non-convex and mutimodal optimization method. We assumed that the two-dimensional unit cell is consist of a two-phase composite material with an 8-fold symmetry assumption. Under this geometrical assumption in the unit cell, the Burnett tensor is characterized by two scalar parameters. In order to estimate the upper bounds of the wave dispersion, we numerically compute Pareto fronts in the plane of the two scalar parameters under two equality constraints for the the phase proportions and for the homogenized tensor. The optimization problem is formulated considering a non-concave bound and solved using a shape optimization method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: The Proceedings of Design & Systems Conference
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.