Speaker: Yibao Li, professor and doctoral supervisor, Xi’an Jiaotong University

Date: June 27, 2024

Time: 11:00-12:00

Location: B924, Zhixin Building, Shandong University

Sponsor: School of Mathematics, Shandong University

Abstract:

In this talk, we will introduce an efficient multiscale topology optimization method for lattice materials. In macro-scale, we present a second-order unconditionally energy stable schemes for the topology optimization problem. Using porous media approach, our objective functional composes of five terms including mechanical property, Ginzburg-Landau energy, two penalized terms for solid and the volume constraint. A Crank-Nicolson method is proposed to discrete the coupling system. We prove that our proposed scheme is unconditionally energy stable. In macro-scale, we propose a simple volume Q merging method for triply periodic minimal structure. A modified Allen-Cahn type equation with a correction term is proposed. The mean curvature on the surface-k will be constant everywhere at the equilbrium state. Computational experiments are presented to demonstrate the efficiency of the proposed method.

For more information, please visit:

https://view.sdu.edu.cn/info/1020/192709.htm