Speaker
Description
We study a phase-field structural topology optimization problem motivated by applications in 3D printing formulated using a thermoelastic Cosserat continuum framework with thermal spectral dissipation. The Cosserat theory accounts for micropolar effects in the mechanical response, while thermal effects account for heat-driven phenomena relevant to additive manufacturing. The resulting optimization problem includes an anisotropic Ginzburg-Landau functional in order to produce optimal designs that adhere to the overhang angle constraints that plays a significant role in determining the success of the printing process. We present results concerning existence of minimizers and derive first order necessary optimality conditions using subdifferential calculus to handle the non-differentiable anisotropy term. If time permits, we will discuss related sharp interface limits and second order sufficient optimality conditions under simplified settings. This is a joint work with Ting Fung Chan (Hong Kong)