Multi-scale structures, as found in nature (eg, bone and bamboo), hold the promise of
achieving superior performance while being intrinsically lightweight, robust, and multi …

We determine in the framework of static linear elasticity the homogenized behavior of three-
dimensional periodic structures made of welded elastic bars. It has been shown that such …

The concurrent design of different lattice material microstructures and their corresponding
macro-scale distributions has great potential in achieving both lightweight and desired …

This article is concerned with the coupled optimization of the external boundary of a
structure and its infill made of some graded lattice material. The lattice material is made of a …

Thermal management has garnered increased attention with the advancement of equipment
miniaturization. As an innovative structural design methodology, the multiscale concurrent …

In order to improve the structural stiffness of the gravure cell structure in the solid printing
process and realize a lightweight design, a multi-objective optimization design method was …

This paper combines shape optimization and homogenization techniques in searching for
the optimal design of microstructures in elastic scaffolds. The development of materials with …

The major goal of the present study is to develop a computational design framework for the
active control of hydrodynamically lubricated interfaces. The framework ultimately delivers …

In this paper we generalize the periodic unfolding method and the notion of two-scale
convergence on surfaces of periodic microstructures to locally periodic situations. The …

In this paper, a two-scale approach for elastic shape optimization of fine-scale structures in
additive manufacturing is investigated. To this end, a free material optimization is performed …