Topology optimization offers a mathematical framework to determine the most efficient material layout and shape for prescribed objectives, constraints, material behaviors, and operational conditions. While the application of topology optimization for continuum-scale structures and material behavior is quite mature, there remains great potential for topology optimization to advance the frontiers of materials design. This potential lies in thinking broadly about materials, waste, economy, craft, and design. Here inspiration is drawn from award-winning leaders and inventors in design, fashion, art, and architecture regarding the role of materials, as well as challenges and opportunities of designing with and for materials.

拓扑优化提供了一个数学框架，可以为规定的目标、约束、材料行为和操作条件确定最有效的材料布局和形状。虽然拓扑优化在连续尺度结构和材料行为方面的应用已经相当成熟，但拓扑优化在推进材料设计前沿方面仍有巨大潜力。这种潜力在于对材料、废物、经济、工艺和设计的广泛思考。在这里，灵感来自设计、时尚、艺术和建筑领域屡获殊荣的领导者和发明家，关于材料的作用，以及材料设计的挑战和机遇。