Architecting materials for extremal stiffness, yield and buckling strengthThis paper proposes a methodology for architecting microstructures with
extremal stiffness, yield, and buckling strength using topology optimization.
The optimized microstructures reveal an interesting transition from simple
lattice like structures for yield-dominated situations to hierarchical lattice
structures for buckling-dominated situations. The transition from simple to
hierarchical is governed by the relative yield strength of the constituent base
material as well as the volume fraction. The overall performances of the
proposed microstructures indicate that optimal strength is determined by the
buckling strength at low volume fractions and yield strength at high volume
fractions, regardless of the base material's relative yield strength.
arxiv.org