2024/11/18 by Manish K. Singh, Singh, Manish Kumar, Chang Quan Lai +1
Engineering · #Adhesion, Friction, and Surface Interactions #Applied Physics (physics.app-ph) #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #Materials Science (cond-mat.mtrl-sci) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.2411.11332
openalex publication_date 2024/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Since its introduction more than 60 years ago, the Hashin-Shtrikman upper bound has stood as the theoretical limit for the stiffness of isotropic composites and porous solids, acting as an important reference against which the moduli of heterogeneous structural materials are assessed. Here, we show through first-principles calculations, supported by finite element simulations, that the Hashin-Shtrikman upper bound can be exceeded by the isotropic elastic response of an anisotropic structure constructed from an anisotropic material. The material and structural anisotropies mutually reinforce each other to realize the overall isotropic response, without incurring the mass penalty faced by the hybridization of geometries with complementary anisotropies. 3 designs were investigated (plate BCC, plate FCC and plate SC) but only plate SC yielded a solution for the anisotropic properties of the material, which are remarkably similar to that of single crystal nickel and single crystal ferrite.