Lattice structures in ‘pore shape-stiffness’ framework: A ‘porosity-moment of inertia’ based interpretation

• Published in: Materials letters 2023-01, Vol.330, p.133266, Article 133266
• Main Authors: Chauhan, Atul, Bhatt, Amba D.
• Format: Article
• Language: English
• Subjects: Composite materials; Elastic properties; Lattice structures; Porous material; Scaffold; Stiffness
• ISSN: 0167-577X; 1873-4979
• DOI: 10.1016/j.matlet.2022.133266

[Display omitted] •A novel ‘Porosity-Moment of inertia’ based interpretation.•Helpful to analyze the effect of change in pore shape on the effective stiffness of considered lattice structures at constant porosity levels.•To minimize stress-shielding in scaffolds: A desirable development from the perspective of lattices design. Existing mathematical models (scaling laws) that correlate the stiffness of lattices with their porosity and the shape of pores only suggest the monotonic decrease of stiffness with increase in porosity levels for the given shape of a pore. Such mathematical models are of limited use in analyzing the effect of change in shape of the pore(s) on the stiffness of lattice at constant porosity levels. To address the highlighted research gap, this work utilizes the archaic concept of classical mechanics (moment of inertia) to propose a normalized parametric tensor for the unifiedquantification of the shape of the pore(s) in lattices. Micromechanics-based results successfully demonstrate the application of the suggested framework to improve the understanding, interpretation, and predictability of the effect of change in the shape of the pore(s) on the stiffness of lattice structures.