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Reexamining the mechanical property space of three-dimensional lattice architectures

Meza, Lucas R. and Phlipot, Gregory P. and Portela, Carlos M. and Maggi, Alessandro and Montemayor, Lauren C. and Comella, Andre and Kochmann, Dennis M. and Greer, Julia R. (2017) Reexamining the mechanical property space of three-dimensional lattice architectures. Acta Materialia, 140 . pp. 424-432. ISSN 1359-6454.

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Lightweight materials that are simultaneously strong and stiff are desirable for a range of applications from transportation to energy storage to defense. Micro- and nanolattices represent some of the lightest fabricated materials to date, but studies of their mechanical properties have produced inconsistent results that are not well captured by existing lattice models. We performed systematic nanomechanical experiments on four distinct geometries of solid polymer and hollow ceramic (Al_2O_3) nanolattices. All samples tested had a nearly identical scaling of strength (σy) and Young's modulus (E) with relative density (ρ¯), ranging from σy∝ρ¯1.45 to ρ¯1.92 and E∝ρ¯1.41 to ρ¯1.83, revealing that changing topology alone does not necessarily have a significant impact on nanolattice mechanical properties. Finite element analysis was performed on solid and hollow lattices with structural parameters beyond those realized experimentally, enabling the identification of transition regimes where solid-beam lattices diverge from existing analytical theories and revealing the complex parameter space of hollow-beam lattices. We propose a simplified analytical model for solid-beam lattices that provides insight into the mechanisms behind their observed stiffness, and we investigate different hollow-beam lattice parameters that give rise to their aberrant properties. These experimental, computational and theoretical results uncover how architecture can be used to access unique lattice mechanical property spaces while demonstrating the practical limits of existing beam-based models in characterizing their behavior.

Item Type:Article
Related URLs:
URLURL TypeDescription
Kochmann, Dennis M.0000-0002-9112-6615
Greer, Julia R.0000-0002-9675-1508
Additional Information:© 2017 Published by Elsevier Ltd on behalf of Acta Materialia Inc. Received 15 December 2016, Revised 25 July 2017, Accepted 23 August 2017, Available online 26 August 2017. JRG gratefully acknowledges the financial support of DoD through the Vannevar-Bush Fellowship, of Amgen through A.M.’s graduate fellowship (Funding Source Award No: 12520032) , and DARPA's MCMA program (Contract no.W91CRB-10-0305). D.M.K. and C.M.P. acknowledge support from the Office of Naval Research through grant no. N00014-16-1-2431. The authors thank Alex Zelhofer for computational support. The authors thank Sergio Pellegrino and Yuchen Wei for their support in conducting macroscopic truss compression experiments.
Funding AgencyGrant Number
Vannever Bush Faculty FellowshipUNSPECIFIED
Defense Advanced Research Projects Agency (DARPA)W91CRB-10-0305
Office of Naval Research (ONR)N00014‐16‐1‐2431
Subject Keywords:Nanolattices; Nanoarchitected materials; Lattices; Cellular solids; Mechanics
Record Number:CaltechAUTHORS:20170828-140820883
Persistent URL:
Official Citation:Lucas R. Meza, Gregory P. Phlipot, Carlos M. Portela, Alessandro Maggi, Lauren C. Montemayor, Andre Comella, Dennis M. Kochmann, Julia R. Greer, Reexamining the mechanical property space of three-dimensional lattice architectures, In Acta Materialia, Volume 140, 2017, Pages 424-432, ISSN 1359-6454, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:80858
Deposited By: Tony Diaz
Deposited On:28 Aug 2017 21:38
Last Modified:18 Oct 2017 23:21

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