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Title: Stiff isotropic lattices beyond the Maxwell criterion

Abstract

Materials with a stochastic microstructure, like foams, typically exhibit low mechanical stiffness, whereas lattices with a designed microarchitecture often show notably improved stiffness. These periodic architected materials have previously been designed by rule, using the Maxwell criterion to ensure that their deformation is dominated by the stretching of their struts. Classical designs following this rule tend to be anisotropic, with stiffness depending on the load orientation, but recently, isotropic designs have been reported by superimposing complementary anisotropic lattices. We have designed stiff isotropic lattices de novo with topology optimization, an approach based on continuum finite element analysis. Here, we present results of experiments on these lattices, fabricated by additive manufacturing, that validate predictions of their performance and demonstrate that they are as efficient as those designed by rule, despite appearing to violate the Maxwell criterion. These results highlight the enhanced potential of topology optimization to design materials with unprecedented properties.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [2];  [2];  [3]; ORCiD logo [2]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Massachusetts, Amherst, MA (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Univ. of Illinois at Urbana-Champaign, IL (United States). Dept. of Mechanical Science and Engineering
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1600882
Report Number(s):
LLNL-JRNL-759177
Journal ID: ISSN 2375-2548; 947607
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Science Advances
Additional Journal Information:
Journal Volume: 5; Journal Issue: 9; Journal ID: ISSN 2375-2548
Publisher:
AAAS
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING

Citation Formats

Chen, Wen, Watts, Seth, Jackson, Julie A., Smith, William L., Tortorelli, Daniel A., and Spadaccini, Christopher M. Stiff isotropic lattices beyond the Maxwell criterion. United States: N. p., 2019. Web. https://doi.org/10.1126/sciadv.aaw1937.
Chen, Wen, Watts, Seth, Jackson, Julie A., Smith, William L., Tortorelli, Daniel A., & Spadaccini, Christopher M. Stiff isotropic lattices beyond the Maxwell criterion. United States. https://doi.org/10.1126/sciadv.aaw1937
Chen, Wen, Watts, Seth, Jackson, Julie A., Smith, William L., Tortorelli, Daniel A., and Spadaccini, Christopher M. Fri . "Stiff isotropic lattices beyond the Maxwell criterion". United States. https://doi.org/10.1126/sciadv.aaw1937. https://www.osti.gov/servlets/purl/1600882.
@article{osti_1600882,
title = {Stiff isotropic lattices beyond the Maxwell criterion},
author = {Chen, Wen and Watts, Seth and Jackson, Julie A. and Smith, William L. and Tortorelli, Daniel A. and Spadaccini, Christopher M.},
abstractNote = {Materials with a stochastic microstructure, like foams, typically exhibit low mechanical stiffness, whereas lattices with a designed microarchitecture often show notably improved stiffness. These periodic architected materials have previously been designed by rule, using the Maxwell criterion to ensure that their deformation is dominated by the stretching of their struts. Classical designs following this rule tend to be anisotropic, with stiffness depending on the load orientation, but recently, isotropic designs have been reported by superimposing complementary anisotropic lattices. We have designed stiff isotropic lattices de novo with topology optimization, an approach based on continuum finite element analysis. Here, we present results of experiments on these lattices, fabricated by additive manufacturing, that validate predictions of their performance and demonstrate that they are as efficient as those designed by rule, despite appearing to violate the Maxwell criterion. These results highlight the enhanced potential of topology optimization to design materials with unprecedented properties.},
doi = {10.1126/sciadv.aaw1937},
journal = {Science Advances},
number = 9,
volume = 5,
place = {United States},
year = {2019},
month = {9}
}

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