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Title: A mechanical reduced order model for elastomeric 3D printed architectures

Abstract

Direct ink writing of silicone elastomers enables printing with precise control of porosity and mechanical properties of ordered cellular solids, suitable for shock absorption and stress mitigation applications. With the ability to manipulate structure and feedstock stiffness, the design space becomes challenging to parse to obtain a solution producing a desired mechanical response. We derive an analytical design approach for a specific architecture. Results from finite element simulations and quasi-static mechanical tests of two different parallel strand architectures were analyzed to understand the structure-property relationships under uniaxial compression. Combining effective stiffness-density scaling with least squares optimization of the stress responses yielded general response curves parameterized by resin modulus and strand spacing. An analytical expression of these curves serves as a reduced order model, which, when optimized, provides a rapid design capability for filament-based 3D printed structures. Finally, as a demonstration, the optimal design of a face-centered tetragonal architecture is computed that satisfies prescribed minimum and maximum load constraints.

Authors:
 [1];  [1];  [1];  [1];  [2];  [2];  [2];  [2]
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  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Materials Engineering Division
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Materials Science Division
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1482876
Report Number(s):
LLNL-JRNL-756873
Journal ID: ISSN 0884-2914; 943954
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Materials Research
Additional Journal Information:
Journal Volume: 33; Journal Issue: 3; Journal ID: ISSN 0884-2914
Publisher:
Materials Research Society
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Weisgraber, Todd H., Metz, Thomas, Spadaccini, Christopher M., Duoss, Eric B., Small, Ward, Lenhardt, Jeremy M., Maxwell, Robert S., and Wilson, Thomas S. A mechanical reduced order model for elastomeric 3D printed architectures. United States: N. p., 2018. Web. doi:10.1557/jmr.2017.483.
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Weisgraber, Todd H., Metz, Thomas, Spadaccini, Christopher M., Duoss, Eric B., Small, Ward, Lenhardt, Jeremy M., Maxwell, Robert S., & Wilson, Thomas S. A mechanical reduced order model for elastomeric 3D printed architectures. United States. https://doi.org/10.1557/jmr.2017.483
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Weisgraber, Todd H., Metz, Thomas, Spadaccini, Christopher M., Duoss, Eric B., Small, Ward, Lenhardt, Jeremy M., Maxwell, Robert S., and Wilson, Thomas S. Sun . "A mechanical reduced order model for elastomeric 3D printed architectures". United States. https://doi.org/10.1557/jmr.2017.483. https://www.osti.gov/servlets/purl/1482876.
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@article{osti_1482876,
title = {A mechanical reduced order model for elastomeric 3D printed architectures},
author = {Weisgraber, Todd H. and Metz, Thomas and Spadaccini, Christopher M. and Duoss, Eric B. and Small, Ward and Lenhardt, Jeremy M. and Maxwell, Robert S. and Wilson, Thomas S.},
abstractNote = {Direct ink writing of silicone elastomers enables printing with precise control of porosity and mechanical properties of ordered cellular solids, suitable for shock absorption and stress mitigation applications. With the ability to manipulate structure and feedstock stiffness, the design space becomes challenging to parse to obtain a solution producing a desired mechanical response. We derive an analytical design approach for a specific architecture. Results from finite element simulations and quasi-static mechanical tests of two different parallel strand architectures were analyzed to understand the structure-property relationships under uniaxial compression. Combining effective stiffness-density scaling with least squares optimization of the stress responses yielded general response curves parameterized by resin modulus and strand spacing. An analytical expression of these curves serves as a reduced order model, which, when optimized, provides a rapid design capability for filament-based 3D printed structures. Finally, as a demonstration, the optimal design of a face-centered tetragonal architecture is computed that satisfies prescribed minimum and maximum load constraints.},
doi = {10.1557/jmr.2017.483},
journal = {Journal of Materials Research},
number = 3,
volume = 33,
place = {United States},
year = {Sun Jan 21 00:00:00 EST 2018},
month = {Sun Jan 21 00:00:00 EST 2018}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1557/jmr.2017.483
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Citation Metrics:
Cited by: 9 works
Citation information provided by
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Figures / Tables:

Figure 1 Figure 1: Renderings of 12-layer a) simple cubic (SC) and b) face-centered tetragonal (FCT) architectures with a dimensionless pitch s/d = 2.)
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Works referenced in this record:

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    Works referencing / citing this record:

    Revisiting effects of microarchitecture on mechanics of elastomeric cellular materials
    journal, March 2019

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      Figures / Tables found in this record:

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      Figure 6 (p. 11)figure
      Figure 7 (p. 12)figure
      Table 1 (p. 12)table
      Figure 8 (p. 13)figure
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