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Title: Optimality of Thermal Expansion Bounds in Three Dimensions

Abstract

In this short note, we use topology optimization to design multi-phase isotropic three-dimensional composite materials with extremal combinations of isotropic thermal expansion and bulk modulus. In so doing, we provide evidence that the theoretical bounds for this combination of material properties are optimal. This has been shown in two dimensions, but not heretofore in three dimensions. Finally, we also show that restricting the design space by enforcing material symmetry by construction does not prevent one from obtaining extremal designs.

Authors:
 [1];  [1]
  1. Univ. of Illinois, Urbana-Champaign, IL (United States). Dept. of Mechanical Science & Engineering
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE; Defense Advanced Research Projects Agency (DARPA)
OSTI Identifier:
1302510
Alternate Identifier(s):
OSTI ID: 1400085
Report Number(s):
LLNL-JRNL-667959
Journal ID: ISSN 2352-4316
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Published Article
Journal Name:
Extreme Mechanics Letters
Additional Journal Information:
Journal Volume: 12; Journal ID: ISSN 2352-4316
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Watts, Seth E., and Tortorelli, Daniel A. Optimality of Thermal Expansion Bounds in Three Dimensions. United States: N. p., 2015. Web. doi:10.1016/j.eml.2016.06.007.
Watts, Seth E., & Tortorelli, Daniel A. Optimality of Thermal Expansion Bounds in Three Dimensions. United States. doi:10.1016/j.eml.2016.06.007.
Watts, Seth E., and Tortorelli, Daniel A. Fri . "Optimality of Thermal Expansion Bounds in Three Dimensions". United States. doi:10.1016/j.eml.2016.06.007.
@article{osti_1302510,
title = {Optimality of Thermal Expansion Bounds in Three Dimensions},
author = {Watts, Seth E. and Tortorelli, Daniel A.},
abstractNote = {In this short note, we use topology optimization to design multi-phase isotropic three-dimensional composite materials with extremal combinations of isotropic thermal expansion and bulk modulus. In so doing, we provide evidence that the theoretical bounds for this combination of material properties are optimal. This has been shown in two dimensions, but not heretofore in three dimensions. Finally, we also show that restricting the design space by enforcing material symmetry by construction does not prevent one from obtaining extremal designs.},
doi = {10.1016/j.eml.2016.06.007},
journal = {Extreme Mechanics Letters},
number = ,
volume = 12,
place = {United States},
year = {2015},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1016/j.eml.2016.06.007

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