TY - JOUR
T1 - Optimality of thermal expansion bounds in three dimensions
AU - Watts, Seth
AU - Tortorelli, Daniel A.
N1 - Funding Information:
This work was performed under the auspices of the US Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344 . Support from DARPA’s Materials with Controlled Microstructural Architecture program in the Defense Sciences Office, Program Manager Dr. Judah Goldwasser, is gratefully acknowledged.
Publisher Copyright:
© 2016 Elsevier Ltd
PY - 2017/4/1
Y1 - 2017/4/1
N2 - 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. We also show that restricting the design space by enforcing material symmetry by construction does not prevent one from obtaining extremal designs.
AB - 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. We also show that restricting the design space by enforcing material symmetry by construction does not prevent one from obtaining extremal designs.
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U2 - 10.1016/j.eml.2016.06.007
DO - 10.1016/j.eml.2016.06.007
M3 - Article
AN - SCOPUS:84979658627
SN - 2352-4316
VL - 12
SP - 97
EP - 100
JO - Extreme Mechanics Letters
JF - Extreme Mechanics Letters
ER -