Optimality of thermal expansion bounds in three dimensions

Journal Article · Sat Apr 01 00:00:00 EDT 2017 · Extreme Mechanics Letters

DOI:https://doi.org/10.1016/j.eml.2016.06.007· OSTI ID:1302510

Watts, Seth; Tortorelli, Daniel A.

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.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE; Defense Advanced Research Projects Agency (DARPA)
• Grant/Contract Number: AC52-07NA27344
• OSTI ID: 1302510
• Alternate ID(s): OSTI ID: 1400085
• Report Number(s): LLNL-JRNL-667959; S2352431616300177; PII: S2352431616300177
• Journal Information: Extreme Mechanics Letters, Journal Name: Extreme Mechanics Letters Vol. 12 Journal Issue: C; ISSN 2352-4316
• Publisher: Elsevier
• Country of Publication: Netherlands
• Language: English

Related Subjects

36 MATERIALS SCIENCE