Design of materials with extreme thermal expansion using a three-phase topology optimization method

Ole Sigmund, Salvatore Torquato

Research output: Chapter in Book/Report/Conference proceedingConference contribution

18 Scopus citations

Abstract

We show how composites with extremal or unusual thermal expansion coefficients can be designed using a numerical topology optimization method. The composites are composed of two different material phases and void. The optimization method is illustrated by designing materials having maximum thermal expansion, zero thermal expansion, and negative thermal expansion. Assuming linear elasticity, it is shown that materials with effective negative thermal expansion coefficients can be obtained by mixing two phases with positive thermal expansion coefficients and void. We also show that there is no mechanistic relationship between negative thermal expansion and negative Poisson's ratio.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherSociety of Photo-Optical Instrumentation Engineers
Pages52-60
Number of pages9
ISBN (Print)0819424536
StatePublished - Dec 1 1997
EventSmart Structures and Materials 1997: Smart Materials Technologies - San Diego, CA, USA
Duration: Mar 3 1997Mar 4 1997

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume3040
ISSN (Print)0277-786X

Other

OtherSmart Structures and Materials 1997: Smart Materials Technologies
CitySan Diego, CA, USA
Period3/3/973/4/97

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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  • Cite this

    Sigmund, O., & Torquato, S. (1997). Design of materials with extreme thermal expansion using a three-phase topology optimization method. In Proceedings of SPIE - The International Society for Optical Engineering (pp. 52-60). (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 3040). Society of Photo-Optical Instrumentation Engineers.