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

Ole Sigmund; Salvatore Torquato

doi:10.1117/12.267131

14 February 1997 Design of materials with extreme thermal expansion using a three-phase topology optimization method

Ole Sigmund, Salvatore Torquato

Proceedings Volume 3040, Smart Structures and Materials 1997: Smart Materials Technologies; (1997) https://doi.org/10.1117/12.267131
Event: Smart Structures and Materials '97, 1997, San Diego, CA, United States

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.

Citation Download Citation

Ole Sigmund and Salvatore Torquato "Design of materials with extreme thermal expansion using a three-phase topology optimization method", Proc. SPIE 3040, Smart Structures and Materials 1997: Smart Materials Technologies, (14 February 1997); https://doi.org/10.1117/12.267131

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