TY - GEN

T1 - Design of materials with extreme thermal expansion using a three-phase topology optimization method

AU - Sigmund, Ole

AU - Torquato, Salvatore

PY - 1997/12/1

Y1 - 1997/12/1

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:0031384912

SN - 0819424536

T3 - Proceedings of SPIE - The International Society for Optical Engineering

SP - 52

EP - 60

BT - Proceedings of SPIE - The International Society for Optical Engineering

PB - Society of Photo-Optical Instrumentation Engineers

T2 - Smart Structures and Materials 1997: Smart Materials Technologies

Y2 - 3 March 1997 through 4 March 1997

ER -