Stiff lattices with zero thermal expansion and enhanced stiffness via rib cross section optimization

International Journal of Mechanics and Materials in Design - Tập 9 Số 3 - Trang 213-225 - 2013
Jeremy Lehman1, Roderic S. Lakes2
1Engineering Mechanics Program, University of Wisconsin-Madison, 1500 Engineering Drive, Madison, WI, 53706-1687, USA
2Department of Engineering Physics, Materials Science Department and Rheology Research Center, University of Wisconsin-Madison, 1500 Engineering Drive, Madison, WI, 53706-1687, USA

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ASM International Materials Properties Database Committee: Thermal Properties of Metals. ASM International, Materials Park (2002). ASM Ready Reference

Cribb, J.L.: Shrinkage and thermal expansion of a two-phase material. Nature 220, 576–577 (1968)

Gibson, L.J., Ashby, M.F.: Cellular Solids, vol. 2. Cambridge University Press, Cambridge (1997)

Hashin, Z.: Analysis of composite materials—a survey. J. Appl. Mech. 50, 481–505 (1983)

Hunt, H.E.M.: The mechanical strength of ceramic honeycomb monoliths as determined by simple experiments. Chem. Eng. Res. Des. A71, 257–266 (1993)

Lakes, R.S.: Cellular solid structures with unbounded thermal expansion. J. Mater. Sci. Lett. 15, 475–477 (1996)

Lakes, R.S.: Solids with tunable positive or negative thermal expansion of unbounded magnitude. Appl. Phys. Lett. (2007). doi: 10.1063/1.2743951

Lehman, J.J., Lakes, R.S.: Stiff lattices with zero thermal expansion. J. Intell. Mater. Syst. Struct. 23, 1263–1268 (2012)

Milton, G.: The Theory of Composites. Cambridge University Press, Cambridge (2002)

Nelder, J.A., Mead, R.: A simplex method for function minimization. Comput. J. 7, 308–313 (1965)

Paul, B.: Prediction of elastic constants of multiphase materials. Trans. Metall. Soc. AIME 218, 36–41 (1960)

Sokolnikoff, I.S.: Mathematical Theory of Elasticity, vol. 2. Krieger, Malabar (1983)

Steeves, C.A., e Lucato, S.L., He, M., et al.: Concepts for structurally robust materials that combine low thermal expansion with high stiffness. J. Mech. Phys. Solids 55, 1803–1822 (2007)

Timoshenko, S.P.: Analysis of bi-metal thermostats. J. Opt. Soc. Am. 11, 233–235 (1925)

Wang, Y.C., Lakes, R.S.: Extreme thermal expansion, piezoelectricity, and other coupled field properties in composites with a negative stiffness phase. J. Appl. Phys. 90, 6458–6465 (2001)

Woolger, C.: Invar nickel-iron alloy: 100 years. Mater. World 4, 332–333 (1996)

Young, W.C.: Roark’s Formula’s for Stress and Strain, vol. 6. McGraw-Hill, New York (1989)