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

International Journal of Mechanics and Materials in Design

Volumn 9, Issue 3, 2013, Pages 213-225

  Lehman, Jeremy ^a   Lakes, Roderic ^a  

^a University of Wisconsin Madison   (United States)

Author keywords

Composite structures; Honeycombs; Lattices; Stiffness optimization; Zero thermal expansion

Indexed keywords

ENGINEERING APPLICATIONS; HIERARCHICAL MATERIALS; HONEYCOMBS; SECTION OPTIMIZATIONS; STIFFNESS OPTIMIZATIONS; THERMAL EXPANSION COEFFICIENTS; TWO-DIMENSIONAL LATTICES; ZERO THERMAL EXPANSION;

COMPOSITE STRUCTURES; CRYSTAL LATTICES; EXPANSION; HONEYCOMB STRUCTURES; INTERFACES (MATERIALS); MATERIALS; OPTIMIZATION; STIFFNESS;

THERMAL EXPANSION;

EID: 84881480083     PISSN: 15691713     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10999-012-9210-x     Document Type: Article

References (17)

1. ASM International Materials Properties Database Committee: Thermal Properties of Metals. ASM International, Materials Park (2002). ASM Ready Reference
2. Cribb, J.L.: Shrinkage and thermal expansion of a two-phase material. Nature 220, 576-577 (1968)
3. Gibson, L.J.; Ashby, M.F.: Cellular Solids, vol. 2. Cambridge University Press, Cambridge (1997)
4. Hashin, Z.: Analysis of composite materials - a survey. J. Appl. Mech. 50, 481-505 (1983)
5. Hunt, H.E.M.: The mechanical strength of ceramic honeycomb monoliths as determined by simple experiments. Chem. Eng. Res. Des. A71, 257-266 (1993)
6. Lakes, R.S.: Cellular solid structures with unbounded thermal expansion. J. Mater. Sci. Lett. 15, 475-477 (1996)
7. Lakes, R.S.: Solids with tunable positive or negative thermal expansion of unbounded magnitude. Appl. Phys. Lett. (2007). doi: 10.1063/1.2743951
8. Lehman, J.J.; Lakes, R.S.: Stiff lattices with zero thermal expansion. J. Intell. Mater. Syst. Struct. 23, 1263-1268 (2012)
9. Milton, G.: The Theory of Composites. Cambridge University Press, Cambridge (2002)
10. Nelder, J.A.; Mead, R.: A simplex method for function minimization. Comput. J. 7, 308-313 (1965)
11. Paul, B.: Prediction of elastic constants of multiphase materials. Trans. Metall. Soc. AIME 218, 36-41 (1960)
12. Sokolnikoff, I.S.: Mathematical Theory of Elasticity, vol. 2. Krieger, Malabar (1983)
13. 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)
14. Timoshenko, S.P.: Analysis of bi-metal thermostats. J. Opt. Soc. Am. 11, 233-235 (1925)
15. 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)
16. Woolger, C.: Invar nickel-iron alloy: 100 years. Mater. World 4, 332-333 (1996)
17. Young, W.C.: Roark's Formula's for Stress and Strain, vol. 6. McGraw-Hill, New York (1989)