Abstract
The negative thermal expansivity of a type of space frame structure is investigated herein. On the basis of space frame structure consisting of tetrahedral representative volume elements, a volumetric thermal strain, and a volumetric coefficient of thermal expansion (CTE) models are developed in this article for a special category of tetrahedron that is made from two types of materials, each for the three apex and the three base rods. Based on these models, the conditions for attaining negative volumetric thermal strain and negative coefficient of volumetric thermal expansion are established. Plotted results reveal a trend in which the extent of negative expansivity is increased for lower apex-to-base rod length and CTE ratios, and higher base rod CTE.
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Chen FC, Choy CL, Young K (1980) J Polym Sci 2 Polym Phys 18:2313
Choy CL, Chen FC, Young K (1981) J Polym Sci 2 Polym Phys 19:335
Chen FC, Choy CL, Wong SP, Young K (1981) J Polym Sci 2 Polym Phys 19:971
Das D, Jacobs T, Barbour LJ (2010) Nat Mater 9:36
Miller W, Smith CW, Dooling P, Burgess AN, Evans KE (2010) Compos Sci Technol 70:318
Marinkovic BA, Ari M, Jardim PM, de Avillez RR, Rizzo R, Ferreira FF (2010) Thermochim Acta 499:48
Sun Y, Wang C, Wen Y, Chu L, Nie M, Liu F (2010) J Am Ceram Soc 93:650
Grigoriadis C, Haase N, Butt HJ, Mullen K, Floudas C (2010) Adv Mater 22:1403
Liu FS, Chen XP, Xie HX, Ao WQ, Li JQ (2010) Acta Phys Sinica 59:3350
Peng J, Liu XZ, Guo FL, Han SB, Liu YT, Chen DF, Hu Z (2010) Mater High Temp 27:151
Garcia-Moreno O, Fernandez A, Khainakov S, Torrecillas R (2010) Scr Mater 63:170
Yang J, Yang Y, Liu Q, Xu G, Cheng X (2010) J Mater Sci Technol 26:665
Sun Y, Wang C, Wen Y, Chu L, Pan H, Nie M, Tang M (2010) J Am Ceram Soc 93:2178
Evers J, Beck W, Gobel M, Jakob S, Mayer P, Oehlinger G, Rotter M, Klapoike TM (2010) Angewandte Chemie Int Ed 49:5677
Lock N, Wu Y, Christensen M, Cameron LJ, Peterson VK, Bridgeman AJ, Kepert CJ, Iversen BB (2010) J Phys Chem C 114:16181
Keen DA, Dove MT, Evans JSO, Goodwin AL, Peters L, Tucker MG (2010) J Phys Condens Mat 22:404202
Hibble SJ, Wood GB, Bilbe EJ, Pohl AH, Tucker MG, Hannon AC, Chippindale AM (2010) Zeit Kristall 225:457
Senyshyn A, Schwarz B, Lorenz T, Adamiv VT, Burak YV, Banys J, Grigalaitis R, Vasylechko L, Ehrenberg H, Fuess H (2010) J Appl Phys 108:093524
Greve BK, Martin KL, Lee PL, Chupas PJ, Chapman KW, Wilkinson AP (2010) J Am Chem Soc 132:15496
Peng J, Liu XZ, Guo FL, Han SB, Liu YT, Chen DF, Hu ZB (2010) Int J Miner Metall Mater 17:786
Zhou Y, Neiman A, Adams S (2011) Phys Status Solid B 248:130
Yang J, Liu Q, Zang C, Cheng X (2011) Adv Mater Res 117:245
Morimoto Y, Matsuda T, Fuchikawa R, Abe Y, Kamioka H (2011) J Phys Soc Jpn 80:024603
Chu X, Huang R, Yang H, Wu Z, Lu J, Zhou Y, Li L (2011) Mater Sci Eng A 528:3367
Miller W, Mackenzie DS, Smith CW, Evans KE (2008) Mech Mater 40:351
Miller W, Smith CW, Mackenzie DS, Evans KE (2009) J Mater Sci 44:5441. doi:10.1007/s10853-009-3692-4
Grima JN, Farrugia PS, Gatt R, Zammit V (2007) J Phys Soc Jpn 76:025001
Grima JN, Gatt R, Ellul B (2009) J Chin Ceram Soc 37:743
Grima JN, Oliveri L, Ellul B, Gatt R, Attard D, Cicala G, Recca G (2010) Phys Status Solid Rapid Res Lett 4:133
Lim TC (2011) Phys Status Solid B 248:140
Grima JN, Ellul B, Attard D, Gatt R, Attard M (2010) Compos Sci Technol 70:2248
Vandeperre LJ, Howlett A, Clegg WJ (2002) In: CIMTEC 2002: International conference on modern materials and technologies, vol 4, Florence
Vandeperre LJ, Clegg WJ (2004) In: Furuya Y, Quandt E, Zhang Q, Inoue K (eds) Materials and devices for smart systems, vol 785. Materials Research Society, Warrendale, p 389
Smith CW, Miller W, Mackenzie DS, Evans KE (2005) Mechanism for negative thermal expansion and its links to negative Poisson’s ratio, presented at the 2nd International Workshop on Auxetic and Related Systems, Poznan
Grima JN, Farrugia PS, Gatt R, Zammit V (2007) Proc Royal Soc A 463:1585
Fortes AD, Suard E, Knight KS (2011) Science 331:742
Grima JN, Attard D, Gatt R (2011) Science 331:687
Grima JN, Attard D, Caruana-Gauci R, Gatt R (2011) Scr Mater. doi:10.1016/j.scriptamat.2011.06.011 (in press)
Sleight AW (1998) Curr Opin Solid State Mater Sci 3:128
Evans JSO, Hanson JC, Sleight AW (1998) Acta Cryst B54:705
Withers RL, Evans SO, Hanson J, Sleight AW (1998) J Solid State Chem 137:161
Li J, Yokochi A, Amos TG, Sleight AW (2002) Chem Mater 14:2602
Goodwin AL, Calleja M, Conterio MJ, Dove MT, Evans JSO, Keen DA, Peters L, Tucker MG (2008) Science 319:794
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Lim, TC. Negative thermal expansion structures constructed from positive thermal expansion trusses. J Mater Sci 47, 368–373 (2012). https://doi.org/10.1007/s10853-011-5806-z
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DOI: https://doi.org/10.1007/s10853-011-5806-z