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2020 | OriginalPaper | Chapter

11. Negative Thermal Expansion

Author : Prof. Dr. Teik-Cheng Lim

Published in: Mechanics of Metamaterials with Negative Parameters

Publisher: Springer Singapore

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Abstract

This chapter reviews the various 2D NTE systems, including those constructed from bimaterial strips, laminates (of various stiffness disparity), trusses (of triangular cells, Y-shaped elements, and Hoberman circle), meshes, rigid unit modes, and ring-rod assemblies (both 2D and 3D). Finally, a few examples of 3D NTE structures are briefly mentioned.

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previous chapter Auxetic Membranes
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Literature
Ai L, Gao XL (2018) Three-dimensional metamaterials with a negative Poisson’s ratio and a non-positive coefficient of thermal expansion. Int J Mech Sci 135:101–113
Attfield MP, Sleight AW (1998) Exceptional negative thermal expansion in AlPO4–17. Chem Mater 10(7):2013–2019
Auray M, Quarton M, Leblanc M (1995) Zirconium tungstate. Acta Crystallographica C 51(11):2210–2213
Cabras L, Brun M, Misseroni D (2019) Micro-structured medium with large isotropic negative thermal expansion. Proc Roy Soc A 475(2232):20190468
Chu CN, Saka N, Suh NP (1987) Negative thermal expansion ceramics: a review. Mater Sci Eng 95:303–308
Dove MT, Welche PRL, Heine V (1998) Negative thermal expansion in beta-quartz. Phys Chem Miner 26(1):63–77
Evans JSO, Hanson JC, Sleight AW (1998) Room-temperature superstructure of ZrV2O7. Acta Crystallographica B 54(6):705–713
Evans JSO, Jorgensen JD, Short S, David WIF, Ibberson RM, Sleight AW (1999) Thermal expansion in the orthorhombic γ phase of ZrW2O8. Phy Rev B 60(21):14643–14648
Fisher DJ (2018) Negative thermal expansion materials. Materials Research Forum LLC, Millersville
Gere JM (2001) Mechanics of materials, 5th edn. Nelson Thones Ltd, Cheltenham
Graham J, Wadsley AD, Weymouth JH, Williams LS (1959) A new ternary oxide, ZrW2O8. J Am Ceram Soc 42(11):570–570
Grima JN, Farrugia PS, Gatt R, Zammit V (2007) A system with adjustable positive or negative thermal expansion. Proc Roy Soc A 463(2082):1585–1596
Grima JN, Oliveri L, Ellul B, Gatt R, Attard D, Cicala G, Recca G (2010) Adjustable and negative thermal expansion from multilayered systems. Phys Status Solidi RRL 4(5–6):133–135
Grima JN, Bajada M, Attard D, Dudek KK, Gatt R (2015) Maximizing negative thermal expansion via rigid unit modes: a geometry-based approach. Proc Roy Soc A 471(2179):20150188
Ha CS, Hestekin E, Li J, Plesha ME, Lakes RS (2015) Controllable thermal expansion of large magnitude in chiral negative Poisson’s ratio lattices. Phys Status Solidi B 252(7):1431–1434
Ha CS, Plesha ME, Lakes RS (2017) Simulations of thermoelastic triangular cell lattices with bonded joints by finite element analysis. Extreme Mech Lett 12:101–107
Hummel FA (1948) Thermal expansion properties of natural Lithia minerals. Foote Prints 20:3–11
Hummel FA (1951) Thermal expansion properties of some synthetic lithia minerals. J Am Ceram Soc 34:235–239
Khosrovani K, Sleight AW, Vogt T (1997) Structure of ZrV2O7 from −263 to 470 °C. J Solid State Chem 132(2):355–360
Korthuis V, Khosrovani N, Sleight AW, Roberts N, Dupree R, Warren WW (1995) Negative thermal expansion and phase transitions in the ZrV2 − xPxO7 series. Chem Mater 7(2):412–417
Lakes R (1996) Cellular solid structures with unbounded thermal expansion. J Mater Sci Lett 15(6):475–477
Lakes R (2007) Cellular solids with tunable positive or negative thermal expansion of unbounded magnitude. Appl Phys Lett 90(22):221905
Li Y, Chen Y, Li T, Cao S, Wang L (2018) Hoberman-sphere-inspired lattice metamaterials with tunable negative thermal expansion. Compos Struct 189:586–597
Lightfoot P, Woodcock DA, Maple MJ, Villaescusa LA, Wright PA (2001) The widespread occurrence of negative thermal expansion in zeolites. J Mater Chem 11(1):212–216
Lim TC (2005) Anisotropic and negative thermal expansion behavior in a cellular microstructure. J Mater Sci 40(12):3275–3277
Lim TC (2010) Preliminary assessment of a multifunctional potential energy function. Mol Phys 108(12):1589–1597
Lim TC (2011) Coefficient of thermal expansion of stacked auxetic and negative thermal expansion laminates. Phys Status Solidi B 248(1):140–147
Lim TC (2012) Negative thermal expansion structures constructed from positive thermal expansion trusses. J Mater Sci 47(1):368–373
Lim TC (2013) Negative thermal expansion in transversely isotropic space frame trusses. Phys Status Solidi B 250(10):2062–2069
Lim TC (2017) Auxetic and negative thermal expansion structure based on interconnected array of rings and sliding rods. Phys Status Solidi B 254(12):1600775
Lim TC (2019a) A 2D auxetikos system based on interconnected shurikens. SN Appl Sci 1(11):1383
Lim TC (2019b) 2D metamaterial with in-plane positive and negative thermal expansion and thermal shearing based on interconnected alternating biomaterials. Mater Res Express 6(11):115804
Lim TC (2019c) A class of shape-shifting composite metamaterial honeycomb structures with thermally-adaptive Poisson’s ratio signs. Compos Struct 226:111256
Lim TC (2019d) Composite metamaterial with sign-switchable coefficients of hygroscopic, thermal and pressure expansions. Adv Compos Hybrid Mater 2(4):657–669
Lim TC (2019e) A composite metamaterial with sign switchable elastic and hygrothermal properties induced by stress direction and environmental change reversals. Compos Struct 220:185–193
Lim TC (2019f) Composite microstructures with Poisson’s ratio sign switching upon stress reversal. Compos Struct 209:34–44
Lim TC (2019g) Metamaterials with Poisson’s ratio sign toggling by means of microstructural duality. SN Appl Sci 1(2):176
Lim TC (2020a) Metacomposite with auxetic and in situ sign reversible thermal expansivity upon temperature fluctuation. Compos Commun 19:30–36
Lim TC (2020b) Composite metamaterial square grids with sign-flipping expansion coefficients leading to a type of Islamic design. SN Appl Sci 2(5):918
Lim TC (2020c) Metacomposite structure with sign-changing coefficients of hygrothermal expansions inspired by Islamic motif. Compos Struct 251:112660
Lind C (2012) Two decades of negative thermal expansion research: Where do we stand? Materials 5(6):1125–1154
Mary TA, Evans JSO, Vogt T, Sleight AW (1996) Negative thermal expansion from 0.3 to 1050 Kelvins in ZrW2O8. Science 272(5258):90–92
Nye JF (1957) Physical properties of crystals. Clarendon Press, Oxford, UK
Raminhos JS, Borges JP, Velhinho A (2019) Development of polymeric anepectic meshes: auxetic metamaterials with negative thermal expansion. Smart Mater Struct 28(4):045010
Rees DWA (1990) The mechanics of solids and structures. McGraw-Hill, Maidenhead
Scheel K (1907a) Versuche über die Ausdehnung fester Körper, insbesondere von Quarz in Richtung der Hauptachse, Platin, Palladium und Quarzglas bei der Temperatur der flüssigen Luft. Verh Dtsch Phys Ges 9:3–23
Scheel K (1907b) Über die ausdehnung des quarzglases. Verh Dtsch Phys Ges 9:719–721
Schapery RA (1968) Thermal expansion coefficients of composite materials based on energy principles. J Compos Mater 2(3):380–404
Sleight AW (1995) Thermal contraction. Endeavour 19(2):64–68
Sleight AW (1998a) Compounds that contract on heating. Inorg Chem 37(12):2854–2860
Sleight (1998b) Isotropic negative thermal expansion. Ann Rev Mater Sci 28:29–43
Takenaka K (2018) Progress of research in negative thermal expansion materials: paradigm shift in the control of thermal expansion. Front Chem 6:267
Tao JZ, Sleight AW (2003) The role of rigid unit modes in negative thermal expansion. J Solid State Chem 173(2):442–448
Timoshenko SP (1925) Analysis of bi-metal thermostats. J Opt Soc Am 11(3):233–235
Withers RL, Evans JSO, Hanson JC, Sleight AW (1998) An in-situ temperature dependent electron and X-ray diffraction study of the structural phase transitions in ZrV2O7. J Solid State Chem 137(1):161–167
Woodcock DA, Lightfoot P, Villaescusa LA, Diaz-Cabanas MJ, Camblor MA, Engberg D (1999) Negative thermal expansion in the siliceous zeolites chabazite and ITQ-4: a neutron powder diffraction study. Chem Mater 11(9):2508–2514
Wu L, Li B, Zhou J (2016) Isotropic negative thermal expansion metamaterials. ACS Appl Mater Interfaces 8(27):17721–17727
Xu H, Pasini D (2016) Structurally efficient three-dimensional metamaterials with controllable thermal expansion. Sci Rep 6:34924
Metadata
Title
Negative Thermal Expansion
Author
Prof. Dr. Teik-Cheng Lim
Copyright Year
2020
Publisher
Springer Singapore
Book
Mechanics of Metamaterials with Negative Parameters

Print ISBN: 978-981-15-6445-1

Electronic ISBN: 978-981-15-6446-8

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-981-15-6446-8_11

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