Abstract
This chapter evaluates the extent of moduli increase, especially beyond the simple rule-of-mixture mode, for composites consisting of positive and negative Poisson’s ratio phases. Specific topics include fiber composites, laminates, and particle composites. The refined moduli models include correction terms or functions to cater for the increased stiffness.
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References
Chirima GT, Zied KM, Ravirala N, Alderson KL, Alderson A (2009) Numerical and analytical modelling of multi-layer adhesive–film interface systems. Phys Status Solidi B 246(9):2072–2082
Donescu S, Chiroiu V, Munteanu L (2009) On the Young’s modulus of a auxetic composite structure. Mech Res Commun 36(3):294–301
Gorodtsov VA, Lisovenko DS, Lim TC (2018) Three-layered plate exhibiting auxeticity based on stretching and bending modes. Compos Struct 194:643–651
Hashin Z, Shtrikman S (1963) A variational approach to the elastic behavior of multiphase minerals. J Mech Phys Solids 11(2):127–140
Kocer C, McKenzie DR, Bilek MM (2009) Elastic properties of a material composed of alternating layers of negative and positive Poisson’s ratio. Mater Sci Eng A 505(1–2):111–115
Lim TC (2009) Out-of-plane modulus of semi-auxetic laminates. Eur J Mech A Solids 28(4):752–756
Lim TC (2010) In-plane stiffness of semiauxetic laminates. ASCE J Eng Mech 136(9):1176–1180
Lim TC (2013) Corrigendum to “Out-of-plane modulus of semi-auxetic laminates”. Eur J Mech A Solids 37(1):379–380
Lim TC, Acharya UR (2010) Longitudinal modulus of semi-auxetic unidirectional fiber composites. J Reinf Plast Compos 29(10):1441–1445
Lim TC, Acharya UR (2011) Counterintuitive modulus from semi-auxetic laminates. Phys Status Solidi B 248(1):60–65
Liu B, Feng X, Zhang SM (2009) The effective Young’s modulus of composites beyond the Voigt estimation due to the Poisson effect. Compos Sci Technol 69(13):2198–2204
Reuss A (1929) Berechnung der Fließgrenze von Mischkristallen auf Grund der Plastizitätsbedingung für Einkristalle. Zeitschrift für Angewandte Mathematik und Mechanik 9(1):49–58
Voigt W (1889) Über die Beziehung zwischen den beiden Elastizitätskonstanten isotroper Körper. Wied Ann 38:573–589
Voigt W (1910) Lehrbuch der Kristallphysik. Teubner, Berlin
Zhang W, Evans KE (1992) A Fortran program for the design of laminates with required mechanical properties. Comput Struct 45(5–6):919–939
Zhang R, Yeh HL, Yeh HY (1999) A discussion of negative Poisson’s ratio design for composites. J Reinf Plast Compos 18(17):1546–1556
Zhu HX, Fan TX, Zhang D (2015) Composite materials with enhanced dimensionless Young’s modulus and desired Poisson’s ratio. Sci Rep 5:14103
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Lim, TC. (2020). Auxetic Composites with Enhanced Moduli. In: Mechanics of Metamaterials with Negative Parameters. Engineering Materials. Springer, Singapore. https://doi.org/10.1007/978-981-15-6446-8_9
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DOI: https://doi.org/10.1007/978-981-15-6446-8_9
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