Composites with auxetic inclusions showing both an auxetic behavior and enhancement of their mechanical properties
Source abstract
Abstract
Abstract Composite materials made of auxetic inclusions and giving rise overall to negative Poisson’s ratio are considered, adopting a two-steps micromechanical approach for the calculation of their effective mechanical properties. The inclusions consist of periodic beam lattices, whose equivalent mechanical properties are calculated by a discrete homogenization scheme in a first step. The hexachiral and hexagonal reentrant lattices are considered as representative of the two main deformation mechanisms responsible for auxeticity. In a second step, the equivalent properties of the composite are calculated from numerical homogenization using the finite element method. It is shown that both an auxetic behavior and enhanced moduli can be obtained for not too slender micro-beams.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Cellular and Composite Structures · Polymer composites and self-healing · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (40)
Show source-provided references
1. Auxetic materials: avoiding the shrink10.1038/425667a ↗
2. Elasticity of agr-cristobalite: a silicon dioxide with a negative Poisson’s ratio10.1126/science.257.5070.650 ↗
3. Chelikowsky negative Poisson ratios in crystalline SiO2 from first-principles calculations10.1038/358222a0 ↗
4. Rotation and dilation deformation mechanisms for auxetic behaviour in the alpha-cristobalite tetrahedral framework structure10.1007/s002690100209 ↗
5. On the origin of auxetic behaviour in the silicate alpha-cristobalite10.1039/b508098c ↗
6. Do zeolites have negative Poisson’s ratios?10.1002/1521-4095(200012)12:24<1912::AID-ADMA1912>3.0.CO;2-7 ↗
7. Sanchez-Valle · J Appl Phys · 2005 · 9810.1063/1.2014932 ↗
8. Natrolite: a zeolite with negative Poisson’s ratios10.1063/1.2718879 ↗
9. On the atomic level deformations in the auxetic zeolite natrolite10.1002/pssb.200777703 ↗
10. The manufacture and characterisation of a novel, low modulus, negative Poisson’s ratio composite10.1016/j.compscitech.2008.12.016 ↗
11. Microporous materials with negative Poisson’s ratios. I. Microstructure and mechanical properties10.1088/0022-3727/22/12/012 ↗
12. The fabrication of microporous polyethylene having a negative Poisson’s ratio10.1016/0032-3861(92)90294-7 ↗
13. Auxetic polypropylene fibres: Part 1 – Manufacture and characterization10.1179/146580102225006495 ↗
14. Toward negative Poisson ratio polymers through molecular design10.1021/ma970787m ↗
15. Morphology and deformation behaviour of a liquid crystalline polymer containing laterally attached pentaphenyl rods10.1002/macp.200400302 ↗
16. On the mechanical properties and auxetic potential of various organic networked polymers10.1080/08927020802512187 ↗
17. Review on auxetic materials10.1023/B:JMSC.0000026928.93231.e0 ↗
18. Foam structures with a negative Poisson’s ratio10.1126/science.235.4792.1038 ↗
19. Scarpa F, Remillat C, Landi PF, Tomlinson G. Damping modelization of auxetic foams, 2000. Proc SPIE 3989, vol. 336; 2000. http://dx.doi.org/10.1117/12.384574.10.1117/12.384574 ↗
20. Novel honeycombs with auxetic behaviour10.1016/j.actamat.2005.02.006 ↗
21. Transverse elastic shear of auxetic multi re-entrant honeycombs10.1016/j.compstruct.2009.03.009 ↗
22. Properties of a chiral honeycomb with a Poisson’s ratio of – 110.1016/S0020-7403(96)00025-2 ↗
23. Dirrenberger J, Forest S, Jeulin D, Colin C. Homogenization of periodic auxetic materials. Procedia Engineering. In: 11th International conference on the mechanical behavior of materials (ICM11). vol. 10; 2011. p. 1847–52.10.1016/j.proeng.2011.04.307 ↗
24. Effective elastic properties of composites of ellipsoids (ii). Nearly disk- and needle-like inclusions. Physica A: Statistical and theoretical
25. Effective elastic properties of composites of ellipsoids (i). Nearly spherical inclusions. Physica A: Statistical and theoretical
26. Auxeticity windows for composites10.1016/S0378-4371(98)00220-9 ↗
27. On the capability of micromechanics models to capture the auxetic behavior of fibers/particles reinforced composite materials10.1016/j.compstruct.2011.07.006 ↗
28. Non-homogeneous media and vibration theory
29. Bakhvalov · 1989
30. Three-fold symmetry restrictions on two-dimensional micropolar material10.1016/S0997-7538(02)01236-6 ↗
31. Mourad M, Caillerie D, Raoult A. In computational fluid and solid mechanics. Klaus-Jürgen Bathe. Proceeding, vol. 2; 2003. p. 1779–81.10.1016/B978-008044046-0/50434-6 ↗
32. Homogenization of discrete media, 199810.1051/jp4:1998839 ↗
33. Modelling effective properties of composite materials using the inclusion concept. General considerations
34. Discrete homogenization of architectured materials: Implementation of the method in a simulation tool for the systematic prediction of their effective elastic properties
35. Assidi M, Dos Reis F, Ganghoffer J-F. Equivalent mechanical properties of biological membranes from lattice homogenization. J Mech Behavior Biomed Mater, in press. http://dx.doi.org/10.1016/j.jmbbm.2011.05.040.10.1016/j.jmbbm.2011.05.040 ↗
36. Equivalent mechanical properties of auxetic lattices from discrete homogenization10.1016/j.commatsci.2011.07.014 ↗
37. Gibson · 1997
38. Average stress in the matrix and effective moduli of randomly oriented composites10.1016/0266-3538(86)90067-9 ↗
39. Effective moduli of random elastic media-unified calculation of bounds and self-consistent values10.1016/0093-6413(77)90061-1 ↗
40. Nemat-Nasser S, Hori M. Micromechanics: overall properties of heterogeneous materials. 2nd ed. North-Holland; 1998.