The manufacture and characterization of composite three-dimensional re-entrant auxetic cellular structures made from carbon fiber reinforced polymer

Abstract

In recent years, three-dimensional auxetic structures have attracted great interest. Generally, three-dimensional auxetic structures are of complicate geometries which make them difficult to fabricate, benefiting from the development of additive manufacturing technologies, many three-dimensional auxetic structures can be made from metals or polymers. However, to the authors' knowledge, the additive manufacturing technology of fiber reinforced polymer is not fully developed, and none three-dimensional auxetic structure made from fiber reinforced polymer has been reported before. To integrate the high specific stiffness, high specific strength, and light weight merits of high-performance fiber reinforced polymer composites into three-dimensional auxetic structures with unique properties, research on composite three-dimensional auxetic structures made from fiber reinforced polymer should be conducted. This paper presents the composite three-dimensional re-entrant auxetic structures made from carbon fiber reinforced polymer laminates using an interlocking assembly method. The auxetic nature of the composite structure has been verified by experimental testing and finite element simulations. Based on the finite element models, the dependences of the Poisson's ratio and effective compression modulus of the composite auxetic three-dimensional re-entrant structure on the re-entrant angle have been studied and compared to metal three-dimensional re-entrant structure. A comparative study of the Poisson's ratio and specific stiffness of carbon fiber reinforced polymer composite auxetic structure with the three-dimensional printed polymer and metal auxetic structures in literature has also been conducted.

Keywords

Auxetic cellular structure carbon fiber reinforced polymer manufacture mechanical properties Poisson's ratio

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References

Saxena

Das

Calius

. Three decades of auxetics research-materials with negative Poisson's ratio: a review. Adv Eng Mater 2016; 18: 1847–1870.

Milton

. Composite materials with poisson's ratios close to – 1. J Mech Phys Solids 1992; 40: 1105–1137.

Evans

Alderson

. Auxetic materials: functional materials and structures from lateral thinking!. Adv Mater 2000; 12: 617–628.

Evans

Nkansah

. Molecular network design. Nature 1991; 353: 124.

Lakes

. Foam structures with a negative Poisson's ratio. Science 1987; 235: 1038–1040.

Choi

Lakes

. Non-linear properties of polymer cellular materials with a negative Poisson's ratio. J Mater Sci 1992; 27: 4678–4684.

Lakes

Elms

. Indentability of conventional and negative Poisson's ratio foams. J Compos Mater 1993; 27: 1193–1202.

Alderson

Fitzgerald

Evans

. The strain dependent indentation resilience of auxetic microporous polyethylene. J Mater Sci 2000; 35: 4039–4047.

Allen

Shepherd

Hewage

et al.

Low-kinetic energy impact response of auxetic and conventional open-cell polyurethane foams. Physica Status Solidi B 2015; 252: 1631–1639.

10.

Choi

Lakes

. Fracture toughness of re-entrant foam materials with a negative Poisson's ratio: experiment and analysis. Int J Frac 1996; 80: 73–83.

11.

Scarpa

Ciffo

Yates

. Dynamic properties of high structural integrity auxetic open cell foam. Smart Mater Struct 2004; 13: 49–56.

12.

Alderson

Rasburn

Evans

. Mass transport properties of auxetic (negative Poisson's ratio) foams. Physica Status Solidi B 2007; 244: 817–827.

13.

Grima

Jackson

Alderson

et al.

Do zeolites have negative Poisson's ratios?. Adv Mater 2000; 12: 1912–1918.

14.

Evans

. The design of doubly curved sandwich panels with honeycomb cores. Compos Struct 1991; 17: 95–111.

15.

Liu

. A review on auxetic structures and polymeric materials. Sci Res Essays 2010; 5: 1052–1063.

16.

Liu Q. Literature review: materials with negative Poisson's ratios and potential applications to aerospace and defence, 2006, www.dtic.mil/dtic/tr/fulltext/u2/a460791.pdf.

17.

Yang

J-S

Xiong

et al.

Modal response of all-composite corrugated sandwich cylindrical shells. Compos Sci Technol 2015; 115: 9–20.

18.

Liu

Qiao

Liu

et al.

The compressive responses of glass fiber composite pyramidal truss cores sandwich panel at different temperatures. Compos Part A Appl Sci Manuf 2015; 73: 93–100.

19.

Miller

Hook

Smith

et al.

The manufacture and characterisation of a novel, low modulus, negative Poisson's ratio composite. Compos Sci Technol 2009; 69: 651–655.

20.

Alderson

Coenen

. The low velocity impact response of auxetic carbon fibre laminates. Physica Status Solidi B 2008; 245: 489–496.

21.

Alderson

Simkins

Coenen

et al.

How to make auxetic fibre reinforced composites. Physica Status Solidi B 2005; 242: 509–518.

22.

Herakovich

. Composite laminates with negative through-the-thickness Poisson's ratios. J Compos Mater 1984; 18: 447–455.

23.

Zhang

Yeh

H-L

Yeh

H-Y

. A preliminary study of negative Poisson's ratio of laminated fiber reinforced composites. Journal of Reinf Plast Compos 1998; 17: 1651–1664.

24.

Miller

Ren

Smith

et al.

A negative Poisson's ratio carbon fibre composite using a negative Poisson's ratio yarn reinforcement. Compos Sci Technol 2012; 72: 761–766.

25.

Liu

. A finite element analysis of a 3D auxetic textile structure for composite reinforcement. Smart Mater Struct 2013; 22: 084005.

26.

Jifang

Hong

Lin

. A study on negative Poisson's ratio effect of 3D auxetic orthogonal textile composites under compression. Smart Mater Struct 2017; 26: 065014.

27.

Hou

Neville

Scarpa

et al.

Graded conventional-auxetic Kirigami sandwich structures: flatwise compression and edgewise loading. Compos Part B Eng 2014; 59: 33–42.

28.

Del Broccolo

Laurenzi

Scarpa

. AUXHEX – a Kirigami inspired zero Poisson's ratio cellular structure. Compos Struct 2017; 176: 433–441.

29.

Cicala

Recca

Oliveri

et al.

Hexachiral truss-core with twisted hemp yarns: out-of-plane shear properties. Compos Struct 2012; 94: 3556–3562.

30.

Schwerdtfeger

Schury

Stingl

et al.

Mechanical characterisation of a periodic auxetic structure produced by SEBM. Physica Status Solidi B 2012; 249: 1347–1352.

31.

Yang

Harrysson

West

et al.

Mechanical properties of 3D re-entrant honeycomb auxetic structures realized via additive manufacturing. Int J Solids Struct 2015; 69–70: 475–490.

32.

Andreassen

Lazarov

Sigmund

. Design of manufacturable 3D extremal elastic microstructure. Mech Mater 2014; 69: 1–10.

33.

Buckmann

Stenger

Kadic

et al.

Tailored 3D mechanical metamaterials made by dip-in direct-laser-writing optical lithography. Adv Mater 2012; 24: 2710–2714.

34.

Shen

Zhou

Huang

et al.

Simple cubic three-dimensional auxetic metamaterials. Physica Status Solidi B 2014; 251: 1515–1522.

35.

Evans

Nkansah

Hutchinson

. Auxetic foams: modelling negative Poisson's ratios. Acta Metall et Mater 1994; 42: 1289–1294.

36.

Wang

X-T

X-W

. Interlocking assembled 3D auxetic cellular structures. Mater Des 2016; 99: 467–476.

37.

Wang

X-T

Wang

X-W

et al.

Mechanical properties of 3D re-entrant auxetic cellular structures. Int J Mech Sci 2017; 131–132: 396–407.

38.

ASTM D3039/D3039M-08:2008. Standard test method for tensile properties of polymer matrix composite materials.

39.

ASTM D6641/D6641M-09:2009. Standard test method for compressive properties of polymer matrix composite materials using a combined loading compression (CLC) test fixture.

40.

ASTM D3518/D3518M-13:2013. Standard test method for in-plane shear response of polymer matrix composite materials by tensile test of a ± 45° laminate.

41.

Systemes D. Abaqus 6.12 user's manual. Dassault Systemes, Providence, RI, USA. 2012.

42.

Xia

Song

Sun

et al.

Mechanical properties of 3D isotropic anti-tetrachiral metastructure. Physica Status Solidi B 2017, pp. 1700343.

43.

Chen

Zhang

et al.

Experimental and numerical analysis of a novel three-dimensional auxetic metamaterial. Physica Status Solidi B 2016; 253: 1565–1575.

44.

Ren

Shen

Ghaedizadeh

et al.

Experiments and parametric studies on 3D metallic auxetic metamaterials with tuneable mechanical properties. Smart Mater Struct 2015; 24: 095016.

45.

Franziska

Fuad

Lucas

et al.

Fabrication and characterisation of a fully auxetic 3D lattice structure via selective electron beam melting. Smart Mater Struct 2017; 26: 025013.

46.

Schwerdtfeger

Heinl

Singer

et al.

Auxetic cellular structures through selective electron-beam melting. Physica Status Solidi B 2010; 247: 269–272.

47.

Yang L. Structural design, optimization and application of 3D re-entrant auxetic structures. PhD Thesis, North Carolina State University, 2012.