Mechanical Behavior of Extruded Prismatic Cellular Metals

Wang, A.-J.; Kumar, Raj

doi:10.1080/15376490590928534

Cited by 28 publications

(16 citation statements)

References 37 publications

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“…Square, triangular and hexagonal lattices are common topologies encountered in physical models and engineering applications and their static behavior is discussed in Dempsey et al (2005), Gibson and Ashby (1997), Wang et al (2005), Wang and McDowell (2004), among others. The equivalent mechanical properties for such topologies in terms of geometric parameters are listed in Table 2.…”

Section: Comparison Of Chiral and Traditional Latticesmentioning

confidence: 99%

Elasto-static micropolar behavior of a chiral auxetic lattice

Spadoni

Ruzzene

2012

Journal of the Mechanics and Physics of Solids

293

158

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a b s t r a c tAuxetic materials expand when stretched, and shrink when compressed. This is the result of a negative Poisson's ratio n. Isotropic configurations with n % À1 have been designed and are expected to provide increased shear stiffness G. This assumes that Young's modulus and n can be engineered independently. In this article, a micropolarcontinuum model is employed to describe the behavior of a representative auxetic structural network, the chiral lattice, in an attempt to remove the indeterminacy in its constitutive law resulting from n ¼ À1. While this indeterminacy is successfully removed, it is found that the shear modulus is an independent parameter and, for certain configurations, it is equal to that of the triangular lattice. This is remarkable as the chiral lattice is subject to bending deformation of its internal members, and thus is more compliant than the triangular lattice which is stretch dominated. The derived micropolar model also indicates that this unique lattice has the highest characteristic length scale l c of all known lattice topologies, as well as a negative first Lamé constant without violating bounds required for thermodynamic stability. We also find that hexagonal arrangements of deformable rings have a coupling number N ¼1. This is the first lattice reported in the literature for which couple-stress or Mindlin theory is necessary rather than being adopted a priori.

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Section: Comparison Of Chiral and Traditional Latticesmentioning

confidence: 99%

Elasto-static micropolar behavior of a chiral auxetic lattice

Spadoni

Ruzzene

2012

Journal of the Mechanics and Physics of Solids

293

158

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“…Therefore, stretching is taken to be dominant and bending is neglected under uniaxial loading. However, under shear loading, cell walls are assumed to deform due to bending (Wang et al 2005). Under these assumptions, previously derived formulae of elastic parameters in the transverse plane are listed in Table 2.…”

Section: Square Rvementioning

confidence: 99%

“…Table 2. Effective elastic moduli, shear modulus and Poisson's ratios as functions of cell wall slenderness t h , where 2 t t = in Survey I and II , Wang et al 2005. Survey I Survey II (Wang et al 2005) …”

Section: Square Rvementioning

confidence: 99%

“…Key advantages are to be able to introduce all necessary geometrical and mechanical information related to different scales of the material and use different mechanical models, e.g. beam and plate models, in material sub-scales , Gibson and Ashby 1999, Wang et al 2005. Especially, with the introduction of powerful computers in recent years, computational homogenization tools have been widely used for material characterization of complex structures such as wood and wood products, e.g.…”

Section: Introductionmentioning

confidence: 99%

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Shape and cell wall slenderness effects on the stiffness of wood cell aggregates in the transverse plane

Karakoç

2016

Maderas, Cienc. tecnol.

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The present study investigates a homogenization method in the framework of finite element method to determine the effective stiffness properties of wood cell aggregates in the transverse plane. For this purpose, square and regular hexagonal representative volume elements are chosen to mimic the wood cells. Thereafter, simulation experiments are conducted to understand how different cell shapes and cell wall slenderness, which is cell wall thickness to height ratio, affect the stiffness properties in the transverse plane. The comparison between analytical and computational homogenization results show that square cells have higher elastic moduli than the ones computed for hexagonal cells whereas shear modulus of both cell shapes have more or less the similar values. This can be explained due to the effective deformation mechanisms under different loading conditions. Thus, the present study provides an effective stiffness estimation tool and insight for wood cell aggregates.

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“…Furthermore, a Korean research group evaluated a composite train carbody composed of a bodyshell made of aluminum honeycomb sandwich structure with woven fabric carbon/epoxy face, inner reinforced frames based on mild steel and an underframe manufactured from stainless steel [2]. The Lightweight Structure's group at the Georgia Institute of Technology developed a powder metallurgical technology that allows the fabrication of thin-walled metal honeycomb structures by using the conventional extrusion method and a thermochemical reduction process converting oxide precursor material to metallic products [3][4][5][6][7][8]. Under quasi-static compression, in the out-of-plane direction, square-celled LCAs ("Linear Cellular Alloys") made of maraging steel revealed mean collapse strengths from 375 to 551 MPa [7].…”

Section: Introductionmentioning

confidence: 99%

Microstructure and mechanical properties of cold extruded, cellular TRIP-matrix composite structures under quasi-static and dynamic compression

Krüger¹,

Ehinger²,

Ullrich³

et al. 2010

WIT Transactions on the Built Environment

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Novel composites based on austenitic stainless TRIP steel AISI 304 as a matrix with reinforcements of MgO partially stabilized zirconia (Mg-PSZ) were developed. The presented honeycomb materials were produced by a modified ceramic extrusion technology that is composed of mixing precursor powders with binders, paste preparation and plastic molding, finally debinding and sintering. After processing, sintered products have a global density in the range of 2.7 to 3.0 g cm -3 and a wall thickness of 260 µm. These square-celled honeycomb samples are characterized by optical and scanning electron microscopy before and after quasi-static or dynamic compressive deformation, indicating a noticeable deformation-induced martensite formation. The mechanical properties of samples with up to 10% Mg-PSZ are compared with zirconia-free samples in terms of compression tests at strain rates in the range of 10 -3 to 10 2 s -1 . The honeycomb composite materials exhibit an increased work hardening and also extraordinary high specific energy absorption per unit mass and unit volume, respectively. According to improved property-weight-ratio and excellent crashworthiness, such filigree cellular structures can be beneficial as

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Mechanical Behavior of Extruded Prismatic Cellular Metals

Cited by 28 publications

References 37 publications

Elasto-static micropolar behavior of a chiral auxetic lattice

Elasto-static micropolar behavior of a chiral auxetic lattice

Shape and cell wall slenderness effects on the stiffness of wood cell aggregates in the transverse plane

Microstructure and mechanical properties of cold extruded, cellular TRIP-matrix composite structures under quasi-static and dynamic compression

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