Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs

Zhu, Hanxing; Hobdell, J. R.; Windle, A. H.

doi:10.1016/s0022-5096(00)00046-6

Cited by 196 publications

(118 citation statements)

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“…2 presents the resulting distributions of strut length and strut inclination angle relative to X axis. As expected for stochastic honeycombs [19] the strut length follows a bimodal distribution. 1 The inclination angle is uniformly (randomly) distributed since any reference direction would be arbitrary with respect to the generated structure.…”

Section: Geometrysupporting

confidence: 75%

“…Due to this systematic variation of E h =E b , all fixed ratios formerly suggested by Gibson and Ashby [17], Silva et al [18], Zhu et al [19] (see Appendix A for details) are only rather crude approximations of the full-field simulation results for E h =E b . Euler beam theory applied to perfect hexagonal honeycombs (Eq.…”

Section: Resultsmentioning

confidence: 99%

“…Lattice unit cells are displayed in the lab coordinate system of Fig. 1 is the standard deviation [19]. Above probability density integrates to a value of unity for non-negative strut lengths, since the sum of the two distributions is symmetric around l ¼ 0.…”

Section: Analytical Approach: Uniform Force or Uniform Strainmentioning

confidence: 99%

“…This paper is organized as follows: Section 2 describes the numerical and analytical approaches, the honeycomb structures, and the crystallographic orientation of single crystals considered in this study. Appendix A briefly summarizes the approaches proposed in previous studies [17][18][19]. Section 3 presents and discusses the results with a summary given in Section 4.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Analytical bounds of in-plane Young’s modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures

Eisenlohr

Shanthraj

et al. 2015

Computational Materials Science

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Section: Geometrysupporting

confidence: 75%

Section: Resultsmentioning

confidence: 99%

Section: Analytical Approach: Uniform Force or Uniform Strainmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analytical bounds of in-plane Young’s modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures

Eisenlohr

Shanthraj

et al. 2015

Computational Materials Science

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“…At the end phase of its decline close to the ground, landing loading has bad impacts on airdropped supply and equipment [1,2]. Therefore, the design and choice of energy-absorption materials to reduce the loading impacts and energy absorption of the airdropped packages, has become an increasingly important research area [3][4][5][6][7][8]. Foam and honeycomb-structure paperboard are widely used in today's protective packaging materials [9][10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Research on Static Compression Test of Polyurethane Foam/Honeycomb Paperboard Composite Material

Ju¹,

Ji²,

Lei³

2015

TOMSJ

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Abstract:To study the mechanical behavior and energy absorption ability of polyurethane foam/honeycomb paperboard composite material under the static compression test.The static compression tests of polyurethane foam/honeycomb paperboard composite material are conducted by electronic universal testing machine. The mechanical behavior under the condition of static compression and the factors influencing the composite materials' static cushioning properties were analyzed. Then, a comparison was made based on the energy absorption ability between composite materials and simple materials.The yield stress, strength and other indicators of foam/honeycomb paperboard have doubled the growth after filling polyurethane. The aperture size is the main influencing factor affecting the static cushioning properties of composite material.The energy absorption amount of composite materials is about 1.85 times than the total energy of two simple materials.

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Probing the Effects of Nanoscale Architecture on the Mechanical Properties of Hexagonal Silica/Polymer Composite Thin Films

Kirsch

Richman

et al. 2005

Adv. Funct. Mater.

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We examine the effects of controlling nanoscale architecture on the tensile properties of honeycomb‐structured silica/polymer composite films. The hexagonal films are produced using evaporation‐induced self‐assembly and uniaxially strained using a home‐built tensile testing apparatus. Significant differences in the yield strain, failure strain, and tensile moduli between the axes parallel and perpendicular to the film‐deposition direction are observed for the thinnest films examined and are attributed to anisotropy in the film nanostructure that is further characterized with transmission electron microscopy and atomic force microscopy. For properly oriented composites, these films have tensile moduli comparable to the Young's modulus of bulk silica but exhibit failure strains that are about an order of magnitude larger than those seen in typical bulk‐silica systems. The yielding and failure processes are explored using X‐ray diffraction and optical microscopy and are characterized by irreversible changes in the nanoscale architecture. We show that tuning the nanoscale architecture can provide control over the tensile properties of composites, allowing for materials with combinations of stiffness and elasticity unachievable in the analogous bulk systems.

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Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs

Cited by 196 publications

References 10 publications

Analytical bounds of in-plane Young’s modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures

Analytical bounds of in-plane Young’s modulus and full-field simulations of two-dimensional monocrystalline stochastic honeycomb structures

Research on Static Compression Test of Polyurethane Foam/Honeycomb Paperboard Composite Material

Probing the Effects of Nanoscale Architecture on the Mechanical Properties of Hexagonal Silica/Polymer Composite Thin Films

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