Mechanical properties of open-cell rhombic dodecahedron cellular structures

Babaee, Sahab; Jahromi, Babak Haghpanah; Ajdari, Amin; Nayeb-Hashemi, Hamid; Vaziri, Ashkan

doi:10.1016/j.actamat.2012.01.052

Cited by 163 publications

(85 citation statements)

References 55 publications

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“…The volume of the six intersecting struts (each strut having a length of /2 l ) is 23 3 12.0404 r l r  …”

Section: Apparent Densitymentioning

confidence: 99%

“…Several researchers have studied the relationship between the micro-architecture and mechanical properties of porous structures based on different types of unit cells including those based on the cube [3,[19][20][21], rhombic dodecahedron [1,3,[22][23][24], tetrakaidecahedrons [25,26], Weaire-Phelan [27][28][29], 3D-Kagome [30,31], Pyramidal [30], and diamond [3,32] unit cells. For some of those unit cells, analytical relationships have been obtained for prediction of the mechanical properties of porous structures given the design of their microarchitecture.…”

Section: Introductionmentioning

confidence: 99%

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Mechanics of additively manufactured porous biomaterials based on the rhombicuboctahedron unit cell

Hedayati

Sadighi

Aghdam

et al. 2016

Journal of the Mechanical Behavior of Biomedical Materials

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“…The volume of the six intersecting struts (each strut having a length of /2 l ) is 23 3 12.0404 r l r  …”

Section: Apparent Densitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Mechanics of additively manufactured porous biomaterials based on the rhombicuboctahedron unit cell

Hedayati

Sadighi

Aghdam

et al. 2016

Journal of the Mechanical Behavior of Biomedical Materials

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“…6). The elastic moduli obtained from theory (Babaee et al, 2012), our FEM code, and experimental tests (Amin ) are compared in Fig. 7.…”

Section: Resultsmentioning

confidence: 99%

“…The rhombic dodecahedron structure has been shown to be a proper unit cell geometry for being used in bone substitute implants. Analytical relationships for elastic properties of this type of structure can be found in (Babaee et al, 2012) and its complete experimental stress-strain curve data can be found in (Amin .…”

Section: Introductionmentioning

confidence: 99%

A micromechanical approach to numerical modeling of yielding of open-cell porous structures under compressive loads

Hedayati

Sadighi

2016

jtam

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Today, interconnected open-cell porous structures made of titanium and its alloys are replacing the prevalent solid metals used in bone substitute implants. The advent of additive manufacturing techniques has enabled manufacturing of open-cell structures with arbitrary micro-structural geometry. In this paper, rhombic dodecahedron structures manufactured using SLM technique and tested by Amin Yavari et al. (2014) are investigated numerically using ANSYS and LS-DYNA finite element codes for the modeling of the elastic and postyielding behavior of the lattice structure, respectively. Implementing a micro-mechanical approach to the numerical modeling of the yielding behavior of open-cell porous materials is the main contribution of this work.One of the advantages of micro-mechanical modeling of an open-cell structure is that, in contrast to the macro-mechanical finite element modeling, it is not necessary to obtain several material constants for different foam material models through heavy experimental tests. The results of the study showed that considering the irregularity in defining the cross-sections of the struts decreases both the yielding stress and densification strain of the numerical structure to the values obtained from the experimental tests. Moreover, the stress-strain curve of the irregular structure was much smoother in two points of yielding and densification, which is also observable in experimental plots. Considering the irregularity in the structure also decreased the elastic modulus of the lattice structure by about 20-30%. The post-densification modulus was more influenced by irregularity as it was decreased by more than 50%. In summary, it was demonstrated that using beam elements with variable cross-sections for constructing open-cell biomaterials could result in numerical results sufficiently close to the experimental data.

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“…Vaziri and collaborators focused on metallic sandwich panels with different kinds of cellular cores such as hexagonal honeycombs [18], square honeycombs [19][20][21][22][23], open-cell rhombic dodecahedron cellular structures [24] and pyramidal truss cores [25][26][27][28], and explored some of their multifunctional applications, such as energy absorptions [27], sustaining shock loadings [19][20][21] and underwater impulsive loadings [22][23].…”

Section: Introductionmentioning

confidence: 99%

Elastic and transport properties of the tailorable multifunctional hierarchical honeycombs

Sun

Chen

Pugno

2014

Composite Structures

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Compared with triangular, square and Kagome honeycombs, hexagonal honeycombs have lower inplane stiffness, which restricts their multifunctional applications. Focusing on this problem, in this paper, we analytically study the in-plane elastic and transport properties of a kind of hexagonal honeycombs, i.e., the multifunctional hierarchical honeycomb (MHH). The MHH structure is developed by replacing the solid cell walls of the original regular hexagonal honeycomb (ORHH) with three kinds of equal mass isotropic honeycomb sub-structures possessing hexagonal, triangular and Kagome lattices. Formulas to derive the effective in-plane elastic properties of the regular hexagonal honeycombs at all densities are developed for analyzing the MHH structure. Resultsshow that the hexagonal sub-structure does not improve much the elastic properties of the MHH structure. However, the triangular and Kagome sub-structures result in a substantial improvement by 1 magnitude or even 3 orders of magnitude on the Young's and shear moduli of the MHH structure, depending on the cell-wall thickness-to-length ratio of the ORHH. Besides, the effective in-plane conductivities (or dielectric constants) of the three different MHH structures are also studied. The presented theory could be used in designing new tailorable hierarchical honeycomb structures for multifunctional applications. Keywords:In-plane effective moduli; In-plane effective conductivity (or dielectric constants);Original regular hexagonal honeycomb (ORHH); Multifunctional hierarchical honeycomb (MHH).

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Mechanical properties of open-cell rhombic dodecahedron cellular structures

Cited by 163 publications

References 55 publications

Mechanics of additively manufactured porous biomaterials based on the rhombicuboctahedron unit cell

Mechanics of additively manufactured porous biomaterials based on the rhombicuboctahedron unit cell

A micromechanical approach to numerical modeling of yielding of open-cell porous structures under compressive loads

Elastic and transport properties of the tailorable multifunctional hierarchical honeycombs

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