Mechanical properties of regular porous biomaterials made from truncated cube repeating unit cells: Analytical solutions and computational models

Hedayati, Reza; Sadighi, Mojtaba; Aghdam, M.M.; Zadpoor, Amir A.

doi:10.1016/j.msec.2015.11.001

Cited by 124 publications

(72 citation statements)

References 40 publications

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“…An additional way of validating the analytical solutions obtained in this study is to see whether they approach those of the cubic and octahedron (or truncated cube) lattice strucutre when α respsetively appraoches infinity and zero. Comparions between the analytical solutions obtained here and those of the above-mentioned porous strucutres [37,38] showed that the mechanical properties of the rhombicuboctahedron porous strucutre calculated using the relationships obtained here approach those of the above-mentioned lattice strucutres when α approaches its lower and upper limits ( Figure 17 and Figure 18). This further confirms the accuracy of the analytical solutions derived in the current study and shows that these relationships are, indeed, generalizations of the analytical solutions obtained for at least three other types of lattice strucutres.…”

Section: The Effects Of  Valuementioning

confidence: 64%

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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Section: The Effects Of  Valuementioning

confidence: 64%

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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“…Porous structures with controllable unit cell type and size are among the many different structures that are currently being created using additive manufacturing methods. In recent years, the most focus has been on production and analysis of 3D structures with different unit cell geometries for biomedical applications, such as diamond [34,35], rhombic dodecahedron [36], truncated cuboctahedron [2], rhombicuboctahedron [37], truncated cube [3], etc. Production of honeycombs using additive manufacturing techniques [38,39] has the advantage of providing freedom in choosing the unit cell type.…”

Section: Discussionmentioning

confidence: 99%

“…Therefore, several 3D unit cell types have been suggested and tested mechanically and biologically when used as the micro-architecture of bone replacing scaffolds [2,3]. Singh showed that in some areas (where bone is very dense), cancellous bone microarchitecture resembles that of a hexagonal honeycomb with thick cell walls [4].…”

Section: Introductionmentioning

confidence: 99%

Mechanical Properties of Additively Manufactured Thick Honeycombs

et al. 2016

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Honeycombs resemble the structure of a number of natural and biological materials such as cancellous bone, wood, and cork. Thick honeycomb could be also used for energy absorption applications. Moreover, studying the mechanical behavior of honeycombs under in-plane loading could help understanding the mechanical behavior of more complex 3D tessellated structures such as porous biomaterials. In this paper, we study the mechanical behavior of thick honeycombs made using additive manufacturing techniques that allow for fabrication of honeycombs with arbitrary and precisely controlled thickness. Thick honeycombs with different wall thicknesses were produced from polylactic acid (PLA) using fused deposition modelling, i.e., an additive manufacturing technique. The samples were mechanically tested in-plane under compression to determine their mechanical properties. We also obtained exact analytical solutions for the stiffness matrix of thick hexagonal honeycombs using both Euler-Bernoulli and Timoshenko beam theories. The stiffness matrix was then used to derive analytical relationships that describe the elastic modulus, yield stress, and Poisson’s ratio of thick honeycombs. Finite element models were also built for computational analysis of the mechanical behavior of thick honeycombs under compression. The mechanical properties obtained using our analytical relationships were compared with experimental observations and computational results as well as with analytical solutions available in the literature. It was found that the analytical solutions presented here are in good agreement with experimental and computational results even for very thick honeycombs, whereas the analytical solutions available in the literature show a large deviation from experimental observation, computational results, and our analytical solutions.

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“…These methods include macro-structural modeling of foam structures using volumetric elements and with reduced mechanical properties, using Voronoi diagrams to create the micro-structure of irregular foams, creation of a specific regular unit cell (such as cube [1], truncated cube [2], truncated octahedron [3], Weaire-Phelan [4,5], etc.) and tessellating it in space to have a lattice structure representing a foam structure, micro-structural modeling of the micro-geometry of the foams based on computed tomography (CT) images, etc.…”

Section: Introductionmentioning

confidence: 99%

“…One of the main applications of metal foams can be the manufacturing of bone substitute implants [2,9,10]. It is usually preferred to use highly porous metal foams to manufacture orthopedic load-bearing implants instead of stiff metal ones.…”

Section: Introductionmentioning

confidence: 99%

CT-Based Micro-Mechanical Approach to Predict Response of Closed-Cell Porous Biomaterials to Low-Velocity Impact

et al. 2018

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Abstract:In this study, a new numerical approach based on CT-scan images and finite element (FE) method has been used to predict the mechanical behavior of closed-cell foams under impact loading. Micro-structural FE models based on CT-scan images of foam specimens (elastic-plastic material model with material constants of bulk aluminum) and macro-mechanical FE models (with crushable foam material model with material constants of foams) were constructed. Several experimental tests were also conducted to see which of the two noted (micro-or macro-) mechanical FE models can better predict the deformation and force-displacement curves of foams. Compared to the macro-structural models, the results of the micro-structural models were much closer to the corresponding experimental results. This can be explained by the fact that the micro-structural models are able to take into account the interaction of stress waves with cell walls and the complex pathways the stress waves have to go through, while the macro-structural models do not have such capabilities. Despite their high demand for computational resources, using micro-scale FE models is very beneficial when one needs to understand the failure mechanisms acting in the micro-structure of a foam in order to modify or diminish them.

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Mechanical properties of regular porous biomaterials made from truncated cube repeating unit cells: Analytical solutions and computational models

Cited by 124 publications

References 40 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

Mechanical Properties of Additively Manufactured Thick Honeycombs

CT-Based Micro-Mechanical Approach to Predict Response of Closed-Cell Porous Biomaterials to Low-Velocity Impact

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