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Numerical and analytical simulation of multilayer cellular scaffolds

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Abstract

Due to the advent and maturity of the additive manufacturing technology, it is possible now to construct complex microstructures with unprecedented accuracy. In addition, to the influence of network unit cell types and porosities in recent years, researchers have studied the number of scaffold layers fabricated by additive manufacturing on mechanical properties. The objective of this paper is to assess the numerical and analytical simulations of the multilayer scaffolds. For this purpose, 54 different regular scaffolds with a unit cell composed of multilayer scaffolds were simulated under compressive loading and compared with the analytical relationships based on the Euler–Bernoulli and Timoshenko's beam theories where the most appropriate theory was chosen for different unit cell sizes. Then, five types of two- and three-layer scaffolds of titanium alloy were simulated based on the previous data numerically and analytically, and the young's modulus and yield strength of the scaffolds were compared with the experimental results, where a good convergence between the results of the finite element model and previous experimental results were observed. Furthermore, the axial forces of the unit cell struts, in the transverse section, stress distribution, and displacement of the nodes in the scaffolds, were investigated, which was not possible experimentally.

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Abbreviations

E :

Scaffold young modulus (GPa)

E s :

Material young modulus (GPa)

l :

Length unit cell

r :

Radial of cell strut

ρ :

Apparent density

σ y :

Scaffold yield strength (MPa)

σ ys :

Material yield strength (MPa)

ν s :

Material Poisson's ratio

i :

Layer number

s:

Scaffolding material

t:

Total scaffold

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Hamid Reza Khanaki & Sadegh Rahmati

  2. Department of Biomedical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Mohammad Nikkhoo

  3. Biomechanics Group, Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran

    Mohammad Haghpanahi

  4. Department of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

    Javad Akbari

Authors
  1. Hamid Reza Khanaki
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  2. Sadegh Rahmati
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  3. Mohammad Nikkhoo
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  4. Mohammad Haghpanahi
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Correspondence to Sadegh Rahmati.

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Technical Editor: Paulo de Tarso Rocha de Mendonça, Ph.D..

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Khanaki, H.R., Rahmati, S., Nikkhoo, M. et al. Numerical and analytical simulation of multilayer cellular scaffolds. J Braz. Soc. Mech. Sci. Eng. 42, 268 (2020). https://doi.org/10.1007/s40430-020-02335-0

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