Comparison of elastic properties of open-cell metallic biomaterials with different unit cell types

2017 ◽  
Vol 106 (1) ◽  
pp. 386-398 ◽  
Author(s):  
Reza Hedayati ◽  
Mojtaba Sadighi ◽  
Mohammad Mohammadi-Aghdam ◽  
Hossein Hosseini-Toudeshky
Keyword(s):  
Elastic Properties ◽  
Cell Types ◽  
Unit Cell ◽  
Open Cell ◽  
Metallic Biomaterials

The Linear Elastic Properties of Open-Cell Foams

1988 ◽  
Vol 55 (2) ◽  
pp. 341-346 ◽  
Author(s):  
W. E. Warren ◽  
A. M. Kraynik
Keyword(s):  
Young’S Modulus ◽  
Elastic Properties ◽  
Cross Section ◽  
Elastic Constants ◽  
Volume Fraction ◽  
Cellular Materials ◽  
Unit Cell ◽  
Open Cell ◽  
Linear Elastic ◽  
Open Cell Foams

A theoretical model for the linear elastic properties of three-dimensional open-cell foams is developed. We consider a tetrahedral unit cell, which contains four identical half-struts that join at equal angles, to represent the essential microstructural features of a foam. The effective continuum stress is obtained for an individual tetrahedral element arbitrarily oriented with respect to the principal directions of strain. The effective elastic constants for a foam are determined under the assumption that all possible orientations of the unit cell are equally probable in a representative volume element. The elastic constants are expressed as functions of compliances for bending and stretching of a strut, whose cross section is permitted to vary with distance from the joint, so the effect of strut morphology on effective elastic properties can be determined. Strut bending is the primary distortional mechanism for low-density foams with tetrahedral microstructure. For uniform strut cross section, the effective Young’s modulus is proportional to the volume fraction of solid material squared, and the coefficient of proportionality depends upon the specific strut shape. A similar analysis for cellular materials with cubic microstructure indicates that strut extension is the dominant distortional mechanism and that the effective Young’s modulus is linear in volume fraction. Our results emphasize the essential role of microstructure in determining the linear elastic properties of cellular materials and provide a theoretical framework for investigating nonlinear behavior.

Geometry Dependent Effective Elastic Properties of Open-Cell Foams Based on Kelvin Cell Models**

2013 ◽  
Vol 15 (12) ◽  
pp. 1292-1298 ◽  
Author(s):  
Johannes Storm ◽  
Martin Abendroth ◽  
Dongshuang Zhang ◽  
Meinhard Kuna
Keyword(s):  
Elastic Properties ◽  
Cell Models ◽  
Open Cell ◽  
Effective Elastic Properties ◽  
Open Cell Foams

scholarly journals Compressive Behavior of Open-Cell Titanium Foams with Different Unit Cell Geometries

2017 ◽  
Vol 58 (11) ◽  
pp. 1587-1592 ◽  
Author(s):  
Xue-Zheng Yue ◽  
Keiji Matsuo ◽  
Koichi Kitazono
Keyword(s):  
Unit Cell ◽  
Compressive Behavior ◽  
Open Cell

On the Linear Elastic Properties of Regular and Random Open-Cell Foam Models

1997 ◽  
Vol 33 (1) ◽  
pp. 31-54 ◽  
Author(s):  
M. W. D. Van Der Burg ◽  
V. Shulmeister ◽  
E. Van Der Geissen ◽  
R. Marissen
Keyword(s):  
Elastic Properties ◽  
Open Cell ◽  
Linear Elastic ◽  
Open Cell Foam ◽  
Cell Foam

scholarly journals Elastic properties of few unit cell thick superconducting crystals of Bi2Sr2CaCu2O8+δ

2019 ◽  
Vol 115 (14) ◽  
pp. 143102 ◽  
Author(s):  
Sudhir Kumar Sahu ◽  
Digambar Jangade ◽  
Arumugam Thamizhavel ◽  
Mandar M. Deshmukh ◽  
Vibhor Singh
Keyword(s):  
Elastic Properties ◽  
Unit Cell

Elastic properties and phonon conductivities of Ti3Al(C0.5,N0.5)2 and Ti2Al(C0.5,N0.5) solid solutions

2008 ◽  
Vol 23 (6) ◽  
pp. 1517-1521 ◽  
Author(s):  
M. Radovic ◽  
A. Ganguly ◽  
M.W. Barsoum
Keyword(s):  
Elastic Properties ◽  
Solid Solutions ◽  
Room Temperature ◽  
Elastic Moduli ◽  
Unit Cell ◽  
Young’S Moduli ◽  
Temperature Shear ◽  
End Members ◽  
Cell Volumes ◽  
Thermal Conductivities

Herein we compare the lattice parameters, room temperature shear and Young’s moduli, and phonon thermal conductivities of Ti2AlC0.5N0.5 and Ti3Al(C0.5, N0.5)2 solid solutions with those of their end members, namely Ti2AlC, Ti2AlN, Ti3AlC2, and Ti4AlN2.9. In general, the replacement of C by N decreases the unit cell volumes and increases the elastic moduli and phonon thermal conductivities. The increase in the latter two properties, however, is sensitive to the concentrations of defects, most likely vacancies on one or more of the sublattices.

Structure, Process, and Material Influences for 3D Printed Lattices Designed With Mixed Unit Cells

2020 ◽  
Author(s):  
Gabriel Briguiet ◽  
Paul F. Egan
Keyword(s):  
Elastic Modulus ◽  
Mechanical Testing ◽  
Mechanical Response ◽  
Cell Types ◽  
Unit Cell ◽  
Ultraviolet Curing ◽  
Mechanical Responses ◽  
Lattice Design ◽  
Unit Cells ◽  
3D Printed

Abstract Emerging 3D printing technologies are enabling the design and fabrication of novel architected structures with advantageous mechanical responses. Designing complex structures, such as lattices, with a targeted response is challenging because build materials, fabrication process, and topological design have unique influences on the structure’s mechanical response. Changing any factor may have unanticipated consequences, even for simpler lattice structures. Here, we conduct mechanical compression experiments to investigate varied lattice design, fabrication, and material combinations using stereolithography printing with a biocompatible polymer. Mechanical testing demonstrates that a higher ultraviolet curing time increases elastic modulus. Material testing demonstrated that anisotropy does not strongly influence lattice mechanics. Designs were altered by comparing homogenous lattices of single unit cell types and heterogeneous lattices that combine two types of unit cells. Unit cells for heterogeneous structures include a Cube design for a high elastic modulus and Cross design for improved shear response. Mechanical testing of three heterogeneous layouts demonstrated how unit cell organization influences mechanical outcomes, therefore enabling the tuning of an elastic modulus that surpasses the law of averages designed for application-dependent mechanical needs. These findings provide a foundation for linking design, process, and material for engineering 3D printed structures with preferred properties, while also facilitating new directions in design automation and optimization.

scholarly journals On the microstructure of open-cell foams and its effect on elastic properties

2008 ◽  
Vol 45 (7-8) ◽  
pp. 1845-1875 ◽  
Author(s):  
Wen-Yea Jang ◽  
Andrew M. Kraynik ◽  
Stelios Kyriakides
Keyword(s):  
Elastic Properties ◽  
Open Cell ◽  
Open Cell Foams
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