Linear elastic properties of anisotropic open-cell foams

2001 ◽  
Vol 110 (1) ◽  
pp. 635-637 ◽  
Author(s):  
S. Sahraoui ◽  
E. Mariez ◽  
M. Etchessahar
Keyword(s):  
Elastic Properties ◽  
Open Cell ◽  
Linear Elastic ◽  
Open Cell Foams

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

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 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

scholarly journals Elastic Properties of Open-Cell Foams with Tetrakaidecahedral Cells Using Finite Element Analysis

AIAA Journal ◽  
2010 ◽  
Vol 48 (4) ◽  
pp. 818-828 ◽  
Author(s):  
Prasanna Thiyagasundaram ◽  
Bhavani V. Sankar ◽  
Nagaraj K. Arakere
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Elastic Properties ◽  
Element Analysis ◽  
Open Cell ◽  
Open Cell Foams

Effects of cell irregularity on the elastic properties of open-cell foams

2000 ◽  
Vol 48 (20) ◽  
pp. 4893-4900 ◽  
Author(s):  
H.X Zhu ◽  
J.R Hobdell ◽  
A.H Windle
Keyword(s):  
Elastic Properties ◽  
Open Cell ◽  
Open Cell Foams
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