Abstract
The bulk physical properties of composite systems are difficult to predict-even when the properties of the constituent materials in the system are well known. We conducted a finite-element method simulation to examine the inclusion effect by substituting an inclusion phase (second phase) into a host phase (first phase). We have organized the simulation results as a function of the elasticity of host and inclusion phases. In this procedure, special attention was paid to the initial change of elastic constants as the inclusion volume ratio was varied. To accomplish this, we introduced a new parameter Dij defined as the derivatives of the normalized stiffness elastic constant over the inclusion volume ratio. We succeeded in obtaining useful systematic formulations for Dij. These formulations are expected to be applicable to the study of composite systems in many disciplines, such as geophysics, mechanics, material engineering, and biology. The present results provide much more effective constraints on the physical properties of composite systems, like rocks, than traditional methods, such as the Voigt-Reuss bounds.
| Original language | English |
|---|---|
| Article number | 012055 |
| Journal | Journal of Physics: Conference Series |
| Volume | 215 |
| DOIs | |
| Publication status | Published - 2010 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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The effect of inclusions on macroscopic composite elasticity : A systematic finite-element analysis of constituent and bulk elastic properties. / Yoneda, Akira; Sohag, F. H.
In: Journal of Physics: Conference Series, Vol. 215, 012055, 2010.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The effect of inclusions on macroscopic composite elasticity
T2 - A systematic finite-element analysis of constituent and bulk elastic properties
AU - Yoneda, Akira
AU - Sohag, F. H.
PY - 2010
Y1 - 2010
N2 - The bulk physical properties of composite systems are difficult to predict-even when the properties of the constituent materials in the system are well known. We conducted a finite-element method simulation to examine the inclusion effect by substituting an inclusion phase (second phase) into a host phase (first phase). We have organized the simulation results as a function of the elasticity of host and inclusion phases. In this procedure, special attention was paid to the initial change of elastic constants as the inclusion volume ratio was varied. To accomplish this, we introduced a new parameter Dij defined as the derivatives of the normalized stiffness elastic constant over the inclusion volume ratio. We succeeded in obtaining useful systematic formulations for Dij. These formulations are expected to be applicable to the study of composite systems in many disciplines, such as geophysics, mechanics, material engineering, and biology. The present results provide much more effective constraints on the physical properties of composite systems, like rocks, than traditional methods, such as the Voigt-Reuss bounds.
AB - The bulk physical properties of composite systems are difficult to predict-even when the properties of the constituent materials in the system are well known. We conducted a finite-element method simulation to examine the inclusion effect by substituting an inclusion phase (second phase) into a host phase (first phase). We have organized the simulation results as a function of the elasticity of host and inclusion phases. In this procedure, special attention was paid to the initial change of elastic constants as the inclusion volume ratio was varied. To accomplish this, we introduced a new parameter Dij defined as the derivatives of the normalized stiffness elastic constant over the inclusion volume ratio. We succeeded in obtaining useful systematic formulations for Dij. These formulations are expected to be applicable to the study of composite systems in many disciplines, such as geophysics, mechanics, material engineering, and biology. The present results provide much more effective constraints on the physical properties of composite systems, like rocks, than traditional methods, such as the Voigt-Reuss bounds.
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UR - http://www.scopus.com/inward/citedby.url?scp=77951889537&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/215/1/012055
DO - 10.1088/1742-6596/215/1/012055
M3 - Article
VL - 215
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
SN - 1742-6588
M1 - 012055
ER -