Abstract
A quantitative measure of anisotropic phase connectivity is investigated. The Isotropic stereological parameter, contiguity, is extended to characterize the anisotropic phase connectivity. Two mathematical representations for characterizing the anisotropic contiguity are presented, one based on C 0 piecewise polynomials and the other on tensorial expansions. The anisotropic contiguities for several virtual specimens having different phase morphologies are investigated with the aid of a numerical probe that collects statistical data on phase connectivity. The mechanical responses of different specimens with the same phase volume fraction but different contiguity distributions are contrasted. Finally, contiguity changes due to the mechanical deformation are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 203-223 |
| Number of pages | 21 |
| Journal | Modelling and Simulation in Materials Science and Engineering |
| Volume | 13 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2005 Mar 1 |
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All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Materials Science(all)
- Condensed Matter Physics
- Mechanics of Materials
- Computer Science Applications
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Representation of anisotropic phase morphology. / Han, Tong Seok; Dawson, Paul R.
In: Modelling and Simulation in Materials Science and Engineering, Vol. 13, No. 2, 01.03.2005, p. 203-223.Research output: Contribution to journal › Article
TY - JOUR
T1 - Representation of anisotropic phase morphology
AU - Han, Tong Seok
AU - Dawson, Paul R.
PY - 2005/3/1
Y1 - 2005/3/1
N2 - A quantitative measure of anisotropic phase connectivity is investigated. The Isotropic stereological parameter, contiguity, is extended to characterize the anisotropic phase connectivity. Two mathematical representations for characterizing the anisotropic contiguity are presented, one based on C 0 piecewise polynomials and the other on tensorial expansions. The anisotropic contiguities for several virtual specimens having different phase morphologies are investigated with the aid of a numerical probe that collects statistical data on phase connectivity. The mechanical responses of different specimens with the same phase volume fraction but different contiguity distributions are contrasted. Finally, contiguity changes due to the mechanical deformation are presented.
AB - A quantitative measure of anisotropic phase connectivity is investigated. The Isotropic stereological parameter, contiguity, is extended to characterize the anisotropic phase connectivity. Two mathematical representations for characterizing the anisotropic contiguity are presented, one based on C 0 piecewise polynomials and the other on tensorial expansions. The anisotropic contiguities for several virtual specimens having different phase morphologies are investigated with the aid of a numerical probe that collects statistical data on phase connectivity. The mechanical responses of different specimens with the same phase volume fraction but different contiguity distributions are contrasted. Finally, contiguity changes due to the mechanical deformation are presented.
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U2 - 10.1088/0965-0393/13/2/004
DO - 10.1088/0965-0393/13/2/004
M3 - Article
AN - SCOPUS:14844282057
VL - 13
SP - 203
EP - 223
JO - Modelling and Simulation in Materials Science and Engineering
JF - Modelling and Simulation in Materials Science and Engineering
SN - 0965-0393
IS - 2
ER -