Testing stereological methods for the estimation of spatial size distributions by means of computer-simulated grain structures
The stereological problem for single phase polyhedral structures is discussed. Modified shape assumptions for the grains lead to improved estimations of the three-dimensional grain size distribution. Thus, the profile shapes carry additional information about the grain size. In contrast to the usual...
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| Veröffentlicht in: | Materials science & engineering. A, Structural materials : properties, microstructure and processing Structural materials : properties, microstructure and processing, 1998-05, Vol.246 (1), p.207-212 |
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| container_title | Materials science & engineering. A, Structural materials : properties, microstructure and processing |
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| creator | Mehnert, K. Ohser, J. Klimanek, P. |
| description | The stereological problem for single phase polyhedral structures is discussed. Modified shape assumptions for the grains lead to improved estimations of the three-dimensional grain size distribution. Thus, the profile shapes carry additional information about the grain size. In contrast to the usual method of estimating the size distribution of the grains a new technique is proposed, exploiting size and shape information of the profiles observed in planar sections. The proposed methods are compared with the solution of the classical Wicksell corpuscle problem. For this reason, 3D microstructures are analyzed which have been simulated using the Monte Carlo method (or Q-state Potts model) of isothermal grain growth. |
| doi_str_mv | 10.1016/S0921-5093(97)00716-8 |
| format | Article |
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| ispartof | Materials science & engineering. A, Structural materials : properties, microstructure and processing, 1998-05, Vol.246 (1), p.207-212 |
| issn | 0921-5093 1873-4936 |
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| source | Elsevier ScienceDirect Journals |
| subjects | Cross-disciplinary physics: materials science rheology Exact sciences and technology Grain growth Materials science Monte Carlo simulation Particle systems Phase diagrams and microstructures developed by solidification and solid-solid phase transformations Physics Size distribution Stereology |
| title | Testing stereological methods for the estimation of spatial size distributions by means of computer-simulated grain structures |
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