Statistical Analysis of Microstructures in Materials Science

By J. Ohser, Frank T. Mücklich. 2000

314 citations recorded by the source corpus.

Subfields: Biomedical Engineering, General Materials Science, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/1c67a5a4295b83c9a82ab78c8d540b2f9fea2e7c

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In Biomedical Engineering

In General Materials Science

In Mechanical Engineering

Citations in the corpus

Studies of crack dynamics in clay soil. I. Experimental methods, results and morphological quantification (2005, background): “Ohser and Mücklich (2000) demonstrated that Minkowski numbers can be calculated efficiently from binary images of the structure.”
MULTICLASS PATTERN RECOGNITION OF THE GLEASON SCORE OF PROSTATIC CARCINOMAS USING METHODS OF SPATIAL STATISTICS (2013, methodology): “In this package, the routine ‘Measure2D’ was used, which is based on established algorithms for the estimation of specific intrinsic volumes from digitized binary images in 2D (see Ohser and Mücklich, 2000, section 4.2, pp. 124–133).”
Joint estimators for the specific intrinsic volumes of stationary random sets (2005, methodology): “Other estimation algorithms for specific intrinsic volumes and, in particular, the Euler–Poincaré characteristic have been described e.g. in Ohser and Mücklich [15], Ohser, Nagel and Schladitz [17] [18], Vogel [26].”
Determination of the critical size of a statistical representative volume element (SRVE) for carbon reinforced polymers (2006, methodology): “The position of the fibres is assumed to satisfy the conditions of a hard-core point field or Mathern’s model [30].”
Influence of Conductive Additives and Binder on the Impedance of Lithium-Ion Battery Electrodes: Effect of Morphology (2020, background): “The resulting surface areas [71] for the different 540 CBD morphologies are shown in Figure 5 b).”
Random models versus periodic models for fibre reinforced composites (2006, background): “The position of the fibres is assumed to follow a Poison distribution or a complete spatial random (CSR) pattern, so the distribution of the fibres is produced with the usual random sequential absorption (RSA) algorithm [35,36].”
Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions (2011, methodology): “For the description of microstructure morphology, there exist four basic parameters, see e.g. Ohser and Mucklich [ 19 ].”