journal article·2011-12

Random geometric graphs for modelling the pore space of fibre-based materials

Ralf Thiedmann, Ingo Manke, Werner Lehnert, Volker Schmidt

Journal of Materials Science· Volume 46· Issue 24
Publisher page

Abstract

A stochastic network model is developed which describes the 3D morphology of the pore space in fibre-based materials. It has the form of a random geometric graph, where the vertex set is modelled by random point processes and the edges are put using tools from graph theory and Markov chain Monte Carlo simulation. The model parameters are fitted to real image data gained by X-ray synchrotron tomography. In particular, they are specified in such a way that the distributions of vertex degrees and edge lengths, respectively, coincide to a large extent for real and simulated data. Furthermore, the network model is used to introduce a morphology-based notion of pores and their sizes. The model is validated by considering physical characteristics which are relevant for transport processes in the pore space, like geometric tortuosity, i.e., the distribution of shortest path lengths through the material relative to its thickness.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Digital Image Processing Techniques · 3D Shape Modeling and Analysis · Composite Material Mechanics

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

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