The effective behavior of composite materials is of great interest in materials science. The properties of such a material at the macroscale can be directly coupled to the properties of the material at the microscale. The random distribution of microscopic phases can be simulated using models of stochastic geometry.
Random, two-dimensional, two-phase microstructures were constructed by stochastic simulation using the planar Boolean model.
An extensive study was conducted to relate the effective hyperelastic material behavior to the stochastic parameters of the Boolean model and the physical parameters of the microstructure.
Well-known approaches to determine the size of the representative volume element were adapted for this context and their results were compared.
| Identifer | oai:union.ndltd.org:DRESDEN/oai:qucosa:de:qucosa:85509 |
| Date | 27 October 2023 |
| Creators | Brändel, Matthias |
| Contributors | Rheinbach, Oliver, Stoyan, Dietrich, Technische Universität Bergakademie Freiberg |
| Source Sets | Hochschulschriftenserver (HSSS) der SLUB Dresden |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, doc-type:doctoralThesis, info:eu-repo/semantics/doctoralThesis, doc-type:Text |
| Rights | info:eu-repo/semantics/openAccess |
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