年間 6 号発行
ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352
Indexed in
APPLICATION OF THE MULTISCALE FEM TO THE DETERMINATION OF MACROSCOPIC DEFORMATIONS CAUSED BY DISSOLUTION PRECIPITATION CREEP
要約
Our previous work proposes a micromechanical model for dissolution-precipitation creep, an elasto-viscoplastic process supposed to be one of the main reasons for the tectonic motion of earth plates in the subduction zone. While the model in its original form enables the simulation of polycrystals with a limited number of crystals, the topic of the present contribution is its extension to simulating structures on a much larger spatial scale. For this purpose, a homogenization technique known as the multiscale finite element method is used. Here, the behavior of a heterogeneous body is simulated by solving two boundary value problems: one related to the structural level and one related to the representative volume element. The coupling of scales is established by introducing the Hill macrohomogeneity condition requiring the equality of the macropower with the volume average of the micropower. The method allows the simulating of various tasks at both levels. The examples concerned with simulating the tension tests of a macroscopic plate with different types of the microstructure are presented.
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Klinge S., Aygün S., Gilbert R. P., Holzapfel G. A., Multiscale FEM simulations of cross-linked actin network embedded in cytosol with the focus on the filament orientation, International Journal for Numerical Methods in Biomedical Engineering, 34, 7, 2018. Crossref
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Moyeda Arturo, Fish Jacob, Multiscale analysis of solid, waffle, ribbed and hollowcore reinforced concrete slabs, Computer Methods in Applied Mechanics and Engineering, 348, 2019. Crossref