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Warianty tytułu
Języki publikacji
Abstrakty
A representative volume element (RVE) is a statistical representation of typical material properties. It should contain enough information on the microstructure thereby be sufficiently smaller than the macroscopic structural dimensions. The paper deals with the numerical calculations of the dimensions of the RVE for a two-phase material microstructure. Two and three dimensional models are taken into consideration. The structure of the samples are developed on the base of randomization of elements belonging to one of the phases. The phases volume share is 50/50%. The following series of the models are analyzed: from 10 x 10 to 100 x 100 elements for 2D samples and from 10 x 10 x 10 to 100 x 100 x 100 elements for 3D samples. The element characteristic dimension is 10 jm. The elastic behavior of the base materials (magnesium and alumina) is taken into account. The quasi-static compression tests of the developed structures are carried out with the use of LS-DYNA computer code. The results are presented as the equivalent Young modulus values and compared to the calculations based on the rule of mixtures. The stabilization of the achieved results allows to assess the dimensions of the RVE for two-phase material with random distribution.
Słowa kluczowe
Wydawca
Czasopismo
Rocznik
Tom
Strony
303--310
Opis fizyczny
Bibliogr. 8 poz., rys.
Twórcy
autor
autor
- Military University of Technology Department of Mechanics and Applied Computer Science Gen. S. Kaliskiego Str. 2, 00-908 Warsaw, Poland phone: +48 22 6837096, +48 22 6839461, fax: +48 22 6839355, dmiedzinska@wat.edu.pl
Bibliografia
- [1] Kutner, R., Sullivan, J. M., Comparing the Weaire-Phelan Equal-Volume Foam to Kelvin’s Foam, pp. 71-80, Taylor & Francis, 1996.
- [2] Li, Y., LeBoeuf, E. J., Basu, P. K., Mahadevan, S., Stochastic Modeling Of The Permeability Of Randomly Generated Porous Media, Advances in Water Resources, Vol. 28, pp. 835-844, 2005.
- [3] Miedzińska D., Szymczyk, W., Numerical and experimental study of real foam microstructure models, Journal of KONES, Vol. 17, No. 2, pp. 309-314, Warszawa 2010.
- [4] Mishnaevsky, Jr L. L., Automatic Voxel-Based Generation Of 3D Microstructural FE Models And Its Application To The Damage Analysis Of Composites, Materials Science and Engineering: A, Vol. 407, pp. 11-23, 2005.
- [5] Niezgoda, T., Szymczyk, W., Małachowski, J., Modelowanie numeryczne mikrostruktury ceramiki, WNT, Warszawa 2005.
- [6] Reiter, T., Dvorak, G. J., Micromechanical models for graded composite materials: II thermomechanical loading, Journal of the Mechanics and Physics of Solids, Vol. 46, pp. 1655-1673, 1998.
- [7] Shan, Z., Gokhale, A. M., Micromechanics Of Complex Three-Dimensional Microstructures, Acta Materialia, Vol. 49, pp. 2001-2015, 2001.
- [8] Węglewski, W., Modelowanie zniszczenia betonu wywołanego korozją siarczanową, Rozprawa doktorska, Instytut Podstawowych Problemów Techniki PAN, Warszawa 2008.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ5-0039-0037