Numerical method for finding the effective Young’s modulus of composite powder materials
https://doi.org/10.67268/1812-5093-2026-34-1-96-117
EDN: YYKKVT
Abstract
The article focuses on the development of a computational procedure for determining the effective Young’s modulus of composite powder materials based on the analysis of their microstructure. The proposed approach includes constructing a two-dimensional geometric model of the composite microstructure as a periodicity cell, formulating a mathematical model that simulates a physical tension–compression test of a representative volume element, and performing numerical implementation using the control volume method on structured quadrilateral grids. The properties of the matrix and inclusions, their volume fractions, and morphology are taken into account. The effective elastic modulus is calculated based on an energy balance: the work done by external forces is equated to the sum of the strain energies of all grid cells. The results of computational experiments are presented for copper-matrix composites with tungsten carbide and Teflon inclusions, as well as for NiCr-based gradient coatings with TiC additives. It is shown that the procedure allows predicting the variation of the elastic modulus as a function of the filler volume fraction and can be used in the design of layered wear-resistant coatings.
About the Authors
G. F. Gromyko
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Minsk
A. N. Aulas
Institute of Mathematics of the National Academy of Sciences of Belarus
Belarus
Belarus
Minsk
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Review
For citations:
Gromyko G.F., Aulas A.N. Numerical method for finding the effective Young’s modulus of composite powder materials. Proceedings of the Institute of Mathematics of the NAS of Belarus. 2026;34(1):96-117. (In Russ.) https://doi.org/10.67268/1812-5093-2026-34-1-96-117. EDN: YYKKVT
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