Application of the Adaptive Mesh Refinement Technique to Study the Plastic Flow Localization Process
https://doi.org/10.1134/S2304487X19040072
Abstract
The process of plastic flow localization in nonpolar elastic–plastic materials subjected to fast shear deformations has been considered. The oxygen free copper and low carbon steel are materials under study. A mathematical model of the processes of plastic flow localization in these materials has been formulated taking into account thermal softening effects. The processes of plastic flow localization are initiated through the uneven initial heating of material. A numerical algorithm based on the finite-difference method has been proposed to perform the numerical simulation of the processed under consideration. In order to optimize the operation of the proposed algorithm, an adaptive mesh refinement technique has been developed. This technique makes it possible to increase the grid resolution in regions of plastic flow localization during the calculation, keeping the accuracy of a numerical simulation on a smaller grid. The algorithm is tested on the problem suggested by other authors and is applied to numerical simulation of multiply ASB formation. The algorithm has demonstrated high performance and accuracy for both problems.
Supporting agencies: The study was carried out with the financial support of the grant of the President of the Russian Federation for state support of young Russian scientists MK-6044.2018.1 and the grant of the RNF 18-11-00209
About the Authors
R. V. Muratov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
N. A. Kudryashov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
P. N. Ryabov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
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Review
For citations:
Muratov R.V., Kudryashov N.A., Ryabov P.N. Application of the Adaptive Mesh Refinement Technique to Study the Plastic Flow Localization Process. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2019;8(4):361-369. (In Russ.) https://doi.org/10.1134/S2304487X19040072
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