Finite-Volume Method for Numerical Simulation of Plastic Strain Localization Processes on Two-Dimensional Grids
https://doi.org/10.1134/S2304487X20060061
Abstract
An efficient finite-volumetric scheme has been developed to calculate the processes of formation of adiabatic shear bands. The formation of adiabatic shear bands occurs at high-rate deformations of elastic–plastic materials. Numerical simulation of such processes using Lagrangian methods is associated with a number of problems, the main of which is a strong distortion of the grid when simulating high deformations. Large mesh distortions are decrease accuracy of finite element methods. To keep accuracy it is necessary to make operations, such as re-meshing and re-interpolation of data, which are expensive in terms of performance. To avoid this problem we use Euler's description of motion of an elastic-plastic material. A modification of the well-known hypoelastic Wilkins model has been considered. In this article, we propose a numerical method for modeling high-speed shear deformations on two-dimensional grids. The method is based on a finite-volume, while the Courant–Isaacson–Rees method is used to approximate the solution of the Riemann problem. Then, this method is tested on several test problems suggested by other authors.
Supporting agencies: The work was supported by the Ministry science and higher education of the Russian Federation (draft state task No. 0723-2020-0036)
About the Authors
N. A. Kudryashov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation
Russian Federation
115409
Moscow
R. V. Muratov
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:
Kudryashov N.A., Muratov R.V., Ryabov P.N. Finite-Volume Method for Numerical Simulation of Plastic Strain Localization Processes on Two-Dimensional Grids. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2020;9(6):543-553. (In Russ.) https://doi.org/10.1134/S2304487X20060061
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