EPJ Web Conf.
Volume 221, 2019XXVI Conference on Numerical Methods for Solving Problems in the Theory of Elasticity and Plasticity (EPPS-2019)
|Number of page(s)||8|
|Published online||30 October 2019|
A probabilistic approach to modeling collisions with thin barriers
Research Institute of Applied Mathematics and Mechanics, Tomsk State University, 36, Lenin av., Tomsk, 634050 Russia.
* Corresponding author: email@example.com
Published online: 30 October 2019
In many fracture problems, fragmentation is essentially a probabilistic process, which is determined by the stochastic nature of the distribution of inhomogeneities of the internal structure of material. The probabilistic approach is described, which allows us to model structural heterogeneities of the material in a simple form, practically without any complication of the model and additional experiments. Using experimental data and numerical simulation results, it is shown that the introduction of only one additional parameter (dispersion of the strength properties distribution) into the material model makes it possible to give a probabilistic character to the crack formation process at any scale level, which corresponds to theoretical concepts and experimental data. Distribution of materials strength characteristics (according to the selected distribution law) in the cells of the computational domain is used for initial heterogeneities and materials structure defects modeling. It is shown that the number and size of the “petals” at the penetration of thin barriers depend of the speed of the projectile and the strength characteristics of the barrier.
© The Authors, published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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