Statistical Methods of Quantitative Assessment of Material Damageability, Their Numerical Implementation and Convergence Analysis
https://doi.org/10.35596/1729-7648-2025-23-6-31-38
Abstract
An analysis of statistical methods used to quantify damageability indicators for solid deformable media is conducted. These indicators include critical volume and integral damageability. The article discusses two algorithms, one based on constructing a regular orthogonal grid over the potentially damaged region, and the other on applying the Monte Carlo method to calculating the multiple integral of the local damageability function. Algorithms for each approach are described, and their convergence is analyzed depending on the number of computational nodes. The local damage function at each point of the material was defined as the ratio of the acting stresses at the point to the ultimate stresses. The effective stresses were calculated using the boundary element method. Parallel computation methods were used in developing the algorithms.
About the Authors
D. E. Marmysh
Belarusian State University
Belarus
Belarus
Marmysh Dzianis Evgenievich, Cand. Sci. (Phys. and Math.), Associate Professor, Associate Professor at Theoretical and Applied Mechanics Department; Deputy Director of the Dalian University of Technology and the Belarusian State University Joint Institute
220030, Minsk, Nezavisimosty Ave., 4
Tel.: +375 29 878-69-16
H. S. Danilava
Belarusian State University
Belarus
Belarus
Student
220030, Minsk, Nezavisimosty Ave., 4
Tel.: +375 29 878-69-16
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Review
For citations:
Marmysh D.E., Danilava H.S. Statistical Methods of Quantitative Assessment of Material Damageability, Their Numerical Implementation and Convergence Analysis. Doklady BGUIR. 2025;23(6):31-38. (In Russ.) https://doi.org/10.35596/1729-7648-2025-23-6-31-38
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