Email this article Computer simulation of microstructures and processes of granular composites fracture taking into account the influence of grain boundaries
- Authors: Mullahmetov M.N.1, Ilinykh A.V.1
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Affiliations:
- Perm State National Research Polytechnical University
- Issue: Vol 27, No 1 (2023)
- Pages: 81-101
- Section: Mechanics of Solids
- URL: https://bakhtiniada.ru/1991-8615/article/view/145891
- DOI: https://doi.org/10.14498/vsgtu1931
- ID: 145891
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Full Text
Abstract
The paper presents the algorithm for computer simulation of polycrystalline material microstructures with explicitly distinguished grain boundaries. The algorithm is based on the procedure of “growing” structure grains from ellipses, the geometric parameters of which can be set according to different laws of statistical distribution. The grain boundaries of the given thickness are formed from the original granular structure by displacing the boundaries inside the grain. The advantage of the presented algorithm is the possibility of obtaining nonlinear grain boundaries of different thicknesses, the width of which can be specified according to various statistical distribution laws. Polycrystalline material microstructure generation results that contain more than 100 structural elements and have a grain boundary fraction of up to 20 % are presented. New data on computer simulation of the deformation process and fracture of simulated granular materials are presented with different ratios of strength characteristics of grains and grain boundaries. It was revealed that, depending on the strength characteristics ratio value, different fracture mechanisms are realized in the material: intercrystalline, transcrystalline, and mixed forms of fracture.
About the authors
Maksim N. Mullahmetov
Perm State National Research Polytechnical University
Author for correspondence.
Email: m.mullahmetov59@gmail.com
ORCID iD: 0000-0002-0884-8327
Laboratory Assistant; Center for Experimental Mechanics
Russian Federation, 614990, Perm, Komsomolskiy pr., 29Artem V. Ilinykh
Perm State National Research Polytechnical University
Email: ilinih@yandex.ru
ORCID iD: 0000-0001-9162-1053
Scopus Author ID: 44761240700
ResearcherId: F-1778-2014
Cand. Techn. Sci.; Center for Experimental Mechanics; Dept. of Experimental Mechanics and Structural Materials Science
Russian Federation, 614990, Perm, Komsomolskiy pr., 29References
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Supplementary files
Supplementary Files
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Figure 1. Result of grain nodes sorting
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Figure 2. Calculation of grain boundary normals
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Figure 3. Offset of the nodal points of the grain boundary (solid line - the original boundary, dashed line - the new boundary)
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Figure 4. Determination of new nodal points of the grain
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Figure 5. Structures no.1 and no.2
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Figure 6. Structures no.3 and no.4
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Figure 7. Structures no.5 and no.6
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Figure 8. Structures no.7 and no.8
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Figure 9. Loading scheme
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Figure 10. Deformation diagram (solid line) and damage accumulation diagram (dashed line)
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Figure 11 (color online). Evolution of structural defects
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Figure 12 (color online). Patterns of structural defects in intercrystalline, transcrystalline and mixed fracture modes: 1) $\sigma_b/\langle\sigma_g\rangle=0.28$, 2) $\sigma_b/\langle\sigma_g\rangle=1$, 3) $\sigma_b/\langle\sigma_g\rangle=2.2$
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Figure 13. Strain diagrams for structures with different ratios of strength characteristics: 1) $\sigma_b/\langle\sigma_g\rangle=0.28$, 2) $\sigma_b/\langle\sigma_g\rangle=1$, 3) $\sigma_b/\langle\sigma_g\rangle=2.2$
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Figure 14. Borders of transition between failure scenarios
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