Micromechanical Estimates Compared to FE-Based Methods for Modelling the Behaviour of Micro-Cracked Viscoelastic Materials
Abstract
:1. Introduction
2. Viscoelastic Burgers Model
3. Representation of Cracking in a Viscoelastic Material
3.1. Isotropic Crack Distribution
3.2. Parallel Crack Distribution
4. Numerical Simulations
4.1. Three-Dimensional Microstructures and Meshes
4.2. Transversely Isotropic Case Results
4.3. Isotropic Case Results
5. Discussion
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
References
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Parts | ||||
---|---|---|---|---|
Maxwell | 6.872 | 3.870 | ||
Kelvin | 7.308 | 3.099 |
Mesh 1 | Mesh 2 | Mesh 3 | Mesh 4 | |
---|---|---|---|---|
Number of mesh elements | 0.614 M | 1.115 M | 1.602 M | 2.55 M |
2.9877 (2.45%) | 2.8543 (1.78%) | 2.8941 (0.41%) | ||
1.2299 (4.39%) | 1.2066 (2.41%) | 1.1578 (1.71%) |
Mesh 1 | Mesh 2 | Mesh 3 | Mesh 4 | |
---|---|---|---|---|
Number of mesh elements | 0.675 M | 0.919 M | 1.88 M | 2.88 M |
1.3627 (6.71%) | 1.4053 (3.79%) | 1.4493 (0.78%) | ||
0.8918 (2.27%) | 0.9054 (0.77%) | 0.9089 (0.38%) |
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Abou Chakra, S.; Bary, B.; Lemarchand, E.; Bourcier, C.; Granet, S.; Talandier, J. Micromechanical Estimates Compared to FE-Based Methods for Modelling the Behaviour of Micro-Cracked Viscoelastic Materials. Modelling 2024, 5, 625-641. https://doi.org/10.3390/modelling5020033
Abou Chakra S, Bary B, Lemarchand E, Bourcier C, Granet S, Talandier J. Micromechanical Estimates Compared to FE-Based Methods for Modelling the Behaviour of Micro-Cracked Viscoelastic Materials. Modelling. 2024; 5(2):625-641. https://doi.org/10.3390/modelling5020033
Chicago/Turabian StyleAbou Chakra, Sarah, Benoît Bary, Eric Lemarchand, Christophe Bourcier, Sylvie Granet, and Jean Talandier. 2024. "Micromechanical Estimates Compared to FE-Based Methods for Modelling the Behaviour of Micro-Cracked Viscoelastic Materials" Modelling 5, no. 2: 625-641. https://doi.org/10.3390/modelling5020033