Crack patterns observed in nature have attracted the
interest of researchers in various fields, and the mechanism of the pattern
formation has been investigated. However, the phenomenon is very complicated,
and many factors affect the process. Therefore, we are motivated to construct a
general simulation code with a simple algorithm. In this study, crack pattern
formation due to shrinkage caused by the drying of a wet material was
simulated. The process was simplified as follows: tensile force is generated in
the model, and a crack is generated when the tension exceeds a critical value.
The tensile forces in the x and y directions are independently
evaluated. A crack propagates perpendicular to the tension until it reaches
another crack or a boundary. Based on this modeling, simulations with a
two-dimensional square domain were performed. Consequently, a cross-divided
pattern was generated. Assuming zigzag crack propagation, more realistic
patterns were obtained. The effects of the boundary and domain size were also
considered, and various characteristic patterns were obtained. Furthermore, the
orientation dependency was simulated, and 45˚ declined patterns and rectangularly divided
patterns were generated. The model presented in this study is very simplified
and is expected to be applicable to various objects.
References
[1]
Müller, G. (1998) Starch Columns: Analog Model for Basalt Columns. Journal of Geophysical Research, 103, 15,239-15,253. https://doi.org/10.1029/98JB00389
[2]
Nakahara, A. and Matsuo, Y. (2005) Imprinting Memory into Paste and Its Visualization as Crack Patterns in Drying Process. Journal of the Physical Society of Japan, 74, 1362-1365. https://doi.org/10.1143/JPSJ.74.1362
[3]
Nakahara, A., Shinohara, Y. and Matsuo, Y. (2011) Control of Crack Pattern Using Memory Effect of Paste. Journal of Physics: Conference Series, 319, Article ID: 012014. https://doi.org/10.1088/1742-6596/319/1/012014
[4]
Matsuo, Y. and Nakahara, A. (2012) Effect of Interaction on the Formation of Memories in Paste. Journal of the Physical Society of Japan, 81, Article ID: 024801. https://doi.org/10.1143/JPSJ.81.024801
[5]
Wang, L.-L., Tang, C.-S., Shi, B., Cui, Y.-J., Zhang, G.-Q. and Hilary, I. (2018) Nucleation and Propagation Mechanisms of Soil Desiccation Cracks. Engineering Geology, 238, 27-35. https://doi.org/10.1016/j.enggeo.2018.03.004
[6]
Sawada, M., Sumi, Y. and Mimura, M. (2021) Measuring Desiccation-Induced Tensile Stress during Cracking Process. Soils and Foundations, 61, 915-928. https://doi.org/10.1016/j.sandf.2021.03.006
[7]
An, N., Tang, C.-S., Cheng, Q., Wang, D.-Y. and Shi, B. (2020) Application of Electrical Resistivity Method in the Characterization of 2D Desiccation Cracking Process of Clayey Soil. Engineering Geology, 265, Article ID: 105416. https://doi.org/10.1016/j.enggeo.2019.105416
[8]
Zhuo, Z., Zhu, C., Tang, C.-S., Xu, H., Shi, X. and Mark, V. (2022) 3D Characterization of Desiccation Cracking in Clayey Soils Using a Structured Light Scanner. Engineering Geology, 299, Article ID: 106566. https://doi.org/10.1016/j.enggeo.2022.106566
[9]
Cordero, J.A., Prat, P.C. and Ledesma, A. (2021) Experimental Analysis of Desiccation Cracks on a Clayey Silt from a Large-Scale Test in Natural Conditions. Engineering Geology, 292, Article ID: 106256. https://doi.org/10.1016/j.enggeo.2021.106256
[10]
Han, X.-L., Jiang, N.-J., Yang, Y.-F., Choi, J., Singh, D.N., Beta, P., Du, Y.-J. and Wang, Y.-J. (2022) Deep Learning Based Approach for the Instance Segmentation of Clayey Soil Desiccation Cracks. Computers and Geotechnics, 146, Article ID: 104733. https://doi.org/10.1016/j.compgeo.2022.104733
[11]
Zeng, H., Tang, C-S., Cheng, Q., Inyang, H.I., Rong, D.-Z., Lin, L. and Shi, B. (2019) Coupling Effects of Interfacial Friction and Layer Thickness on Soil Desiccation Cracking Behavior, Engineering Geology, 260, Article ID: 105220. https://doi.org/10.1016/j.enggeo.2019.105220
[12]
Tang, C.-S., Cheng, Q., Lin, L., Tian, B.-G., Zeng, H. and Shi, B. (2022) Study on the Dynamic Mechanism of Soil Desiccation Cracking by Surface Strain/Displacement Analysis. Computers and Geotechnics, 152, Article ID: 104998. https://doi.org/10.1016/j.compgeo.2022.104998
[13]
Shepidchenko, T., Zhang, J., Tang, X., Liu, T., Dong, Z., Zheng, G. and Yang, L. (2020) Experimental Study of the Main Controlling Factors of Desiccation Crack Formation from Mud to Shale. Journal of Petroleum Science and Engineering, 194, Article ID: 107414. https://doi.org/10.1016/j.petrol.2020.107414
[14]
Sima, J. Jiang, M. and Zhou, C. (2014) Numerical Simulation of Desiccation Cracking in a Thin Clay Layer Using 3D Discrete Element Modeling. Computers and Geotechnics, 56, 168-180. https://doi.org/10.1016/j.compgeo.2013.12.003
[15]
Hirobe, S. and Oguni, K. (2016) Coupling Analysis of Pattern Formation in Desiccation Cracks. Computer Methods in Applied Mechanics and Engineering, 307, 470-488. https://doi.org/10.1016/j.cma.2016.04.029
[16]
Hirobe, S. and Oguni, K. (2017) Numerical Simulation of Desiccation Cracking Process by Weak Coupling of Desiccation and Fracture. International Journal of GEOMATE, 12-33, 8-13. https://doi.org/10.21660/2017.33.2535
[17]
Hirobe, S. and Oguni, K. (2017) Modeling and Numerical Investigations for Hierarchical Pattern Formation in Desiccation Cracking. Physica D, 359, 29-38. https://doi.org/10.1016/j.physd.2017.08.002
[18]
Vo, T.D., Pouya, A., Hemmati, S. and Tang, A.M. (2017) Numerical Modelling of Desiccation Cracking of Clayey Soil Using a Cohesive Fracture Method. Computers and Geotechnics, 85, 15-27. https://doi.org/10.1016/j.compgeo.2016.12.010
[19]
Watanabe, K. (2021) Simulation of Crack Pattern Formation Using Computer Simulation. Graduation Thesis, Yamagata University, Yonezawa. (In Japanese)
[20]
Uehara, T. and Watanabe, K. (2022) Simulation of Crack-Pattern Formation Due to Drying. In: Proceedings of the 7th Symposium on Multi-Scale Mechanics of Materials, The Society of Materials Science, Japan, Online, P43. (In Japanese)