Technical Papers
Feb 10, 2018

Mechanisms of Mudcrack Formation and Growth in Bentonite Paste

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 144, Issue 4

Abstract

Drying shrinkage results in cracks in mud in nature, and the patterns of the cracks are complex because of multiple combinations of various physical processes. Mudcrack growth may be induced by the internal friction caused by the differences between the shrinkage ratios of the soil skeletons, but the mechanical details remain unknown. In this study, the authors determined the fractal dimensions and its behavior to quantify the geometric characteristics of mudcracks on bentonite paste. Subsequently, the strain distribution of the mudcracks occurring on the bentonite paste was observed by the digital image correlation (DIC) method, and the mudcrack characteristics were clarified. Lastly, a novel numerical model for mudcrack growth in/on mud paste was described based on the results of DIC analyses. This is a new model for mudcrack simulation based on the techniques of three-dimensional solid dynamics. In order to validate the proposed model, the Hausdorff fractal dimension of the numerical crack patterns was compared with that of the data obtained. As a result, some reasonable fracture patterns were obtained, and the fractal dimension of the cracking patterns by numerical simulation was fairly consistent with the experimental results.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This work was supported by the JSPS Grant-in-Aid for Young Scientists (B) Grant No. 26790079 and by the University of the Ryukyus Strategic Research Grant.

References

Amarasiri, A. L., Kodikara, J. K., and Costa, S. (2011). “Numerical modelling of desiccation cracking.” Int. J. Numer. Anal. Methods Geomech., 35(1), 82–96.
Aydin, A., and Degraff, J. M. (1988). “Evolution of polygonal fracture patterns in lava flows.” Science, 239(4839), 471–476.
Baer, J. U., Kent, T. F., and Anderson, S. H. (2009). “Image analysis and fractal geometry to characterize soil desiccation cracks.” Geoderma, 154(1–2), 153–163.
Carpinteri, A., Lacidogna, G., and Niccolini, G. (2009). “Fractal analysis of damage detected in concrete structural elements under loading.” Chaos Solitons Fractals, 42(4), 2047–2056.
DeCarlo, K. F., and Shokri, N. (2014). “Effects of substrate on cracking patterns and dynamics in desiccating clay layers.” Water Resour. Res., 50(4), 3039–3051.
Goehring, L. (2013). “Evolving fracture patterns: Columnar joints, mud cracks, and polygonal terrain.” Philos. Trans. R. Soc. A, 371(2004), 20120353.
Goehring, L., and Stephen, W. M. (2006). “An experimental investigation of the scaling of columnar joints.” Phys. Rev. E, 74(3), 036115.
Hobst, L., and Zajic, J. (1983). Anchoring in rock and soil, Elsevier, Amsterdam, Netherlands.
Horvath, V. K., and Herrmann, H. J. (1991). “The fractal dimension of stress corrosion cracks.” Chaos Solitons Fractals, 1(5), 395–400.
Ito, H., and Miyata, Y. (1998). “Experimental study on mud crack patterns.” J. Geol. Soc. Jpn., 104(2), 90–98 (in Japanese).
Kerfoot, D. E. (1972). “Thermal contraction cracks in an arctic tundra environment.” Arct. Inst. North Am., 25(2), 142–150.
Kitsunezaki, S. (2009). “Crack propagation speed in the drying process paste.” J. Phys. Soc. Jpn., 78(6), 064801.
Konrad, J. M., and Ayad, R. (1997). “An idealized framework for the analysis of cohesive soils undergoing desiccation.” Can. Geotech. J., 34(4), 477–488.
Lakshmikantha, M. R. (2009). “Experimental and theoretical analysis of cracking in drying soils.” Ph.D. thesis, Universitat Politècnica de Catalunya, Barcelona, Spain.
Mandelbrot, B. B. (1982). The fractal geometry of nature, W.H. Freeman and Company, New York.
Morris, P. H., Graham, J., and Williams, D. J. (1992). “Cracking in drying soils.” Can. Geotech. J., 29(2), 263–277.
Müller, G. (2001). “Experimental simulation of joint morphology.” J. Struct. Geol., 23(1), 45–49.
Musielak, G., and Sliwa, T. (2012). “Fracturing of clay during drying: Modelling and numerical simulation.” Transp. Porous Media, 95(2), 1–17.
Nakahara, A., and Matsuo, Y. (2005). “Imprinting the memory into paste and its visualization as crack patterns in drying process.” J. Phys. Soc. Jpn., 74(5), 1362–1365.
Nakahara, A., and Matsuo, Y. (2006). “Transition in the pattern of cracks resulting from memory effects in paste.” Phys. Rev. E, 74(4), 045102.
Nakayama, H., Matsuo, Y., Ooshida, T., and Nakahara, A. (2013). “Position control of desiccation cracks by memory effect and Faraday waves.” Eur. Phys. J. E, 36(1), 1.
Nishimoto, A., Mizuguchi, T., and Kitsunezaki, S. (2007). “Numerical study of drying process and columnar fracture process in granule-water mixtures.” Phys. Rev. E, 76(1), 016102.
Novak, M. M. (2006). Complexus mundi—Emergent patterns in Nature, World Scientific, Singapore.
Peitgen, H. O., Jurgens, H., and Saupe, D. (2004). Chaos and fractals: New frontiers of science, Springer, New York.
Perret, J. S., Prasher, S. O., and Kacimov, A. R. (2003). “Mass fractal dimension of soil macropores using computed tomography: From the box-counting to the cube-counting algorithm.” Eur. J. Soil Sci., 54(3), 569–579.
Preston, S., Griffiths, B. S., and Young, I. M. (1997). “An investigation into sources of soil crack heterogeneity using fractal geometry.” Eur. J. Soil Sci., 48(1), 31–37.
Prusinkiewicz, P., and Aristid, L. (2012). The algorithmic beauty of plants, Springer, New York.
Rodríguez, R., Sánchez, M., Lloret, A., and Ledesma, A. (2007). “Experimental and numerical analysis of a mining waste desiccation.” Geotech. J., 44(6), 644–658.
Rots, J. G. (1970). “Computational modelling of concrete fracture.” Ph.D. thesis, Delft Univ. of Technology, Delft, Netherlands.
Sánchez, M., Manzoli, O. L., and Guimaraes, L. J. N. (2014). “Modeling 3-D desiccation soil crack networks using a mesh fragmentation technique.” Comput. Geotech., 62, 27–39.
Sletten, R. S., Hallet, B., and Fletcher, R. C. (2003). “Resurfacing time of terrestrial surfaces by the formation and maturation of polygonal patterned ground.” J. Geophys. Res., 108(E4), 8044.
Sutton, M. A., Orteu, J. J., and Schreier, H. (2009). Image correlation for shape, motion and deformation and deformation measurements, Springer, Boston.
Tang, C. S., Cui, Y. J., Tang, S. M., and Shi, B. (2010). “Experiment evidence on the temperature dependence of desiccation cracking behavior of clayey soils.” Eng. Geol., 114(3), 261–266.
Toramaru, A., and Matsumoto, T. (2004). “Columnar joint morphology and cooling rate: A starch-water mixture experiment.” J. Geophys. Res., 109(B2), B02205.
Towner, G. D. (1987a). “The mechanics of cracking of drying clay.” J. Agric. Eng. Res., 36(2), 115–124.
Towner, G. D. (1987b). “The tensile stress generated in clay through drying.” J. Agric. Eng. Res., 37(3–4), 279–289.
Velde, B. (1999). “Structure of surface cracks in soils and muds.” Geoderma, 93(1–2), 101–124.
Velde, B. (2001). “Surface cracking and aggregate formation observed in a Rendzina soil, La Touche (Vienne) France.” Geoderma, 99(3–4), 261–276.
Vogel, H. J., Hoffmann, H., and Roth, K. (2005). “Studies of crack dynamics on clay soil. I: Experimental methods, results, and morphological quantification.” Geoderma, 125(3–4), 203–211.
Weinberger, R. (1999). “Initiation and growth of cracks during desiccation of stratified muddy sediments.” J. Struct. Geol., 21(4), 379–386.
Weinberger, R. (2001). “Evolution of polygonal patterns in stratified mud during desiccation: The role of flaw distribution and layer boundaries.” Geol. Soc. Am. Bull., 113(1), 20–31.
Yamada, M. (1989). “A report on soil and rock test in areas of landslide.” J. Jpn. Landslide Soc., 26(2), 17–23 (in Japanese).
Yesiller, N., Miller, C. J., Inci, G., and Yaldo, K. (2000). “Desiccation and cracking behavior of three compacted landfill liner soils.” Eng. Geol., 57(1–2), 105–121.
Zhang, Z. B., Zhou, H., Zhao, Q. G., Lin, H., and Peng, X. (2014). “Characteristics of cracks in two paddy soils and their impacts on preferential flow.” Geoderma, 228(229), 114–121.
Zhao, Z. Y., Guo, Y. R., Wang, Y., Liu, H., and Zang, Q. (2014). “Growth patterns and dynamics of mud cracks at different diagenetic stages and its geological significance.” Int. J. Sediment Res., 29(1), 82–98.

Information & Authors

Information

Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 144Issue 4April 2018

History

Received: Oct 26, 2016
Accepted: Sep 21, 2017
Published online: Feb 10, 2018
Published in print: Apr 1, 2018
Discussion open until: Jul 10, 2018

Permissions

Request permissions for this article.

Authors

Affiliations

Kosaburo Hirose [email protected]
Technician, Technical Division of Faculty of Engineering, Univ. of the Ryukyus, Nishihara-cho 903-0213, Japan. E-mail: [email protected]
Hitoshi Matsubara [email protected]
Associate Professor, Dept. of Engineering, Univ. of the Ryukyus, Nishihara-cho 903-0213, Japan (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share