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Kumar A, Kulkarni GU. Time Evolution and Spatial Hierarchy of Crack Patterns. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:13141-13147. [PMID: 34706197 DOI: 10.1021/acs.langmuir.1c02363] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
Cracks generated due to desiccation of wet colloidal systems are ubiquitous, examples being nanomaterial films, painted walls, cemented floors, mud fields, river beds, and even giant rocks. In all such cases, crack patterns are often appreciably similar but for the length and time scales, which can be widely differing. In this work, we have examined the crack formation more closely to see if there exists some generality with regard to the length scale of parameters and the formation time. Specifically, using a commonly used colloidal dispersion and optimized conditions to form polygonal network patterns rather than isolated cracks (films of subcritical thickness), we have studied the time evolution of the pattern parameters, the area occupied by the cracks, their lengths, and the widths. As is well known, initially, a network of cracks forms, which we term as the primary generation, followed by interconnecting cracks inside the polygonal regions (secondary) and, later, cracks spreading in local regions (tertiary). We find that the area and the width increase nearly linearly with time with the change in the slope corresponding to the change in the generation. When normalized with respect to the final values, the trends obtained for different film thicknesses overlap, the only exception being the pattern containing unconnected cracks. Thus, the time evolution of cracks is shown to be predictable based on width filtering. Including the angle between cracks as further input into the recursive model, the possibility of identifying the hierarchy of crack segments is also shown. The approach may be useful in determining the age, authenticity, and details of old paintings, understanding the stress profile of geological rocks, and analyzing various natural and manmade hierarchical structures.
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Affiliation(s)
- Ankush Kumar
- Chemistry and Physics of Materials Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bengaluru 560064, India
| | - G U Kulkarni
- Chemistry and Physics of Materials Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bengaluru 560064, India
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Meng W, Liu M, Gan Y, Pauchard L, Chen CQ. Cracking to curling transition in drying colloidal films. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2020; 43:64. [PMID: 33009958 DOI: 10.1140/epje/i2020-11985-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/29/2020] [Accepted: 08/31/2020] [Indexed: 06/11/2023]
Abstract
Drying-induced cracking is widely encountered in nature and is of fundamental interest in industrial applications. During desiccation, the evolution of water content is nonlinear. Considering the inhomogeneous procedure of desiccation, it is worth considering whether water content will affect the crack pattern formation. To address this concern, in this paper, we report an experimental investigation on the effect of water content on the failure mode in drying colloidal films. A distinct failure transition from random cracking to curling is found when the initial water content increases gradually. When the water content is below a critical value for given film thickness, random desiccation cracking driven by shrinkage is observed. Beyond this critical water content, the film curls with the advent of several main cracks. It is also found that the critical water content corresponding to the transition point depends on the film thickness. In order to qualitatively interpret the experimental observation, a theoretical model is established by adopting the fracture mechanics based on the energy method. The model is found to agree well with the experimental results, elucidating the effects of initial water content on the crack patterns and the transition of failure modes.
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Affiliation(s)
- Weipeng Meng
- Department of Engineering Mechanics, CNMM & AML, Tsinghua University, 100084, Beijing, China
| | - Mingchao Liu
- Department of Engineering Mechanics, CNMM & AML, Tsinghua University, 100084, Beijing, China
- Mathematical Institute, University of Oxford, OX2 6GG, Oxford, UK
| | - Yixiang Gan
- School of Civil Engineering, The University of Sydney, NSW 2006, Sydney, Australia
| | | | - C Q Chen
- Department of Engineering Mechanics, CNMM & AML, Tsinghua University, 100084, Beijing, China.
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Pujar R, Kumar A, Rao KDM, Sadhukhan S, Dutta T, Tarafdar S, Kulkarni GU. Narrowing Desiccating Crack Patterns by an Azeotropic Solvent for the Fabrication of Nanomesh Electrodes. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:16130-16135. [PMID: 31710498 DOI: 10.1021/acs.langmuir.9b02442] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Desiccation of a colloidal layer produces crack patterns because of stress arising out of solvent evaporation. Associated with it is the rearrangement of particles, while adhesion to the substrate resists such movements. The nature of solvent, which is often overlooked, plays a key role in the process as it dictates evaporation and wetting properties of the colloidal film. Herein, we study the crack formation process by using a mixture of solvents, water, and isopropyl alcohol (IPA). Among the various ratios, a water/IPA mixture (15:85 by volume) close to the azeotropic composition possesses unusual evaporation and wetting properties, leading to narrower cracks with widths down to ∼162 nm, uncommon among the known crackle patterns. The dense and narrow crack patterns have been used as sacrificial templates to obtain metal meshes on transparent substrates for optoelectronic applications.
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Affiliation(s)
- Rajashekhar Pujar
- Centre for Nano and Soft Matter Sciences , Jalahalli , Bengaluru 560013 , India
- Manipal Academy of Higher Education , Manipal 576104 , India
| | - Ankush Kumar
- Centre for Nano and Soft Matter Sciences , Jalahalli , Bengaluru 560013 , India
- Chemistry and Physics of Materials Unit , Jawaharlal Nehru Centre for Advanced Scientific Research , Jakkur , Bengaluru 560064 , India
| | - K D M Rao
- Technical Research Center , Indian Association for the Cultivation of Science , Kolkata 700032 , India
| | - Supti Sadhukhan
- Physics Department , Jogesh Chandra Chaudhuri College , Kolkata 700033 , India
| | - Tapati Dutta
- Physics Department , St. Xavier's College , Kolkata 700016 , India
| | - Sujata Tarafdar
- Physics Department , Jadavpur University , Kolkata 700032 , India
| | - Giridhar U Kulkarni
- Centre for Nano and Soft Matter Sciences , Jalahalli , Bengaluru 560013 , India
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Koga S, Inasawa S. Packing structures and formation of cracks in particulate films obtained by drying colloid–polymer suspensions. Colloids Surf A Physicochem Eng Asp 2019. [DOI: 10.1016/j.colsurfa.2018.11.066] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Ma X, Lowensohn J, Burton JC. Universal scaling of polygonal desiccation crack patterns. Phys Rev E 2019; 99:012802. [PMID: 30780299 DOI: 10.1103/physreve.99.012802] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/16/2018] [Indexed: 06/09/2023]
Abstract
Polygonal desiccation crack patterns are commonly observed in natural systems. Despite their quotidian nature, it is unclear whether similar crack patterns which span orders of magnitude in length scales share the same underlying physics. In thin films, the characteristic length of polygonal cracks is known to monotonically increase with the film thickness; however, existing theories that consider the mechanical, thermodynamic, hydrodynamic, and statistical properties of cracking often lead to contradictory predictions. Here we experimentally investigate polygonal cracks in drying suspensions of micron-sized particles by varying film thickness, boundary adhesion, packing fraction, and solvent. Although polygonal cracks were observed in most systems above a critical film thickness, in cornstarch-water mixtures, multiscale crack patterns were observed due to two distinct desiccation mechanisms. Large-scale, primary polygons initially form due to capillary-induced film shrinkage, whereas small-scale, secondary polygons appear later due to the deswelling of the hygroscopic particles. In addition, we find that the characteristic area of the polygonal cracks, A_{p}, obeys a universal power law, A_{p}=αh^{4/3}, where h is the film thickness. By quantitatively linking α with the material properties during crack formation, we provide a robust framework for understanding multiscale polygonal crack patterns from microscopic to geologic scales.
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Affiliation(s)
- Xiaolei Ma
- Department of Physics, Emory University, Atlanta, Georgia 30322, USA
| | - Janna Lowensohn
- Department of Physics, Emory University, Atlanta, Georgia 30322, USA
| | - Justin C Burton
- Department of Physics, Emory University, Atlanta, Georgia 30322, USA
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Sun Y, Yan L, Chen B. Arcuate wrinkling on stiff film/compliant substrate induced by thrust force with a controllable micro-probe. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2018; 41:89. [PMID: 30073427 DOI: 10.1140/epje/i2018-11700-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/07/2018] [Accepted: 07/10/2018] [Indexed: 06/08/2023]
Abstract
Wrinkling patterns are widely observed in nature and can be used in many high-tech applications such as microfluidic channel, self-assembly ordered microstructures and improved adhesives. In order to use the wrinkling patterns for these applications, it is necessary to precisely control the formation and geometry of the wrinkles. In this paper, we investigate the localized wrinkling of a stiff film/compliant substrate system subjected to a thrust force with a controllable micro-probe. A thin Au film is deposited onto a thick PDMS substrate attached to a glass to form the stiff film/compliant substrate system. And a micro-probe is controlled by a piezoelectric microrobotic system to exert a point force onto the stiff film/compliant substrate to demonstrate the evolution of the localized wrinkles. The experiments show that the film will wrinkle into orthoradial morphology spontaneously when it is deformed in the vertical direction, and then it will wrinkle into arcuate morphology with deformation in the horizontal direction. Since the compressive stress and tensile stress of the film are generated simultaneously, the evolution of the arcuate wrinkles is always accompanied by some radial cracks. The morphological characteristic, formation mechanism and dynamic evolution of the arcuate wrinkles are demonstrated and discussed in detail.
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Affiliation(s)
- Yi Sun
- Center for Nanoscience and Nanotechnology, Zhejiang Sci-Tech University, 310018, Hangzhou, China
| | - Liping Yan
- Center for Nanoscience and Nanotechnology, Zhejiang Sci-Tech University, 310018, Hangzhou, China
| | - Benyong Chen
- Center for Nanoscience and Nanotechnology, Zhejiang Sci-Tech University, 310018, Hangzhou, China.
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Zang D, Pauchard L, Shen W. Topical issue on Wetting and Drying: Physics and Pattern Formation. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2016; 39:27. [PMID: 26920530 DOI: 10.1140/epje/i2016-16027-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/24/2016] [Accepted: 02/24/2016] [Indexed: 06/05/2023]
Affiliation(s)
- Duyang Zang
- Functional Soft Matter and Materials Group, Key Laboratory of Space Applied Physics and Chemistry of the Ministry of Education, School of Science, Northwestern Polytechnical University, 710129, Xi'an, China
| | - Ludovic Pauchard
- Laboratoire FAST, Univ. Paris-Sud, CNRS, Université Paris-Saclay, F-91405, Orsay, France
| | - Wei Shen
- Department of Chemical Engineering, Monash University, Wellington Rd, 3800, Clayton, Vic, Australia
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