Influence of surface tension in the surfactant-driven fracture of closely-packed particulate monolayers
| Autor: | Mahesh Bandi, Eliot Fried, Christian Peco, Wei Chen, John E. Dolbow, Yingjie Liu |
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| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Materials science
FOS: Physical sciences 02 engineering and technology General Chemistry Mechanics Condensed Matter - Soft Condensed Matter 021001 nanoscience & nanotechnology Condensed Matter Physics 01 natural sciences Surface tension Condensed Matter::Soft Condensed Matter Pulmonary surfactant 0103 physical sciences Ultimate tensile strength Monolayer Fracture (geology) Soft Condensed Matter (cond-mat.soft) 010306 general physics 0210 nano-technology Displacement (fluid) Scaling Dimensionless quantity |
| Popis: | A phase-field model is used to capture the surfactant-driven formation of fracture patterns in particulate monolayers. The model is intended for the regime of closely-packed systems in which the mechanical response of the monolayer can be approximated as a linearly elastic solid. The model approximates the loss in tensile strength of the monolayer as the surfactant concentration increases through the evolution of a damage field. Initial-boundary value problems are constructed and spatially discretized with finite element approximations to the displacement and surfactant damage fields. A comparison between model-based simulations and existing experimental observations indicates a qualitative match in both the fracture patterns and temporal scaling of the fracture process. The importance of surface tension differences is quantified by means of a dimensionless parameter, revealing thresholds that separate different regimes of fracture. These findings are supported by newly performed experiments that validate the model and demonstrate the strong sensitivity of the fracture pattern to differences in surface tension. 10 pages, 11 figures, and 3 tables |
| Databáze: | OpenAIRE |
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