Model of stress‐induced defect formation in drying polymer films

Christodoulou, Kostas; Lightfoot, E. J.; Powell, R.W.

doi:10.1002/aic.690440703

Cited by 19 publications

(13 citation statements)

References 58 publications

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“…They incorporated yield stress and postyield viscous deformation, and they explored the effect of plastic yielding. Most recently, Christodoulou and coworkers11 also considered the large deformation in the drying gel, in which non‐Fickian diffusion is coupled with the stress contributions from a hypoelastic polymer network as well as an ideal liquid solvent, although their analysis is limited to model elastic coatings.…”

Section: Introductionmentioning

confidence: 99%

Stress development in drying coatings

Lei

Payne

McCormick

et al. 2001

J of Applied Polymer Sci

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As a solvent-cast polymeric coating dries, each part reaches a concentration at which it solidifies and develops elastic modulus. Thereafter, as further solvent departs, that part shrinks out-of-plane, but not in-plane, if the coating adheres to its substrate. Hence, it develops in-plane elastic stress. If the stress grows large enough, the stress-free state may yield, which reduces the final stress level. A theoretical model of diffusion and mass transfer, large shrinkage-induced deformation, and elastic stress, together with yielding and postyielding viscous deformation, was developed to predict stress evolution in one-dimensional drying of polymer coatings. Concentration varies only perpendicularly to the substrate, the coating shrinks only in that direction, and the stress varies only in that direction but is in-plane isotropic. The predictions are compared with measurements of evolving stress in various solvent-cast polymer coatings and aqueous gelatin coatings by a cantilever-deflection method.

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Section: Introductionmentioning

confidence: 99%

Stress development in drying coatings

Lei

Payne

McCormick

et al. 2001

J of Applied Polymer Sci

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“…Experimentally measured swelling ratios and model predictions for G s 0.00047. 0 Ž ers Christodoulou and Scriven, 1992;Christodoulou et al, . 1998;Christodoulou, 1990;Powell et al, 1999b as described Ž .…”

Section: Polyelectrolyte Gel Transport Model: Thermodynamics and Kinementioning

confidence: 95%

“…The data obtained from polyelectrolyte gel swelling experiments is used to extract the polymer concentration and deformation profiles, which are compared with computa-Ž tional simulation results based on a transport model Achil-. leos et al, 2000b . One of the motivations for this work is to validate our computational transport model for the swelling and drying of Ž polymer gelsrfilms Christodoulou et al, 1998; Correspondence concerning this article should be addressed to I. G. Kevrekidis. 1999b;Achilleos et al, 2000b . This model is based on multi-Ž component-multidimensional mixture theory Powell et al, .…”

Section: Introductionmentioning

confidence: 99%

Quantifying deformation in gel swelling: Experiments and simulations

et al. 2000

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“…Authors of Ref. [18] consider some aspects of the defect formation in drying films. Finally, a new model for drying droplets containing suspended solids after the shell formation is proposed and investigated in Ref.…”

Section: Introductionmentioning

confidence: 99%

Crack Formation During Post-Treatment of Nano- and Microfibres Prepared by Sol–Gel Technique

Tätte¹,

Al²,

Hussainov³

et al. 2010

J. Nanosci. Nanotech.

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We report on the method of TiO2 nano- and microfibres preparation and their cracking during processing and post-treatment. Nano- and microfibres were fabricated by drawing from viscous alkoxide based oligomeric concentrate precursors with the following exposure into an atmosphere of 30-50% humidity. The fibres microstructure was analyzed with TEM, solid state NMR, X-ray diffraction tools, and AFM. Experiments on crack formation in TiO2 microfibres proved that fibres with diameter larger than 10 micron are fractured for chosen post-treatment regimes. In theoretical considerations sol-gel produced and thermally treated microfibres are modeled as core/shell structures. It is suggested that the formation of fibres starts via solidification of liquid jet through the appearance of a rigid solid shell, which reveals tensile mechanical stresses because of material shrinkage. The effect of post-treatment is taken into account by additional densification of the fibre surface layer. The stress intensity factor K(I) is calculated for the model core/shell structures and the dependence of K(I) on the fibre diameter is demonstrated. The results of modeling qualitatively confirm experimental data of microfibre cracking above a certain threshold diameter.

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Model of stress‐induced defect formation in drying polymer films

Cited by 19 publications

References 58 publications

Stress development in drying coatings

Stress development in drying coatings

Quantifying deformation in gel swelling: Experiments and simulations

Crack Formation During Post-Treatment of Nano- and Microfibres Prepared by Sol–Gel Technique

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