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Handge UA, Sokolov IM, Blumen A. Disorder and plasticity in the fragmentation of coatings. Phys Rev E Stat Nonlin Soft Matter Phys. 2001;64(1):016109doi: 10.1103/PhysRevE.64.016109.
Handge, U. A., Sokolov, I. M., & Blumen, A. (2001). Disorder and plasticity in the fragmentation of coatings. Physical review. E, Statistical, nonlinear, and soft matter physics, 64(1), 016109. https://doi.org/10.1103/PhysRevE.64.016109
Handge, U A, et al. "Disorder and plasticity in the fragmentation of coatings." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 64,1 (2001): 016109. doi: https://doi.org/10.1103/PhysRevE.64.016109
Handge UA, Sokolov IM, Blumen A. Disorder and plasticity in the fragmentation of coatings. Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jul;64(1):016109. doi: 10.1103/PhysRevE.64.016109. Epub 2001 Jun 14. PMID: 11461333.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Jul;64(1):016109. doi: 10.1103/PhysRevE.64.016109. Epub 2001 Jun 14.

Disorder and plasticity in the fragmentation of coatings.

Physical review. E, Statistical, nonlinear, and soft matter physics

U A Handge, I M Sokolov, A Blumen

Affiliations

  1. Theoretical Polymer Physics, University of Freiburg, Hermann-Herder-Strasse 3, 79104 Freiburg im Breisgau, Germany.

PMID: 11461333 DOI: 10.1103/PhysRevE.64.016109

Abstract

Using a one-dimensional model that takes into account ideal plasticity of the surface layer, we investigate the fragmentation of thin coatings under uniaxial tension. The coating is modeled as a chain of plastically deforming elements that are connected via leaf springs to a uniformly stretched substrate. Each coating element can only withstand a maximum elongation, which is randomly distributed. From simulations of the fragmentation process we find that the average crack spacing scales with applied strain epsilon, i.e., proportional to epsilon(-kappa). Simulations and analytical arguments show that the scaling exponent kappa depends on the disorder parameters of the model.

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