ANALYSIS OF APPLICABILITY OF APPROXIMATE APPROACHES IN DETERMINING CRITICAL WRINKLING TRAINS OF THIN FILM ON SEMI-BOUNDED SUBSTRATE
DOI:
https://doi.org/10.15407/dopovidi2025.02.042Keywords:
thin film, wrinkling, surface instability, bilayer, hyperelastic materialAbstract
Using the relations of the linearized theory of stability of deformable bodies, the plane strain problem of the wrinkling of the surface of a bilayer system under its compression along the interface is investigated. The materials of a bilayer system consisting of a semi-constrained substrate coated with a thin film stiffer than the substrate are considered to be hyperelastic with an arbitrary structure of their elastic potentials. To determine the critical strains corresponding to the onset of wrinkling and the critical values of wavelengths, the corresponding boundary value problem, formulated in terms of potential harmonic functions, is reduced to a transcendental equation, which is investigated numerically. The obtained critical values are compared with similar values obtained by known approximate formulas.
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