Analysis of axisymmetric necking of a circular dielectric membrane based on a one-dimensional model (2025)
Journal Article
Yu, X., & Fu, Y. (2025). Analysis of axisymmetric necking of a circular dielectric membrane based on a one-dimensional model. Journal of the Mechanics and Physics of Solids, 198, Article 106071. https://doi.org/10.1016/j.jmps.2025.106071

To facilitate the understanding of the mechanisms underlying the electric breakdown of dielectric elastomers, we derive a one-dimensional (1d) model for axisymmetric necking in a dielectric membrane subjected to equibiaxial stretching and an electric... Read More about Analysis of axisymmetric necking of a circular dielectric membrane based on a one-dimensional model.

Wrinkling of differentially growing bilayers with similar film and substrate moduli (2024)
Journal Article
Shen, J., Fu, Y., Pirrera, A., & Groh, R. M. (2024). Wrinkling of differentially growing bilayers with similar film and substrate moduli. Journal of the Mechanics and Physics of Solids, 193, Article 105900. https://doi.org/10.1016/j.jmps.2024.105900

Growth-induced surface wrinkling in constrained bilayers comprising a thin film attached to a thick substrate is a canonical model for understanding pattern formation in many biological systems. While the bilayer model has received much prior attenti... Read More about Wrinkling of differentially growing bilayers with similar film and substrate moduli.

Wrinkling of a film/substrate bilayer with periodic material properties: An assessment of the Winkler foundation model (2024)
Journal Article
Fu, Y., Wang, Y.-S., & Fu, Y. (2024). Wrinkling of a film/substrate bilayer with periodic material properties: An assessment of the Winkler foundation model. International Journal of Non-Linear Mechanics, 166, 1-12. https://doi.org/10.1016/j.ijnonlinmec.2024.104815

The Winkler foundation model is often used to analyze the wrinkling of a film/substrate bilayer under compression, and it can be rigorously justified when both the film and substrate are homogeneous and the film is much stiffer than the substrate. We... Read More about Wrinkling of a film/substrate bilayer with periodic material properties: An assessment of the Winkler foundation model.

On the incremental equations in surface elasticity (2024)
Journal Article
Yu, X., & Fu, Y. (in press). On the incremental equations in surface elasticity. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865231226183

We derive the incremental equations for a hyperelastic solid that incorporate surface tension effect by assuming that the surface energy is a general function of the surface deformation gradient. The incremental equations take the same simple form as... Read More about On the incremental equations in surface elasticity.

New mountain ridge modes in a film/substrate bilayer (2023)
Journal Article
Fu, Y., Wang, Y., & Fu, Y. (in press). New mountain ridge modes in a film/substrate bilayer. Mathematics and Mechanics of Solids, 1-15. https://doi.org/10.1177/10812865231208414

This article is concerned with the buckling of a film-substrate bilayer in a state of plane strain when it is subjected to a uni-axial compression along its free surface. Previous numerical simulations have indicated that pre-stretching the substrate... Read More about New mountain ridge modes in a film/substrate bilayer.