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All Outputs (6)

Localized bulging of an inflated rubber tube with fixed ends (2022)
Journal Article
Fu, Y., Guo, Z., & Wang, S. (2022). Localized bulging of an inflated rubber tube with fixed ends. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 380(2234), 20210318 - ?. https://doi.org/10.1098/rsta.2021.0318

When a rubber tube with free ends is inflated under volume control, the pressure will first reach a maximum and then decrease monotonically to approach a constant asymptote. The pressure maximum corresponds to the initiation of a localized bulge and... Read More about Localized bulging of an inflated rubber tube with fixed ends.

A refined model for the buckling of film/substrate bilayers (2022)
Journal Article
Wang, G., Liu, Y., & Fu, Y. (2022). A refined model for the buckling of film/substrate bilayers. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865221107072

The classical reduced model for film/substrate bilayers is the one in which the film is governed by the Euler–Bernoulli beam equation, and the substrate is replaced by an array of springs (the so-called Winkler foundation assumption). We derive a ref... Read More about A refined model for the buckling of film/substrate bilayers.

An analytic derivation of the bifurcation conditions for localization in hyperelastic tubes and sheets (2022)
Journal Article
Fu. (2022). An analytic derivation of the bifurcation conditions for localization in hyperelastic tubes and sheets. Zeitschrift für Angewandte Mathematik und Physik, https://doi.org/10.1007/s00033-022-01748-2

We provide an analytic derivation of the bifurcation conditions for localized bulging in an inflated hyperelastic tube of arbitrary wall thickness and axisymmetric necking in a hyperelastic sheet under equibiaxial stretching. It has previously been s... Read More about An analytic derivation of the bifurcation conditions for localization in hyperelastic tubes and sheets.

Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching (2022)
Journal Article
Fu. (2022). Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching. Mathematics and Mechanics of Solids, https://doi.org/10.1177/10812865211072897

We consider bifurcations from the homogeneous solution of a circular or square hyperelastic sheet that is subjected to equibiaxial stretching under either force- or displacement-controlled edge conditions. We derive the condition for axisymmetric nec... Read More about Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching.