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Elasto-capillary circumferential buckling of soft tubes under axial loading: existence and competition with localised beading and periodic axial modes (2021)
Journal Article
Fu. (2021). Elasto-capillary circumferential buckling of soft tubes under axial loading: existence and competition with localised beading and periodic axial modes. Mechanics of soft materials, https://doi.org/10.1007/s42558-021-00034-x

<jats:title>Abstract</jats:title><jats:p>We provide an extension to previous analysis of the localised beading instability of soft slender tubes under surface tension and axial stretching. The primary questions pondered here are as follows: under wha... Read More about Elasto-capillary circumferential buckling of soft tubes under axial loading: existence and competition with localised beading and periodic axial modes.

Localised bifurcation in soft cylindrical tubes under axial stretching and surface tension (2021)
Journal Article
Fu. (2021). Localised bifurcation in soft cylindrical tubes under axial stretching and surface tension. International Journal of Solids and Structures, 23- 33. https://doi.org/10.1016/j.ijsolstr.2021.02.007

We investigate localised bulging or necking in an incompressible, hyperelastic cylindrical tube under axial stretching and surface tension. Three cases are considered in which the tube is subjected to different constraints. In case 1 the inner and ou... Read More about Localised bifurcation in soft cylindrical tubes under axial stretching and surface tension.

Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation (2021)
Journal Article
Fu. (2021). Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation. International Journal of Engineering Science, https://doi.org/10.1016/j.ijengsci.2020.103432

A weakly nonlinear analysis is conducted for localized necking of a hyperelastic solid cylinder under axial stretching based on the exact theory of nonlinear elasticity. The amplitude equation derived is shown to be consistent with the one-dimensiona... Read More about Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation.

Necking, Beading, and Bulging in Soft Elastic Cylinders (2021)
Journal Article
Fu. (2021). Necking, Beading, and Bulging in Soft Elastic Cylinders. Journal of the Mechanics and Physics of Solids, https://doi.org/10.1016/j.jmps.2020.104250

Due to surface tension, a beading instability takes place in a long enough fluid column that results in the breakup of the column and the formation of smaller packets with the same overall volume but a smaller surface area. Similarly, a soft elastic... Read More about Necking, Beading, and Bulging in Soft Elastic Cylinders.

Wrinkling of a compressed hyperelastic half-space with localized surface imperfections (2020)
Journal Article
Fu. (2020). Wrinkling of a compressed hyperelastic half-space with localized surface imperfections. International Journal of Non-Linear Mechanics, https://doi.org/10.1016/j.ijnonlinmec.2020.103576

We consider a variant of the classical Biot problem concerning the wrinkling of a compressed hyperelastic half-space. The traction-free surface is no longer flat but has a localized ridge or trench that is invariant in the x1-direction along which th... Read More about Wrinkling of a compressed hyperelastic half-space with localized surface imperfections.

Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube (2020)
Journal Article
Fu. (2020). Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube. Acta mechanica, https://doi.org/10.1007/s00707-020-02754-z

We first characterize strain solitary waves propagating in a fluid-filled membrane tube when the fluid is stationary prior to wave propagation and the tube is also subjected to a finite stretch. We consider the parameter regime where all traveling wa... Read More about Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube.

A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. (2020)
Journal Article
Fu. (2020). A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20200031 - ?. https://doi.org/10.1098/rspa.2020.0031

Based on previous work for the static problem, in this paper, we first derive one form of dynamic finite-strain shell equations for incompressible hyperelastic materials that involve three shell constitutive relations. In order to single out the bend... Read More about A refined dynamic finite-strain shell theory for incompressible hyperelastic materials: equations and two-dimensional shell virtual work principle..

Reduced model for the surface dynamics of a generally anisotropic elastic half-space (2020)
Journal Article
Prikazchikov, Kaplunov, & Fu. (2020). Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 20190590 - 20190590. https://doi.org/10.1098/rspa.2019.0590

Near-surface resonance phenomena often arise in semi-infinite solids. For instance, when a moving load with a speed v close to the surface wave speed vR is applied to the surface of an elastic half-space, it will give rise to a large-amplitude distur... Read More about Reduced model for the surface dynamics of a generally anisotropic elastic half-space.

Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness (2020)
Journal Article
Fu. (2020). Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness. Journal of the Mechanics and Physics of Solids, 103804 - 103804. https://doi.org/10.1016/j.jmps.2019.103804

A weakly nonlinear analysis is conducted for localized bulging of an inflated hyperelastic cylindrical tube of arbitrary wall thickness. Analytical expressions are obtained for the coefficients in the amplitude equation despite the fact that the prim... Read More about Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness.