Outputs (52)

On the incremental equations in surface elasticity (2024)
Journal Article

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

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.

Stochastic flutter analysis of a three-degree-of-freedom airfoil under vertical turbulence disturbance (2023)
Journal Article

This paper investigates the nonlinear stochastic dynamic response of a three-degree-of-freedom(3-DOF) airfoil with high substructural nonlinearity under vertical turbulent disturbances. Considering a two-dimensional flow field, the Dryden turbulence... Read More about Stochastic flutter analysis of a three-degree-of-freedom airfoil under vertical turbulence disturbance.

Erratum to: A new methodology for noninvasive measurement of local stress in soft materials (2023)
Journal Article

A new methodology for noninvasive measurement of local stress in soft materials (2023)
Journal Article

Axisymmetric necking of a circular electrodes-coated dielectric membrane (2023)
Journal Article

We investigate the stability of a circular electrodes-coated dielectric membrane under the combined action of an electric field and all-round in-plane tension. It is known that such a membrane is susceptible to the limiting point instability (also kn... Read More about Axisymmetric necking of a circular electrodes-coated dielectric membrane.

A one-dimensional model for axisymmetric deformations of an inflated hyperelastic tube of finite wall thickness (2023)
Journal Article

We derive a one-dimensional (1d) model for the analysis of bulging or necking in an inflated hy?perelastic tube of finite wall thickness from the three-dimensional (3d) finite elasticity theory by applying the dimension reduction methodology propose... Read More about A one-dimensional model for axisymmetric deformations of an inflated hyperelastic tube of finite wall thickness.

Localized bulging of an inflated rubber tube with fixed ends (2022)
Journal Article

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.

In memory of Prof. Hui-Hui Dai Obituary (2022)
Journal Article

A refined model for the buckling of film/substrate bilayers (2022)
Journal Article

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

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.

SMART WRINKLE TOPOGRAPHY FOR DICTATING CELL ACTIVITIES (2022)
Conference Proceeding

Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching (2022)
Journal Article

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.

Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes (2021)
Journal Article

Previous linear bifurcation analyses have evidenced that an axially stretched soft cylindrical tube may develop an infinite-wavelength (localized) instability when one or both of its lateral surfaces are under sufficient surface tension. Phase transi... Read More about Post-bifurcation behaviour of elasto-capillary necking and bulging in soft tubes.

On propagation of waves in pressurized fiber-reinforced hyperelastic tubes based on a reduced model (2021)
Journal Article

A refined dynamic finite-strain shell theory for incompressible hyperelastic materials was developed by the authors recently. In this paper, we first derive the associated linearized incremental theory, and then use it to investigate wave propagation... Read More about On propagation of waves in pressurized fiber-reinforced hyperelastic tubes based on a reduced model.

Biomechanical Effect of C₅/C₆ Intervertebral Reconstructive Height on Adjacent Segments in Anterior Cervical Discectomy and Fusion ‐ A Finite Element Analysis (2021)
Journal Article

ObjectiveTo investigate the biomechanical effect of different intervertebral reconstructive heights on adjacent segments following C5/C6 anterior cervical discectomy and fusion (ACDF) through finite element analysis.MethodsA finite element model of i... Read More about Biomechanical Effect of C₅/C₆ Intervertebral Reconstructive Height on Adjacent Segments in Anterior Cervical Discectomy and Fusion ‐ A Finite Element Analysis.

Post-buckling of an elastic half-space coated by double layers (2021)
Journal Article

We investigate the buckling and post-buckling properties of a hyperelastic half-space coated by two hyperelastic layers when the composite structure is subjected to a uniaxial compression. In the case of a half-space coated with a single layer, it is... Read More about Post-buckling of an elastic half-space coated by double layers.

Elasto-capillary circumferential buckling of soft tubes under axial loading: existence and competition with localised beading and periodic axial modes (2021)
Journal Article

AbstractWe 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 what loading conditions, if any, can... 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

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, Beading, and Bulging in Soft Elastic Cylinders (2021)
Journal Article

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.

Necking of a hyperelastic solid cylinder under axial stretching: Evaluation of the infinite-length approximation (2021)
Journal Article

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.

Wrinkling of a compressed hyperelastic half-space with localized surface imperfections (2020)
Journal Article

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.

Preface to a special feature dedicated to the memory of Prof. Peter Chadwick FRS. (2020)
Journal Article

'No abstract'

Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube (2020)
Journal Article

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

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..

Biomedical Applications of Wrinkling Polymers (2020)
Journal Article

Advancements in surface engineering and material fabrication techniques have enabled the creation and replication of naturally occurring surface topographies or the extrapolation of natural patterns to become achievable targets. Polymers are used ext... Read More about Biomedical Applications of Wrinkling Polymers.

Reduced model for the surface dynamics of a generally anisotropic elastic half-space (2020)
Journal Article

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

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.

Special issue of Wave Motion - "Nonlinear waves in solids: In memory of Alexander M. Samsonov" (2020)
Journal Article

'No abstract'

Effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a film/substrate bilayer (2019)
Journal Article

We refine a previously proposed semi-analytical method, and use it to study the effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a uni-axially compressed film/substrate bilayer structur... Read More about Effects of pre-stretch, compressibility and material constitution on the period-doubling secondary bifurcation of a film/substrate bilayer.

An experimental study of localized bulging in inflated cylindrical tubes guided by newly emerged analytical results (2019)
Journal Article

An experimental study is conducted on localized bulging of inflated latex rubber tubes of a range of wall thicknesses and tube lengths, guided by newly emerged analytical results. In the case when the tube has one free closed end that may or may not... Read More about An experimental study of localized bulging in inflated cylindrical tubes guided by newly emerged analytical results.

Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity (2018)
Journal Article

We study one of the important human tubular organs, the trachea, under deformation caused by the disease angioedema. This pathology can suddenly increase the volume of the trachea and cause serious breathing difficulty. Two popular theories, the swel... Read More about Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity.

An evaluation of the Gent and Gent-Gent material models using inflation of a plane membrane (2018)
Journal Article

The Gent material model is the simplest extension of the neo-Hookean material model that can describe the finite extensibility of the polymeric chains comprising the elastomer network. However, it is known that its fitting to experimental results of... Read More about An evaluation of the Gent and Gent-Gent material models using inflation of a plane membrane.

A reduced model for electrodes-coated dielectric plates (2018)
Journal Article

We derive a reduced theory describing the incremental deformation of an electrodes-coated dielectric plate that takes the leading-order thickness effect into account. By focusing on deformations that are symmetric with respect to the mid-plane, a pow... Read More about A reduced model for electrodes-coated dielectric plates.

Localized necking of a dielectric membrane (2018)
Journal Article

We first revisit the problem of localized bulging of an inflated rubber tube, and show that the associated bifurcation condition is equivalent to the vanishing of the determinant of the Hessian of the strain-energy density function when the latter is... Read More about Localized necking of a dielectric membrane.

Localized necking of a dielectric membrane (2018)
Journal Article

Localized Bulging Of Rotating Elastic Cylinders And Tubes (2017)
Journal Article

We investigate axially symmetric localized bulging of an incompressible hyperelastic circular solid cylinder or tube that is rotating about its axis of symmetry with angular velocity ?. For such a solid cylinder, the homogeneous primary deformation i... Read More about Localized Bulging Of Rotating Elastic Cylinders And Tubes.

On the near-critical behavior of cavitation in elastic plane membranes (2017)
Journal Article

Material cavitation under tensile loading is often studied by assuming the pre-existence of a small void. In this case the void would initially grow but without significant change in its size, and cavitation is said to take place if this slow growth... Read More about On the near-critical behavior of cavitation in elastic plane membranes.

Effect of double-fibre reinforcement on localized bulging of an inflated cylindrical tube of arbitrary thickness (2017)
Journal Article

We consider localized bulging of an inflated cylindrical hyperelastic tube of arbitrary thickness that is helically reinforced by two families of fibres. It is shown that localized bulging may become impossible, irrespective of the end conditions, wh... Read More about Effect of double-fibre reinforcement on localized bulging of an inflated cylindrical tube of arbitrary thickness.

Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates (2016)
Journal Article

The equations governing the appearance of flexural static perturbations at the edge of a semi-infinite thin elastic isotropic plate, subjected to a state of homogeneous bi-axial pre-stress, are derived and solved. The plate is incompressible and supp... Read More about Edge wrinkling in elastically supported pre-stressed incompressible isotropic plates.

Localized bulging in an inflated cylindrical tube of arbitrary thickness - the effect of bending stiffness (2016)
Journal Article

We study localized bulging of a cylindrical hyperelastic tube of arbitrary thickness when it is subjected to the combined action of inflation and axial extension. It is shown that with the internal pressure P and resultant axial force F viewed as fun... Read More about Localized bulging in an inflated cylindrical tube of arbitrary thickness - the effect of bending stiffness.

Shape bifurcation of a pressurized ellipsoidal balloon (2016)
Journal Article

It is well-known that for most spherical and cylindrical rubber balloons the pressure versus volume curve associated with uniform inflation both has an N-shape, but their shape bifurcation has different characters: whereas a spherical balloon tends t... Read More about Shape bifurcation of a pressurized ellipsoidal balloon.

An asymptotic analysis of the period-doubling secondary bifurcation in a film/substrate bilayer (2015)
Journal Article

It has previously been observed experimentally and simulated numerically that when a thin film bonded to a much softer substrate is subjected to a uni-axial compression parallel to the interface, the initial buckled pattern will suffer a secondary bi... Read More about An asymptotic analysis of the period-doubling secondary bifurcation in a film/substrate bilayer.

Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow (2015)
Journal Article

We first give a complete analysis of the dispersion relation for travelling waves propagating in a pre-stressed hyperelastic membrane tube containing a uniform flow. We present an exact formula for the so-called pulse wave velocity, and demonstrate t... Read More about Localized standing waves in a hyperelastic membrane tube and their stabilization by a mean flow.

Bifurcation of a dielectric elastomer balloon under pressurized inflation and electricactuation (2015)
Journal Article

It is previously known that under inflation alone a spherical rubber membrane balloon may bifurcate into a pear shape when the tension in the membrane reaches a maximum, but the existence of such a maximum depends on the material model used: the maxi... Read More about Bifurcation of a dielectric elastomer balloon under pressurized inflation and electricactuation.

Buckling of a coated elastic half-space when the coating and substrate have similar material properties (2015)
Journal Article

This study investigates the buckling of a uni-axially compressed neo-Hookean thin film bonded to a neo-Hookean substrate. Previous studies have shown that the elastic bifurcation is supercritical if r=µf/µs>1.74 and subcritical if r1.74. In this pape... Read More about Buckling of a coated elastic half-space when the coating and substrate have similar material properties.

Foreword to special issue on “Qualitative Methods in Engineering Science” (2015)
Journal Article

A semi-analytical approach to Biot instability in a growing layer: Strain gradient correction, weakly non-linear analysis and imperfection sensitivity (2015)
Journal Article

Many experimental works have recently investigated the dynamics of crease formation during the swelling of long soft slabs attached to a rigid substrate. Mechanically, the spatially constrained growth provokes a residual strain distribution inside th... Read More about A semi-analytical approach to Biot instability in a growing layer: Strain gradient correction, weakly non-linear analysis and imperfection sensitivity.

Foreward to Special Issue for winners of the 2nd IMA Lighthill-Thwaites Prize (2014)
Journal Article

Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon (2014)
Journal Article

It is well-known that for most spherical rubber balloons the pressure versus volume curve associated with uniform inflation is N-shaped (the pressure increases rapidly to a maximum, falls to a minimum, and subsequently increases monotonically), and t... Read More about Stability of pear-shaped configurations bifurcated from a pressurized spherical balloon.

Stability of an inflated hyperelastic membrane tube with localized wall thinning (2014)
Journal Article

It is now well-known that when an infinitely long hyperelastic membrane tube free from any imperfections is inflated, a transcritical-type bifurcation may take place that corresponds to the sudden formation of a localized bulge. When the membrane tub... Read More about Stability of an inflated hyperelastic membrane tube with localized wall thinning.

Surface waves guided by topography in an anisotropic elastic half-space (2013)
Journal Article