On critical value for surface tension-driven instability of a soft composite cylinder

Ru, C. Q.

doi:10.1016/j.mechrescom.2022.103959

Cited by 4 publications

(4 citation statements)

References 29 publications

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“…[4][5][6][7][8] The Plateau-Rayleigh instability (PRI), 9,10 namely the instability driven by surface tension and often illustrated by the breakup of liquid jets into droplets, 11 has currently been examined for fibres made of soft solids. [12][13][14][15][16][17][18][19][20][21] Studies of the PRI of soft fibres have focused on soft materials that demonstrate elastic or viscoelastic responses. [12][13][14][15][16][17][18][19][20][21] An experimental study using soft agar gel fibres by Mora et al 14 has shown that the instability occurs when the elastocapillary length g/m Z 6R, where R is the radius of the soft fibre, g is the solid surface tension and m is the shear modulus.…”

Section: Introductionmentioning

confidence: 99%

“…[12][13][14][15][16][17][18][19][20][21] Studies of the PRI of soft fibres have focused on soft materials that demonstrate elastic or viscoelastic responses. [12][13][14][15][16][17][18][19][20][21] An experimental study using soft agar gel fibres by Mora et al 14 has shown that the instability occurs when the elastocapillary length g/m Z 6R, where R is the radius of the soft fibre, g is the solid surface tension and m is the shear modulus. Other studies of the PRI on a soft fibre include, for example, the formation of bead-on-string structures.…”

Section: Introductionmentioning

confidence: 99%

“…4–8 The Plateau–Rayleigh instability (PRI), 9,10 namely the instability driven by surface tension and often illustrated by the breakup of liquid jets into droplets, 11 has currently been examined for fibres made of soft solids. 12–21…”

Section: Introductionmentioning

confidence: 99%

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Plateau–Rayleigh instability of a soft layer coated on a rigid cylinder

Bharti,

Carlson,

Chan

2024

Soft Matter

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Plateau–Rayleigh instability of a soft layer coated on a rigid cylinder

Bharti,

Carlson,

Chan

2024

Soft Matter

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“…However, prior to this study, the effects of residual stresses were predominantly confined to the boundary conditions at the fiber-matrix interface and were not integrated into the constitutive relationship governing the incremental stress-strain behavior of the bulk material, be it the fiber or matrix. Several studies have highlighted these inconsistencies [12][13][14]. The integration of conventional linear elasticity and the effects of residual stresses into a modified constitutive relation, rooted in incremental deformation theories [15,16], represents a significant advancement.…”

Section: Introductionmentioning

confidence: 99%

A modified analytical model for the single-fiber pullout problem involving non-classical stress–strain relationships due to residual stresses: Analysis of stress field in the fully bonded region

Pei,

Yang,

Zhou

et al. 2023

Mathematics and Mechanics of Solids

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Upon reevaluating the influence of residual stresses generated by thermal mismatches in fibrous composites during the curing process, we introduce a modified model for the extraction of a single fiber from an elastic matrix. In contrast to previous models, which solely factored residual stress effects into the boundary conditions at the fiber–matrix interface while omitting them from the constitutive relations, our current model acknowledges bulk residual stress as finite values. Consequently, it yields non-conventional constitutive relations to describe the incremental deformation caused by external pulling forces. We have developed a practical semi-analytical series solution for the radial displacement of the matrix and an exact solution for the radial displacement of the fiber. To validate our modified model, we simplify it to a scenario where the influence of residual stress on the stress–strain relationship is excluded and compare it with results from existing literature. This comparison underscores the soundness of our modified model. We present a phase diagram to illustrate how the impact of residual stress on stress field prediction varies based on the ratio of the fiber modulus to the matrix modulus. This phase diagram serves as a valuable tool for evaluating whether it is advisable to transition from the previous mechanical model, which disregards the influence of residual stress on the stress–strain relationship, to the new model, which takes this influence into account within the stress–strain relationship.

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Circumferential Wrinkling of Elastic Cylinders With Negative Surface Tension

2022

Journal of Applied Mechanics

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The present paper studies the critical condition for negative surface tension-driven circumferential wrinkling of soft cylinders based on the linearized Steigmann-Ogden model of surface elasticity. A simple negative surface tension-mode number relation is derived explicitly for arbitrary Poisson ratios of the cylinder and its surface layer and their shear modulus ratio, on which the critical surface residual strain and the associated mode number can be determined easily. For an incompressible solid cylinder with incompressible thin surface layer, the critical values of surface residual strain and the mode number predicted by the present model are in good agreement with available numerical results based on the popular neo-Hooken nonlinear model for a wide range of material and geometrical parameters. In addition, the critical condition for circumferential wrinkling of the inner surface of a cylindrical hole within an infinite body is also derived. The present work addresses the key role of negative surface tension in circumferential wrinkling of soft cylinders and offers supporting evidence for the efficiency and accuracy of the linear Steigmann-Ogden model for the determination of the critical values for circumferential wrinkling.

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On critical value for surface tension-driven instability of a soft composite cylinder

Cited by 4 publications

References 29 publications

Plateau–Rayleigh instability of a soft layer coated on a rigid cylinder

Plateau–Rayleigh instability of a soft layer coated on a rigid cylinder

A modified analytical model for the single-fiber pullout problem involving non-classical stress–strain relationships due to residual stresses: Analysis of stress field in the fully bonded region

Circumferential Wrinkling of Elastic Cylinders With Negative Surface Tension

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