Smoothening creases on surfaces of strain-stiffening materials

Jin, Lihua; Suo, Zhigang

doi:10.1016/j.jmps.2014.10.004

Cited by 34 publications

(32 citation statements)

References 62 publications

(54 reference statements)

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“…The ridge angle φ brings in an additional parameter. Experimentally, we find buckling patterns reminiscent of creasing when the prism is flat enough (φ close to 180 • ), consistent with prior work [12][13][14][15][16][17][18][19][20]. For acute enough ridge angles, however, a smooth buckling mode develops near the ridge, with a well-defined wavelength.…”

supporting

confidence: 88%

Buckling of an Elastic Ridge: Competition between Wrinkles and Creases

et al. 2017

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We investigate the elastic buckling of a triangular prism made of a soft elastomer. A face of the prism is bonded to a stiff slab that imposes an average axial compression. We observe two possible buckling modes which are localized along the free ridge. For ridge angles ϕ below a critical value ϕ^{⋆}≈90°, experiments reveal an extended sinusoidal mode, while for ϕ above ϕ^{⋆}, we observe a series of creases progressively invading the lateral faces starting from the ridge. A numerical linear stability analysis is set up using the finite-element method and correctly predicts the sinusoidal mode for ϕ≤ϕ^{⋆}, as well as the associated critical strain ε_{c}(ϕ). The experimental transition at ϕ^{⋆} is found to occur when this critical strain ε_{c}(ϕ) attains the value ε_{c}(ϕ^{⋆})=0.44 corresponding to the threshold of the subcritical surface creasing instability. Previous analyses have focused on elastic crease patterns appearing on planar surfaces, where the role of scale invariance has been emphasized; our analysis of the elastic ridge provides a different perspective, and reveals that scale invariance is not a sufficient condition for localization.

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confidence: 88%

Buckling of an Elastic Ridge: Competition between Wrinkles and Creases

et al. 2017

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“…Contraction of the liquid-filled cavity in the breathing mode, 12 during which the cavity remains spherical, is modeled using mass transport. Dependence of cavity deformation at the onset of creasing is demonstrated to have quantitative agreement with Jin and Suo 22 's predictions via independent characterization of the elastomer's constitutive behavior. We then show results for crease morphology evolution as a function of decreasing cavity volume, drawing parallels with a simulated cylindrical geometry.…”

Section: Introductionsupporting

confidence: 71%

“…First, recent theory finds that hyperelastic strain-stiffening delays the onset of creasing as a function of applied strain. 22 For reference, incompressible, neo-Hookean elastomers, which exhibit no strain-stiffening, crease at a uniaxial plane-strain of 0.35. 1,2 This behavior has been validated by experimental observation in several soft materials.…”

Section: Introductionmentioning

confidence: 99%

“…10 These authors attributed this observation to possible variation in compressibility with changes in the gel composition; verification was left for future study. More recently however, Jin and Suo 22 calculated that for a strain-stiffening Gent material, 23 a larger strain is required to induce creasing for materials with earlier onset of strain-stiffening. This behavior is predicted to result in crease suppression for materials with early onset of strain-stiffening ( J lim = 3.1, where J lim determines the onset of strain-stiffening and is the first strain invariant minus 3 evaluated at the limiting stretch state).…”

Section: Introductionmentioning

confidence: 99%

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Creasing in evaporation-driven cavity collapse

2017

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We report on crease morphology and evolution at the surface of contracting cavities embedded within elastomeric solids of varying composition (Sylgard 184: pre-polymer to crosslinker mixing ratios of 10 : 1, 12 : 1, 17.5 : 1, and 25 : 1). Cavity contraction is achieved through evaporation of an embedded 10 μL liquid droplet. In validation of recent theoretical predictions, strain-stiffening modeled via the Gent constitutive relation [Jin and Suo, JMPS, 2015, 74, 68-79] is found to govern both crease onset and crease density. Specifically, crease onset matches prediction using only experimentally-measured parameters. Neo-Hookean solids are found to prefer initiating creasing with many short creases that join to form a collapsed state with only a few creases, whereas creasing in Gent solids initiates with a few creases that propagate across the cavity surface. These experimental observations are explained by energy minimization using finite element simulation of a cylindrical crease geometry.

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“…Owing to these unique features, the problem of surface instability has attracted the interests of researchers in the past five decades, and has been extended to other geometry and material systems. Only a small sample of the representative works is given here [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The method of incremental solutions used by Biot, and by virtually all other researchers in studying surface instability, is based on the adjacent equilibrium stability criterion.…”

Section: Introductionmentioning

confidence: 99%

Surface instability of elastic half-spaces by using the energy method

2018

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Finding the complete set of stability conditions of an elastic half-space has been an open problem ever since Biot (Biot 1963 Appl. Sci. Res. 12 , 168–182 ( doi:10.1007/BF03184638 )) first studied the surface instability of half-spaces by seeking solutions of the incremental equilibrium equations. Towards solving this problem, a method based on the energy stability criterion is developed in the present work. A variational problem of minimizing the elastic energy associated with a half-space is formulated. The second variation condition is derived and is converted to an eigenvalue problem. For a half-space of neo-Hookean materials, the eigenvalue problem is solved, which leads to complete descriptions of stability and instability regions in the deformation space.

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Smoothening creases on surfaces of strain-stiffening materials

Cited by 34 publications

References 62 publications

Buckling of an Elastic Ridge: Competition between Wrinkles and Creases

Buckling of an Elastic Ridge: Competition between Wrinkles and Creases

Creasing in evaporation-driven cavity collapse

Surface instability of elastic half-spaces by using the energy method

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