Creasing of an everted elastomer tube

Liang, Xudong; Tao, Feiyu; Cai, Shengqiang

doi:10.1039/c6sm01381c

Cited by 11 publications

(15 citation statements)

References 19 publications

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“…However, it fails to predict the behaviour actually observed in the laboratory when sectors are bent or unbent too severely: their compressed side does buckle, but earlier than predicted by the incremental theory, and creases develop instead of smooth sinusoidal wrinkles (figures 1 and 6). This observation is well known and documented for the buckling of homogeneous solids, see for example experimental pictures for the bending of blocks [5,[20][21][22][23], of a cylinder [24] and of a sector [9], the torsion of a cylinder [25] and of a tube [23], the eversion of a tube [23,26] and the shear-box deformation of a block [23]. It has also been successfully captured by FE simulations, see the seminal articles by Hong et al [21], Hohlfeld & Mahadevan [24] and Cao & Hutchinson [27,28] (the latter include a nonlinear post-bifurcation analysis and imperfection sensitivity).…”

Section: Numerical Results For Creasesmentioning

confidence: 58%

Wrinkles and creases in the bending, unbending and eversion of soft sectors

et al. 2018

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We study what is clearly one of the most common modes of deformation found in nature, science and engineering, namely the large elastic bending of curved structures, as well as its inverse, unbending, which can be brought beyond complete straightening to turn into eversion. We find that the suggested mathematical solution to these problems always exists and is unique when the solid is modelled as a homogeneous, isotropic, incompressible hyperelastic material with a strain-energy satisfying the strong ellipticity condition. We also provide explicit asymptotic solutions for thin sectors. When the deformations are severe enough, the compressed side of the elastic material may buckle and wrinkles could then develop. We analyse, in detail, the onset of this instability for the Mooney-Rivlin strain energy, which covers the cases of the neo-Hookean model in exact nonlinear elasticity and of third-order elastic materials in weakly nonlinear elasticity. In particular, the associated theoretical and numerical treatment allows us to predict the number and wavelength of the wrinkles. Guided by experimental observations, we finally look at the development of creases, which we simulate through advanced finite-element computations. In some cases, the linearized analysis allows us to predict correctly the number and the wavelength of the creases, which turn out to occur only a few per cent of strain earlier than the wrinkles.

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Section: Numerical Results For Creasesmentioning

confidence: 58%

Wrinkles and creases in the bending, unbending and eversion of soft sectors

et al. 2018

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“…Because these phenomena are primarily found on surfaces, most observations have been on planar 2,3,9,10 or convex geometries. 8 Recently, creasing on the inner surface of everted cylinders has been observed cross-sectionally, 11 here we describe creasing on the inner surface of a spherical cavity within an elastomeric solid.…”

Section: Introductionmentioning

confidence: 84%

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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“…iv) Mechanical properties: DNA chains with different levels of rigidity and flexibility provide DNA hydrogels with elasticity, viscosity, elasticity, and other mechanical properties, which are determined and regulated by the assembly conditions, such as the concentration, length, and flexibility of the DNA chains, as well as the proportion of the components. [ 35 , 141 ] Furthermore, ssDNA, at a consistent length of about 2 nm, is more flexible than dsDNA at approximately 50 nm, while bending or twisting dsDNA expends about 50 times as much energy as ssDNA. [ 142 , 143 , 144 , 145 ] Moreover, different DNA nanostructures formed by FNAs under specific conditions also have a significant influence on the mechanical properties of hydrogels.…”

Section: The Functional Features and Smart Strategies Of Nahsmentioning

confidence: 99%

Smart and Functionalized Development of Nucleic Acid‐Based Hydrogels: Assembly Strategies, Recent Advances, and Challenges

et al. 2021

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Nucleic acid-based hydrogels that integrate intrinsic biological properties of nucleic acids and mechanical behavior of their advanced assemblies are appealing bioanalysis and biomedical studies for the development of new-generation smart biomaterials. It is inseparable from development and incorporation of novel structural and functional units. This review highlights different functional units of nucleic acids, polymers, and novel nanomaterials in the order of structures, properties, and functions, and their assembly strategies for the fabrication of nucleic acid-based hydrogels. Also, recent advances in the design of multifunctional and stimuli-responsive nucleic acid-based hydrogels in bioanalysis and biomedical science are discussed, focusing on the applications of customized hydrogels for emerging directions, including 3D cell cultivation and 3D bioprinting. Finally, the key challenge and future perspectives are outlined.

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Creasing of an everted elastomer tube

Abstract: A cylindrical elastomer tube can stay in an everted state without any external forces.

Cited by 11 publications

References 19 publications

Wrinkles and creases in the bending, unbending and eversion of soft sectors

Wrinkles and creases in the bending, unbending and eversion of soft sectors

Creasing in evaporation-driven cavity collapse

Smart and Functionalized Development of Nucleic Acid‐Based Hydrogels: Assembly Strategies, Recent Advances, and Challenges

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