Mechanics of tension-induced film wrinkling and restabilization: a review

Wang, Ting; Yang, Yifan; Xu, Fan

doi:10.1098/rspa.2022.0149

Cited by 10 publications

(16 citation statements)

References 116 publications

(213 reference statements)

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“…Currently considerable studies have been performed on stretch-induced wrinkling in thin elastic sheets. 16 This problem is in contrast to conventional buckling in that it is accompanied by extensive stretching. 17 An earlier approach to characterizing the wrinkled regions in thin sheets is the tension-field theory devised by Wagner 18 and further improved by Pipkin 19 and Steigmann.…”

Section: Introductionmentioning

confidence: 99%

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Stretch‐induced wrinkling analysis of thin sheets with splines

Tian

Chen

2023

Numerical Meth Engineering

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Numerical simulation of stretch-induced wrinkling in thin elastic sheets is a challenging problem due to a vanishing bending stiffness and the coexistence of superabundant equilibrium solutions. In this work, we present a computational framework to capture the morphological evolution of stretch-induced wrinkles. The application of modified Föppl-von Kármán plate model results in a fourth-order partial differential equation. The convergence of finite-element solutions necessitates C 1 -continuous approximations. Herein, Powell-Sabin B-splines, which are based on triangles, are utilized for both the approximation of the field variables and the description of the geometry. To trace the wrinkling behavior in thin sheets, a path-following technique using asymptotic numerical method is considered. The advantage of this method is an adaptive step length, which works incredibly well near the bifurcation points and allows for the computation of the post-bifurcation diagrams with a quite small perturbation. The versatility and accuracy of the developed computational approach are assessed in three case studies, featuring wrinkling in highly stretched rectangular and annular thin sheets.

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Section: Introductionmentioning

confidence: 99%

“…Currently considerable studies have been performed on stretch‐induced wrinkling in thin elastic sheets 16 . This problem is in contrast to conventional buckling in that it is accompanied by extensive stretching 17 .…”

Section: Introductionmentioning

confidence: 99%

Stretch‐induced wrinkling analysis of thin sheets with splines

Tian

Chen

2023

Numerical Meth Engineering

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“…[ 27 ] This results in structural instability due to tensile loading and results in local surface wave formations. [ 28 ] Furthermore, Su et al. showed that the thickness–width ratio affects buckling.…”

Section: Introductionmentioning

confidence: 99%

“…[27] This results in structural instability due to tensile loading and results in local surface wave formations. [28] Furthermore, Su et al showed that the thickness-width ratio affects buckling. Below one, they show ultra-thin films wrinkles for samples' thickness smaller than 1 µm, and with increasing the thickness, they reported buckling and scissoring regions.…”

Section: Introductionmentioning

confidence: 99%

Shape Memory Alloy Thin Film Auxetic Structures

Dengiz

Goldbeck

Curtis

et al. 2023

Adv Materials Technologies

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Auxetic structures provide an interesting approach to solving engineering problems due to their negative Poisson's ratio, which allows for elongation perpendicular to applied stresses, opposite to a conventional structure's necking behavior. Thus, they can function well in applications requiring compacting the device into a small volume during the deployment (e.g., implants inserted with catheters) or stretchability with area coverage (e.g., stretchable electronics). Fabricating them with shape memory alloys (SMAs) expands the possibilities. The high strains experienced by auxetic structures may become reversible compared to ordinary metals due to superelastic or shape memory effect. This work studies four different auxetic microstructures using thin film SMAs that are capable of surviving strains up to 57.4%. Since these structures are fabricated by layer deposition and lithography, other components, such as microelectronics, can be seamlessly integrated into the fabrication process. These auxetic thin films are investigated for their mechanical behavior under tension for their stretchability and stability. Under tension, thin films are known to show wrinkling instabilities. In two of four designs, the large auxetic behavior leads to wrinkling, while the other two display stable, non‐wrinkling behavior. These designs can be candidates for stretchable electronics, wearable medical devices (e.g., biosensors), or implants (e.g., stents).

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“…Thin shells are one of the most widely used structural elements in civil [1], mechanical [2,3], architectural [4], biomedical [5,6], aeronautical [7] and aerospace [8,9] applications because they enable complex and large shapes while maintaining minimal weight. The limited thickness requires a careful characterization and modelling of the behaviour of shell structures, to thoroughly assess the stress distribution and avoid structural failure [10][11][12][13]. Although the stresses in statically determinate thin shell configurations can be analytically obtained from equilibrium equations in most of the cases [14], complex non-axisymmetric and statically indeterminate shapes require numerical analyses that necessitate the material constitutive model for an accurate prediction of the mechanical behaviour.…”

Section: Introductionmentioning

confidence: 99%

Direct stress computations in arbitrarily shaped thin shells and elliptic bulge tests

Suleman

Bosi

2022

Proc. R. Soc. A.

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Most of engineering and biological thin shell structures are characterized by non-axisymmetric and statically indeterminate configurations, which often require the knowledge of the constitutive material model to determine the stress state. In this work, a forward elastostatic method is introduced for the direct stress measurements in elastic homogeneous thin shells of arbitrary shape. The stress distribution is proven to be independent of the material properties for incompressible solids, while in compressible materials it depends only on the Poisson’s ratio, which is shown to have a negligible influence on the stress state. Hence, the proposed technique enables the direct assessment of the stress field in statically indeterminate thin shells without a known material model. The shell formulation is implemented using the finite difference method to independently measure the stresses during finite inflation of planar elliptical membranes and from the deformed shapes obtained through digital image correlation during bulge tests on a hyperelastic material, showing very good agreement with finite-element predictions and the applicability of the method to nonlinear elastic materials. Therefore, the procedure can be coupled with imaging techniques for the direct assessment of stresses in thin shell structures and in the identification of material parameters through non-axisymmetric bulge tests.

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Mechanics of tension-induced film wrinkling and restabilization: a review

Cited by 10 publications

References 116 publications

Stretch‐induced wrinkling analysis of thin sheets with splines

Stretch‐induced wrinkling analysis of thin sheets with splines

Shape Memory Alloy Thin Film Auxetic Structures

Direct stress computations in arbitrarily shaped thin shells and elliptic bulge tests

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