Nonlinear analysis of compressed elastic thin films on elastic substrates: From wrinkling to buckle-delamination

Pan, Kui; Ni, Yong; He, Linghui; Huang, Rui

doi:10.1016/j.ijsolstr.2014.07.005

Cited by 71 publications

(35 citation statements)

References 48 publications

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“…The formation and development of buckle‐delaminations usually lead to obvious decay of wrinkle amplitudes nearby. [ 26,27 ] It is hard to precisely measure the average spacing of localized wrinkles for thick film samples. Therefore Figure 3d gives the average spacing of buckle‐delaminations for h > 500 nm and it is much larger than the wrinkle spacing.…”

Section: Resultsmentioning

confidence: 99%

“…If the interfacial adhesion of film‐substrate system is comparatively weak, the wrinkle mode will transit to delamination mode, forming coexisting morphologies of wrinkles and buckle‐delaminations. [ 26,27 ] The critical condition for film delaminating can be expressed as G < ε 2 E f h , where G is interfacial adhesion energy. [ 33,34 ] It is clear that thick films are favorable for formation of buckle‐delaminations.…”

Section: Resultsmentioning

confidence: 99%

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Harnessing Heterogeneous Wrinkles in Metal/Polydimethylsiloxane Film System by Combination of Mechanical Loading and Heat Treatment

Shan-xin

et al. 2020

Adv Materials Inter

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dehydration, and atrophy. Controlling wrinkle morphologies including orientation, wavelength, and amplitude is very important and necessary for various practical applications.Generally, the orientation of wrinkles is determined by the stress distribution of the film. Unidirectional strain results in stripe-like wrinkles perpendicular to the strain axis [4,5] while multidirectional strain leads to disordered labyrinth-like or ordered herringbone wrinkles. [6,7] Introduction of film impurity can induce local strain anisotropy and guide wrinkle orientation, achieving highly ordered wrinkle arrays. [8,9] The wavelength of wrinkles depends on the film thickness [10] and the modulus ratio of film to substrate. [11] It can range from submicron to macroscale (kilometers in tectonic plates for instance). The amplitude of wrinkles is directly proportional to the wavelength and the square root of strain. [12,13] The aspect ratio of wrinkle (the ratio of amplitude to wavelength) is merely dependent on the strain. The previous studies showed that the wrinkle amplitude or aspect ratio is usually uniform for a homogeneous sample. [4][5][6][7] As the compression is beyond a critical value (20-30%), the homogeneous wrinkles evolve into localized patterns such as folds, ridges, and delaminations. [13][14][15][16][17] Localized wrinkles can be also observed in disordered or heterogeneous films such as single-wall carbon nanotubes, glassy polymers, and diblock copolymers due to spontaneous strain localization. [18,19] Artificial thickness or modulus inhomogeneities of film-substrate systems are frequently used to induce various complex arrays of localized patterns by mechanical loading. [20][21][22] Although localized patterns in disordered or artificially inhomogeneous systems have been extensively investigated, the formation and evolution of heterogeneous wrinkles (with unequal wavelengths or amplitudes compared with the sinusoidal wrinkles) in a homogeneous system remain unknown up to now. In this study, we report a novel way to tailor the heterogeneous wrinkles in metal/polydimethylsiloxane (PDMS) bilayer system by the combination of mechanical loading and heat treatment. The novelty of this work is concluded as following. First, the heterogeneous wrinkles in this study spontaneously form at small strain condition and evolve into homogeneous structures as the compression increases. This process is in contrast to Spontaneous wrinkled surfaces in nature usually possess unique physical and chemical properties. Inspired by nature and stimulated by practical application, artificial wrinkle patterns have received increasing interest recently. Here, the controllable heterogeneous wrinkles in metal films deposited on polydimethylsiloxane substrates by combination of mechanical loading and heat treatment is reported. It is found that the wrinkles are spontaneously localized at small strain condition due to the uneven distribution of wrinkle amplitudes on the film surface. The morphological features and underlying mechanisms of such wrink...

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Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Harnessing Heterogeneous Wrinkles in Metal/Polydimethylsiloxane Film System by Combination of Mechanical Loading and Heat Treatment

Shan-xin

et al. 2020

Adv Materials Inter

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“…When a 2D material is under in‐plane compression, it often leads to the formation of surface wrinkles or buckle delamination as a result of buckling instability . As illustrated in Figure a–c, compressive strain to 2D materials can be introduced by directly compressing/prestretching the substrate, applying thermal stress, and growing/transferring 2D materials on the substrate (including 2D materials themselves) with a relatively smaller lattice constant.…”

Section: Out‐of‐plane Modementioning

confidence: 99%

“…On a relatively compliant substrate, wrinkles are more likely to occur (Figure g–i) . In some systems, wrinkles and buckle‐delamination blisters can co‐exist and co‐evolve by controlling the magnitude of the applied compressive strain . Of particular interest is the localized strain at the crest of these buckles and wrinkles, where the curvature reaches the maximum.…”

Section: Out‐of‐plane Modementioning

confidence: 99%

“…The maximal applicable strain to the 2D material hinges on the critical shear stress the vdW interface can undergo . In the out‐of‐plane deformation mode, the 2D material–substrate adhesion (also called interfacial toughness) is one of the crucial parameters that dominate the wrinkling/buckling behavior, determine the strain in bubbles and tents, and predict the conformability between the thin membrane and the patterned substrate . Such facts have motivated a lot of theoretical and experimental efforts into elucidating how these atomically thin 2D materials interact with their substrate.…”

Section: Mechanical Characterizations Of the 2d Material–substrate Inmentioning

confidence: 99%

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Strain Engineering of 2D Materials: Issues and Opportunities at the Interface

2019

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applications of 2D materials emerging at large strain levels. [8][9][10] Considering difficulties associated with building a microelectromechanical system for straining freestanding 2D materials, [11] 2D materials were often transferred onto a substrate such that the strain can be introduced to the 2D material by controlling the deformation of the bulk substrate. [12] Such fact has led to significant advances in the strategies for straining 2D materials with a film-substrate system, as well as in interface metrologies for the van der Waals (vdW) interaction between the 2D material and its substrate.Here, we first summarize recent experimental achievements on realizing mechanical strain to substrate-supported 2D materials by categorizing the deformation modes of the 2D material-substrate system. These deformation modes include in-plane modes caused by epitaxy, thermal-expansion mismatch, and stretching/compressing the substrate, as well as out-of-plane modes caused by wrinkling and buckling of 2D materials, bulging and poking 2D materials, and transferring 2D materials on a patterned substrate. We then review recent experimental characterizations of the mechanical response of 2D material-substrate interfaces to in-plane shear deformations and out-of-plane delamination. This is not meant to be an all-encompassing analysis of the broad-field topic of strain engineering, but instead, we point out how mechanical deformations are achieved into 2D materials within the film/ substrate system and how the mechanics of interfaces govern these deformation mechanisms. The goal is to deterministically apply both strain magnitude and strain distribution into these atomically thin films and ultimately achieve strain-coupled fundamental physics and chemistry, and exciting applications in a controllable manner. Considering the interdisciplinary nature of research in this field, we also refer the readers to comprehensive reviews from relevant perspectives, including synthesis of emerging 2D materials, characterizations of the strain in 2D materials (especially via the Raman spectroscopy), and applications of mechanically strained 2D materials. [6,13,14] 2D Materials

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Buckling Behaviors at the Interface of Liquid–Solid Systems

Meng

et al. 2021

Adv Eng Mater

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Buckling patterns are universal in organs of living organisms. Moreover, the functional realization of these organs is precisely dependent on the deformation of buckling structures, which is also related to the effect of interfacial interaction between liquid and solid surfaces. However, the detection of synergistic reaction between the buckling pattern and the effect of liquid–solid interface is absent. Herein, an experimental simulation of buckling behaviors at the solid–liquid interface, that is, by depositing Au atoms on liquid polydimethylsiloxane (PDMS) is developed. Buckling patterns can be directly created at the interface of Au atoms film and liquid PDMS. Furthermore, it is demonstrated that the orientation of buckling structures can be strictly controlled depending on the frame edges placed on the surface of the liquid PDMS before the deposition. Various ordered buckling patterns, such as parallel wrinkles pattern, magnetic‐field‐lines‐like buckling pattern, and bionic patterns, can be prepared depending on this buckling behavior. The experimental simulation of the buckling behavior at the liquid–solid interface is well promoted, which may be further helpful in understanding the effect of interfacial interaction between liquid and solid surfaces.

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Nonlinear analysis of compressed elastic thin films on elastic substrates: From wrinkling to buckle-delamination

Cited by 71 publications

References 48 publications

Harnessing Heterogeneous Wrinkles in Metal/Polydimethylsiloxane Film System by Combination of Mechanical Loading and Heat Treatment

Harnessing Heterogeneous Wrinkles in Metal/Polydimethylsiloxane Film System by Combination of Mechanical Loading and Heat Treatment

Strain Engineering of 2D Materials: Issues and Opportunities at the Interface

Buckling Behaviors at the Interface of Liquid–Solid Systems

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