Very thin solid-on-liquid structures: the interplay of flexural rigidity, membrane force, and interfacial force

Huang, Rui; Suo, Zhigang

doi:10.1016/s0040-6090(03)00065-8

Cited by 29 publications

(32 citation statements)

References 25 publications

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“…However, wrinkling can also occur in more complex systems, involving an elastic film on a viscous layer, [47][48][49] a solid film residing on top of a liquid base, 50 and others. In situations like these, the system can no longer be modeled using eqn (2) and a more complicated set of expressions has to be invoked, which may also contain time-dependent properties (e.g., modeling the characteristics of the viscous layer), [47][48][49] and interaction energies acting among the layers present in the system, 50 thus leading to complex phase diagrams. Dalnoki-Veress and coworkers reported on buckling that occurs in three layer systems comprising polystyrene (PS) sheets with various thicknesses sandwiched between two thin SiO x layers (thicknesses ranging from y18 to y30 nm).…”

Section: Wrinkling In Rigid Sheets On Viscoelastic Foundationsmentioning

confidence: 99%

Soft matter with hard skin: From skin wrinkles to templating and material characterization

2006

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The English-language dictionary defines wrinkles as ''small furrows, ridges, or creases on a normally smooth surface, caused by crumpling, folding, or shrinking''. In this paper we review the scientific aspects of wrinkling and the related phenomenon of buckling. Specifically, we discuss how and why wrinkles/buckles form in various materials. We also describe several examples from everyday life, which demonstrate that wrinkling or buckling is indeed a commonplace phenomenon that spans a multitude of length scales. We will emphasize that wrinkling is not always a frustrating feature (e.g., wrinkles in human skin), as it can help to assemble new structures, understand important physical phenomena, and even assist in characterizing chief material properties.

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Section: Wrinkling In Rigid Sheets On Viscoelastic Foundationsmentioning

confidence: 99%

Soft matter with hard skin: From skin wrinkles to templating and material characterization

2006

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“…where D is the flexural rigidity of the film Et 3 /[12(1-ν 2 )] and E is the Young's elastic modulus of the PDMS [37]. The normal (stretching) strain energy of the area under tension is…”

Section: Estimation Of Pericyte-exerted Force and Stressmentioning

confidence: 99%

Pericyte actomyosin-mediated contraction at the cell–material interface can modulate the microvascular niche

Lee

Zeiger

Maloney

et al. 2010

J. Phys.: Condens. Matter

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ABSTRACT:Pericytes physically surround the capillary endothelium, contacting and communicating with associated vascular endothelial cells via cell-cell and cell-matrix contacts. Pericyte-endothelial cell interactions thus have the potential to modulate growth and function of the microvasculature. Here we employ the experimental finding that pericytes can buckle a freestanding, underlying membrane via actin-mediated contraction. Pericytes were cultured on deformable silicone substrata, and pericyte-generated wrinkles were imaged via both optical and atomic force microscopy (AFM). The local stiffness of subcellular domains both near and far from these wrinkles was investigated by using AFM-enabled nanoindentation to quantify effective elastic moduli. Substratum buckling contraction was quantified by normalized change in length of initially flat regions of the substrata (corresponding to wrinkle contour lengths), and a model was used to relate local strain energies to pericyte contractile forces. The nature of pericyte-generated wrinkling and contractile protein-generated force transduction was further explored by the addition of pharmacological cytoskeletal inhibitors that affected contractile forces and the effective elastic moduli of pericyte domains. Actin-mediated forces are sufficient for pericytes to exert an average buckling contraction of 38% on the elastomeric substrata employed in these in vitro studies. Actomyosin-mediated contractile forces also act in vivo on the compliant environment of the microvasculature, including the basement membrane and other cells. Pericyte-generated substratum deformation can thus serve as a direct mechanical stimulus to adjacent vascular endothelial cells, and potentially alter the effective mechanical stiffness of nonlinear-elastic extracellular matrices, to modulate pericyte-endothelial cell interactions that directly influence both physiologic and pathologic angiogenesis.3

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“…Although buckling phenomena all pertain to the same physics, regardless of the way the wrinkles appear (spontaneous, external applied force) or the nature of the system (human skin, geological plates) [14,31], different models predicting the spatial feature of the wrinkles have been derived that account for the specific layering configuration of the system (stiff layer-on-soft base and vice versa) [17,19,20]. Basically, these models and related scaling relations predicting the wavelength (k) and amplitude (A) of the wrinkles, all rely on the minimization of the total energy variation of the stressed, and wrinkled membrane, with respect to the flat state and wrinkling direction [20,32,36]. Using this framework and what appears a priori to be the most simple system configuration: freestanding thin elastic film stretched by its clamped boundaries, Cerda and Mahadevan have predicted the buckling wavelength (k) and amplitude (A) to scale as [32], k = 2p 1/2 (B f /K) 1/4 , and A = k(2 1/2 /p)(D/L f ) 1/2 .…”

Section: Resultsmentioning

confidence: 99%

Spontaneous growth of self-relief wrinkles in freely floating lipid-based nanomembranes, formed on a reactive bath of polyoxometalate aqueous solution

Mougin

Vonna

Vidal

et al. 2010

Journal of Colloid and Interface Science

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Very thin solid-on-liquid structures: the interplay of flexural rigidity, membrane force, and interfacial force

Cited by 29 publications

References 25 publications

Soft matter with hard skin: From skin wrinkles to templating and material characterization

Soft matter with hard skin: From skin wrinkles to templating and material characterization

Pericyte actomyosin-mediated contraction at the cell–material interface can modulate the microvascular niche

Spontaneous growth of self-relief wrinkles in freely floating lipid-based nanomembranes, formed on a reactive bath of polyoxometalate aqueous solution

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