scholarly journals Corner singularities and shape of stretched elastic sheets

2018 ◽  
Vol 98 (4) ◽  
Author(s):  
Julien Chopin ◽  
Andreea Panaitescu ◽  
Arshad Kudrolli
Keyword(s):  
Corner Singularities ◽  
Elastic Sheets

Snap-through oscillations of tandem elastic sheets in uniform flow

2021 ◽  
Vol 103 ◽  
pp. 103283
Author(s):  
Junsoo Kim ◽  
Hyeonseong Kim ◽  
Daegyoum Kim
Keyword(s):  
Uniform Flow ◽  
Elastic Sheets

Stability of slender inverted flags and rods in uniform steady flow

2016 ◽  
Vol 809 ◽  
pp. 873-894 ◽  
Author(s):  
John E. Sader ◽  
Cecilia Huertas-Cerdeira ◽  
Morteza Gharib
Keyword(s):  
Multiple Equilibria ◽  
Complex Dynamics ◽  
Flow Direction ◽  
Flow Speed ◽  
Uniform Flow ◽  
Biological Phenomena ◽  
Cantilever Length ◽  
The Stability ◽  
Elastic Sheets ◽  
Clamped Edge

Cantilevered elastic sheets and rods immersed in a steady uniform flow are known to undergo instabilities that give rise to complex dynamics, including limit cycle behaviour and chaotic motion. Recent work has examined their stability in an inverted configuration where the flow impinges on the free end of the cantilever with its clamped edge downstream: this is commonly referred to as an ‘inverted flag’. Theory has thus far accurately captured the stability of wide inverted flags only, i.e. where the dimension of the clamped edge exceeds the cantilever length; the latter is aligned in the flow direction. Here, we theoretically examine the stability of slender inverted flags and rods under steady uniform flow. In contrast to wide inverted flags, we show that slender inverted flags are never globally unstable. Instead, they exhibit bifurcation from a state that is globally stable to multiple equilibria of varying stability, as flow speed increases. This theory is compared with new and existing measurements on slender inverted flags and rods, where excellent agreement is observed. The findings of this study have significant implications to investigations of biological phenomena such as the motion of leaves and hairs, which can naturally exhibit a slender geometry with an inverted configuration.

scholarly journals The statistics of noisy growth with mechanical feedback in elastic tissues

2018 ◽  
Author(s):  
Ojan Khatib Damavandi ◽  
David K. Lubensky
Keyword(s):  
Tissue Growth ◽  
Fundamental Aspect ◽  
Isotropic Case ◽  
Anisotropic Growth ◽  
Clone Size ◽  
Density Correlation ◽  
Precise Control ◽  
Growth Modes ◽  
Elastic Sheets ◽  
Mechanical Feedback

Tissue growth is a fundamental aspect of development and is intrinsically noisy. Stochasticity has important implications for morphogenesis, precise control of organ size, and regulation of tissue composition and heterogeneity. Yet, the basic statistical properties of growing tissues, particularly when growth induces mechanical stresses that can in turn affect growth rates, have received little attention. Here, we study the noisy growth of elastic sheets subject to mechanical feedback. Considering both isotropic and anisotropic growth, we find that the density-density correlation function shows power law scaling. We also consider the dynamics of marked, neutral clones of cells. We find that the areas (but not the shapes) of two clones are always statistically independent, even when they are adjacent. For anisotropic growth, we show that clone size variance scales like the average area squared and that the mode amplitudes characterizing clone shape show a slow 1/n decay, where n is the mode index. This is in stark contrast to the isotropic case, where relative variations in clone size and shape vanish at long times. The high variability in clone statistics observed in anisotropic growth is due to the presence of two soft modes—growth modes that generate no stress. Our results lay the groundwork for more in-depth explorations of the properties of noisy tissue growth in specific biological contexts.

The Potential Applications of Hyaluronic Acid Hydrogels in Biomedicine

Drug Research ◽  
2019 ◽  
Vol 70 (01) ◽  
pp. 6-11 ◽  
Author(s):  
Elham Ahmadian ◽  
Solmaz Maleki Dizaj ◽  
Aziz Eftekhari ◽  
Elaheh Dalir ◽  
Parviz Vahedi ◽  
...  
Keyword(s):  
Hyaluronic Acid ◽  
Biomedical Applications ◽  
Wound Repair ◽  
Stem Cell Differentiation ◽  
Clinical Applications ◽  
Cellular Behavior ◽  
Hydrogel Formation ◽  
Potential Applications ◽  
Basic Concepts ◽  
Elastic Sheets

AbstractHyaluronic acid (HA) is widely used in the biomedicine due to its biocompatibility, biodegradability, and nontoxic properties. It is crucial for cell signaling role during morphogenesis, inflammation, and wound repair. After hydrogel formation, HA easily is converted to elastic sheets in order to use in preclinical and clinical applications. In addition, HA-derived hydrogels are easily used as vectors for cell and medication in tissue repairing and regenerative medicine. Moreover, in comparison with other polymers, HA -based hydrogels play a key role in in cellular behavior, including stem cell differentiation. The current paper reviews both basic concepts and recent advances in the development of HA-based hydrogels for biomedical applications.

scholarly journals Semi-implicit methods for the dynamics of elastic sheets

2019 ◽  
Vol 399 ◽  
pp. 108952
Author(s):  
Silas Alben ◽  
Alex A. Gorodetsky ◽  
Donghak Kim ◽  
Robert D. Deegan
Keyword(s):  
Implicit Methods ◽  
Elastic Sheets

scholarly journals Nano-wrinkles, compactons, and wrinklons associated with laser-induced Rayleigh–Taylor instability: I. Bubble environment

2020 ◽  
Vol 38 (2) ◽  
pp. 101-113
Author(s):  
Stjepan Lugomer
Keyword(s):  
Fluid Layer ◽  
Nonlinear Differential Equations ◽  
Fluid Velocity ◽  
Target Surface ◽  
Elementary Excitation ◽  
Sudden Increase ◽  
New Paradigm ◽  
Lateral Tension ◽  
Rayleigh Taylor Instability ◽  
Elastic Sheets

ABSTRACTWe study dynamics, structure and organization of the new paradigm of wavewrinkle structures associated with multipulse laser-induced RayleighTaylor (RT) instability in the plane of a target surface in the circumferential zone (C-zone) of the spot. Irregular target surface, variation of the fluid layer thickness and of the fluid velocity affect the nonlinearity and dispersion. The fluid layer inhomogeneity establishes local domains arranged (organized) in the «domain network». The traveling wavewrinkles become solitary waves and latter on become transformed into stationary soliton wavewrinkle patterns. Their morphology varies in the radial direction ofaussian-like spot ranging from the compacton-like solitons to the aperiodic rectangular waves (with rounded top surface) and to the periodic ones. These wavewrinkles may be successfully juxtapositioned with the exact solution of the nonlinear differential equations formulated in the KadomtsevPetviashvili sense taking into account the fluid conditions in particular domain. The cooling wave that starts at the periphery by the end of the pulse causes sudden increase of density and surface tension: the wavewrinkle structures become unstable what causes their break-up. The onset of solidification causes formation of an elastic sheet which starts to shrink generating lateral tension on the wavewrinkles. The focusing of energy at the constrained boundary causes the formation of wrinklons as the new elementary excitation of the elastic sheets.

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