scholarly journals A Simulation of an Elastic Filament Using Kirchhoff Model

2022 ◽  
Vol 10 (1) ◽  
pp. 25-34
Author(s):  
Saimir Tola ◽  
Alfred Daci ◽  
Gentian Zavalani
Keyword(s):  
Elastic Filament ◽  
Kirchhoff Model

A Statistical Kirchhoff Model for EM Scattering from Gaussion Rough Surface

PIERS Online ◽  
2005 ◽  
Vol 1 (2) ◽  
pp. 187-191 ◽  
Author(s):  
Yang Du ◽  
Tao Xu ◽  
Yingliang Luo ◽  
J. A. Kong
Keyword(s):  
Rough Surface ◽  
Em Scattering ◽  
Kirchhoff Model

Polarization of grating diffraction simulated by vector Kirchhoff model

2007 ◽  
Author(s):  
Soe-Mie Foeng Nee ◽  
Tsu-Wei Nee
Keyword(s):  
Grating Diffraction ◽  
Kirchhoff Model

Degenerate Kirchhoff (p, q)–Fractional systems with critical nonlinearities

2020 ◽  
Vol 23 (3) ◽  
pp. 723-752 ◽  
Author(s):  
Alessio Fiscella ◽  
Patrizia Pucci
Keyword(s):  
Scalar Case ◽  
Fractional Operator ◽  
Nontrivial Solutions ◽  
Fractional Systems ◽  
Lack Of Compactness ◽  
Critical Nonlinearities ◽  
Kirchhoff Model

AbstractThis paper deals with the existence of nontrivial solutions for critical possibly degenerate Kirchhoff fractional (p, q) systems. For clarity, the results are first presented in the scalar case, and then extended into the vectorial framework. The main features and novelty of the paper are the (p, q) growth of the fractional operator, the double lack of compactness as well as the fact that the systems can be degenerate. As far as we know the results are new even in the scalar case and when the Kirchhoff model considered is non–degenerate.

scholarly journals Soft Matter Emerging Investigators Issue 2021 - "Propulsion of an elastic filament in a shear-thinning fluid at low Reynolds numbers"

Soft Matter ◽  
2021 ◽  
Author(s):  
Ke Qin ◽  
Zhiwei Peng ◽  
Ye Chen ◽  
Herve Nganguia ◽  
Lailai Zhu ◽  
...  
Keyword(s):  
Soft Matter ◽  
Reynolds Numbers ◽  
Shear Thinning ◽  
Low Reynolds Numbers ◽  
Elastic Filament ◽  
Low Reynolds ◽  
Micro Organisms ◽  
Surrounding Fluid ◽  
Shear Thinning Fluid ◽  
Flexible Appendages

Some micro-organisms and artificial micro-swimmers propel at low Reynolds numbers (Re) via the interaction of their flexible appendages with the surrounding fluid. While their locomotion have been extensively studied with...

scholarly journals Effects of thermal noise on the transitional dynamics of an inextensible elastic filament in stagnation flow

Soft Matter ◽  
2015 ◽  
Vol 11 (24) ◽  
pp. 4962-4972 ◽  
Author(s):  
Mingge Deng ◽  
Leopold Grinberg ◽  
Bruce Caswell ◽  
George Em Karniadakis
Keyword(s):  
Partial Differential Equations ◽  
Stagnation Point ◽  
Stochastic Partial Differential Equations ◽  
Continuum Model ◽  
Thermal Noise ◽  
Dissipative Particle Dynamics ◽  
Particle Dynamics ◽  
Stagnation Flow ◽  
Anisotropic Friction ◽  
Elastic Filament

We investigate the dynamics of a single inextensible elastic filament subject to anisotropic friction in a viscous stagnation-point flow, by employing both a continuum model represented by Langevin type stochastic partial differential equations (SPDEs) and a dissipative particle dynamics (DPD) method.

scholarly journals Microtubules soften due to cross-sectional flattening

eLife ◽  
2018 ◽  
Vol 7 ◽  
Author(s):  
Edvin Memet ◽  
Feodor Hilitski ◽  
Margaret A Morris ◽  
Walter J Schwenger ◽  
Zvonimir Dogic ◽  
...  
Keyword(s):  
High Strain ◽  
Three Dimensional ◽  
Elastic Model ◽  
Softening Effect ◽  
Cross Sectional ◽  
Mechanical Compliance ◽  
Wide Range ◽  
Elastic Filament ◽  
New Interpretation ◽  
Effective Mechanical Properties

We use optical trapping to continuously bend an isolated microtubule while simultaneously measuring the applied force and the resulting filament strain, thus allowing us to determine its elastic properties over a wide range of applied strains. We find that, while in the low-strain regime, microtubules may be quantitatively described in terms of the classical Euler-Bernoulli elastic filament, above a critical strain they deviate from this simple elastic model, showing a softening response with increasing deformations. A three-dimensional thin-shell model, in which the increased mechanical compliance is caused by flattening and eventual buckling of the filament cross-section, captures this softening effect in the high strain regime and yields quantitative values of the effective mechanical properties of microtubules. Our results demonstrate that properties of microtubules are highly dependent on the magnitude of the applied strain and offer a new interpretation for the large variety in microtubule mechanical data measured by different methods.

scholarly journals Well‐Posedness and Global Behavior of the Peskin Problem of an Immersed Elastic Filament in Stokes Flow

2018 ◽  
Vol 72 (5) ◽  
pp. 887-980 ◽  
Author(s):  
Yoichiro Mori ◽  
Analise Rodenberg ◽  
Daniel Spirn
Keyword(s):  
Stokes Flow ◽  
Global Behavior ◽  
Well Posedness ◽  
Elastic Filament

scholarly journals Флексокалорический эффект в тонких пластинах титаната бария и титаната стронция

2019 ◽  
Vol 61 (12) ◽  
pp. 2510
Author(s):  
А.С. Старков ◽  
И.А. Старков
Keyword(s):  
Strontium Titanate ◽  
Thermodynamic Potential ◽  
Entropy Change ◽  
Field Application ◽  
Plate Bending ◽  
Polarization Distribution ◽  
Cubic Symmetry ◽  
Elastic Fields ◽  
Flexoelectric Effect ◽  
Kirchhoff Model

The flexoelectric effect in a thin plate of a ferroelectric with cubic symmetry is investigated on the basis of the Love-Kirchhoff model. The electric and elastic fields in a ferroelectric are described within the framework of the Landau-Ginzburg thermodynamic potential. The influence of the inhomogeneity of the polarization distribution in the plate is taken into account. Found values for plate bending caused by electric field application make it possible to calculate the dependence of the entropy change on temperature in the barium and strontium titanate plates (flexocaloric effect).

scholarly journals Port-Hamiltonian formulation and symplectic discretization of plate models Part II: Kirchhoff model for thin plates

2019 ◽  
Vol 75 ◽  
pp. 961-981 ◽  
Author(s):  
Andrea Brugnoli ◽  
Daniel Alazard ◽  
Valérie Pommier-Budinger ◽  
Denis Matignon
Keyword(s):  
Hamiltonian Formulation ◽  
Thin Plates ◽  
Plate Models ◽  
Kirchhoff Model
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