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The article addresses the mathematical modeling of the folding of a thin elastic sheet along a prescribed curved arc. A rigorous model reduction from a general hyperelastic material description is carried out under appropriate scaling…

数值分析 · 数学 2022-02-09 Sören Bartels , Andrea Bonito , Peter Hornung

In this letter, we develop a framework to study the mechanical response of athermal amorphous solids via a coupling of mesoscale and microscopic models. Using measurements of coarse grained quantities from simulations of dense disordered…

软凝聚态物质 · 物理学 2021-04-07 Chen Liu , Suman Dutta , Pinaki Chaudhuri , Kirsten Martens

Characterizing the softness of deformable materials having partial elastic and partial viscous behaviour via soft lubrication experiments has emerged as a versatile and robust methodology in recent times. However, a straightforward…

软凝聚态物质 · 物理学 2021-07-22 Pratyaksh Karan , Jeevanjyoti Chakraborty , Suman Chakraborty

The shapes of epithelial tissues result from a complex interplay of contractile forces in the cytoskeleta of the cells in the tissue, and adhesion forces between them. A host of discrete, cell-based models describe these forces by assigning…

软凝聚态物质 · 物理学 2019-02-27 Pierra A. Haas , Raymond E. Goldstein

During growth, tissue expands and deforms. Given its elastic properties, stresses emerge in an expanding and deforming tissue. Cell rearrangements can dissipate these stresses and numerous experiments confirm the viscoelastic properties of…

组织与器官 · 定量生物学 2017-10-20 M. D. Peters , D. Iber

Using confocal microscopy, we measure the packing geometry and interdroplet forces as a function of the osmotic pressure in a 3D emulsion system. We find that the nonlinear elastic response of the pressure with density is not a result of…

软凝聚态物质 · 物理学 2015-06-11 Ivane Jorjadze , Lea-Laetitia Pontani , Jasna Brujic

Morphogenetic dynamics of tissue sheets require coordinated cell shape changes regulated by global patterning of mechanical forces. Inspired by such biological phenomena, we propose a minimal mechanochemical model based on the notion that…

软凝聚态物质 · 物理学 2021-01-01 Andrei Zakharov , Kinjal Dasbiswas

We derive stretching and bending energies for isotropic elastic plates and shells. Through the dimensional reduction of a bulk elastic energy quadratic in Biot strains, we obtain two-dimensional bending energies quadratic in bending…

软凝聚态物质 · 物理学 2025-06-03 E. Vitral , J. A. Hanna

We consider equivalent mechanical model of liquid sloshing in partially-filled cylindrical vessel; the model treats both the regime of linear sloshing, and strongly nonlinear sloshing regime. The latter is related to hydraulic impacts…

流体动力学 · 物理学 2017-10-11 M. Farid , O. V. Gendelman

We study the nucleation dynamics of a model solid state transformation and the criterion for microstructure selection using a molecular dynamics (MD) simulation. Our simulations show a range of microstructures depending on the depth of…

材料科学 · 物理学 2008-03-01 Jayee Bhattacharya , Arya Paul , Surajit Sengupta , Madan Rao

A geometrically exact dimensionally reduced order model for the nonlinear deformation of thin magnetoelastic shells is presented. The Kirchhoff-Love assumptions for the mechanical fields are generalised to the magnetic variables to derive a…

经典物理 · 物理学 2023-08-25 Abhishek Ghosh , Andrew McBride , Zhaowei Liu , Luca Heltai , Paul Steinmann , Prashant Saxena

We measure the dynamical mechanical properties of human red blood cells. Single cell response is measured with optical tweezers. We investigate both the stress relaxation following a fast deformation, and the effect of varying the strain…

软凝聚态物质 · 物理学 2009-11-13 Young-Zoon Yoon , Jurij Kotar , Gilwon Yoon , Pietro Cicuta

We extend the theory of structured deformations to the setting of linearized elasticity by providing an integral representation for the underlying energy that features bulk and surface contributions. Our derivation is obtained both via a…

偏微分方程分析 · 数学 2026-01-19 Manuel Friedrich , José Matias , Elvira Zappale

In this work, we report a direct measurement of the forces exerted by a tubulin/kinesin active nematic gel as well as its complete rheological characterization, including the quantification of its shear viscosity, {\eta}, and its activity…

软凝聚态物质 · 物理学 2024-04-22 Ignasi Vélez-Cerón , Pau Guillamat , Francesc Sagués , Jordi Ignés-Mullol

The three-dimensional shapes of thin lamina such as leaves, flowers, feathers, wings etc, are driven by the differential strain induced by the relative growth. The growth takes place through variations in the Riemannian metric, given on the…

偏微分方程分析 · 数学 2014-01-09 Marta Lewicka , L. Mahadevan , Mohammad Reza Pakzad

We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

元胞自动机与格子气 · 物理学 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

Hysteretic damping is often modeled by means of linear viscoelastic approaches such as "nearly constant Attenuation (NCQ)" models. These models do not take into account nonlinear effects either on the stiffness or on the damping, which are…

经典物理 · 物理学 2010-07-28 Nicolas Delépine , Luca Lenti , Guy Bonnet , Jean-François Semblat

We develop a continuum theory of linear viscoelastic response in oriented monodomain nematic elastomers. The expression for dissipation function is analogous to the Leslie-Ericksen version of anisotropic nematic viscosity; we propose the…

软凝聚态物质 · 物理学 2009-11-07 E. M. Terentjev , M. Warner

The study of cells' dynamical properties is essential to a better understanding of several physiological processes. These properties are directly associated with cells' mechanical parameters experimentally achieved through physical stress.…

软凝聚态物质 · 物理学 2022-01-26 G. Ourique , E. F. Teixeira , L. G. Brunnet

We propose bending energies for isotropic elastic plates and shells. For a plate, we define and employ a surface tensor that symmetrically couples stretch and curvature such that any elastic energy density constructed from its invariants is…

软凝聚态物质 · 物理学 2022-06-22 E. Vitral , J. A. Hanna