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We study the peculiar wrinkling pattern of an elastic plate stamped into a spherical mold. We show that the wavelength of the wrinkles decreases with their amplitude, but reaches a maximum when the amplitude is of the order of the thickness…

Soft Condensed Matter · Physics 2015-06-05 J. Hure , B. Roman , J. Bico

The adiabatic elastic modulus is often useful in the high frequency response of materials. Unfortunately, it can be much more difficult to directly measure the adiabatic elastic modulus of material than the isothermal elastic modulus. We…

Materials Science · Physics 2016-05-24 Michael J. Waters , Andrew W. Bielawski

A relationship is established between the effective Youngs modulus of a two-phase elastic composite and a known mathematical mean value. Specifically, the effective Youngs modulus of a composite obtained from repeated parallel and serial…

Classical Physics · Physics 2024-09-17 Jiashi Yang

A rigorous methodology is developed for computing elastic fields generated by experimentally observed defect structures within grains in a polycrystal that has undergone tensile extension. An example application is made using a near-field…

Materials Science · Physics 2023-10-10 Siddharth Singh , He Liu , Rajat Arora , Robert M. Suter , Amit Acharya

The elastic properties of a material with spherical voids of equal volume are analysed using a new model, with particular attention paid to the hexagonal close-packed and the face-centred cubic arrangement of voids. Void fractions well…

Materials Science · Physics 2016-11-11 Sascha Heitkam , Wiebke Drenckhan , Denis Weaire , Jochen Froehlich

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

In this work the linear elastic properties of materials containing spherical voids are calculated and compared using finite element simulations. The focus is on homogeneous solid materials with spherical, empty voids of equal size. The…

We consider a one dimensional elastic string as a set of massless beads interacting through springs characterized by anisotropic elastic constants. The string, driven by an external force, moves in a medium with quenched disorder. We…

Condensed Matter · Physics 2009-10-28 Hernán A. Makse , Albert-László Barabási , H. Eugene Stanley

We study the depinning transitions of elastic strings in disordered media in two different cases. We consider the elastic forces to be of infinite range in one case, where the magnitude is proportional to the extension of the string. The…

Statistical Mechanics · Physics 2011-08-09 Soumyajyoti Biswas , Bikas K. Chakrabarti

Small flexible fibers in a turbulent flow are found to be most of the time as straight as stiff rods. This is due to the cooperative action of flexural rigidity and fluid stretching. However, fibers might bend and buckle when they tumble…

Fluid Dynamics · Physics 2019-11-15 Sofia Allende , Christophe Henry , Jeremie Bec

The normal modes of a continuum solid endowed with a random distribution of line defects that behave like elastic strings are described. These strings interact with elastic waves in the bulk, generating wave dispersion and attenuation. As…

Materials Science · Physics 2015-06-23 Fernando Lund

We formulate an effective medium (mean field) theory of a material consisting of randomly distributed nodes connected by straight slender rods, hinged at the nodes. Defining novel wavelength-dependent effective elastic moduli, we calculate…

Soft Condensed Matter · Physics 2015-06-05 J. I. Katz , J. J. Hoffman , M. S. Conradi , J. G. Miller

To produce sounds, we adjust the tension of our vocal folds to shape their properties and control the pitch. This efficient mechanism offers inspiration for designing reconfigurable materials and adaptable soft robots. However,…

Soft Condensed Matter · Physics 2025-06-18 Alexandre Delory , Daniel A. Kiefer , Maxime Lanoy , Antonin Eddi , Claire Prada , Fabrice Lemoult

In this letter, elastic properties of highly anisotropic cellular poly(propylene) films are reported. The material shows peculiar elastic properties compared to other foams in the literature. The data is displayed as the relative Young's…

Materials Science · Physics 2007-05-23 Enis Tuncer , Michael Wegener

Polar regions are covered by sea ice, which can be seen as a thin solid elastic sheet with heterogeneous mechanical properties. The dynamics of deformation of a floating solid sheet are primarly governed by gravity, water density, and the…

Fluid Dynamics · Physics 2025-09-03 G. Le Doudic , M. Jafari , J. Barckicke , S. Perrard , A. Eddi

The elastic properties of semiflexible polymers are of great importance in biology. There are experiments on biopolymers like double stranded DNA, which twist and stretch single molecules to probe their elastic properties. It is known that…

Soft Condensed Matter · Physics 2010-12-01 Supurna Sinha , Joseph Samuel

A versatile approach to modeling the conformations and energetics of DNA loops is presented. The model is based on the classical theory of elasticity, modified to describe the intrinsic twist and curvature of DNA, the DNA bending…

Biological Physics · Physics 2007-05-23 Alexander Balaeff , L. Mahadevan , Klaus Schulten

We study a material modeled as a network of nodes connected by edges. Using a discrete approach, we build a nonlinear algebraic system that connects applied forces to internal forces and node positions. The model can describe elasticity,…

Optimization and Control · Mathematics 2025-10-14 Ioannis Dassios

There are many fields where it is of interest to measure the elastic moduli of tiny fragile fibers, such as filamentous bacteria, actin filaments, DNA, carbon nanotubes, and functional microfibers. The elastic modulus is typically deduced…

Soft Condensed Matter · Physics 2024-03-20 Yuan Liu , Jack Hau Yung Lo , Janine K. Nunes , Howard A. Stone , Ho Cheung Shum

Characterizing the elastic properties of soft materials through bulge testing relies on accurate measurement of deformation, which is experimentally challenging. To avoid measuring deformation, we propose a hydrodynamic bulge test for…

Soft Condensed Matter · Physics 2020-03-17 Vishal Anand , Sanjan C. Muchandimath , Ivan C. Christov