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Dislocations in a material will, when present in enough numbers, change the speed of propagation of elastic waves. Consequently, two material samples, differing only in dislocation density, will have different elastic constants, a quantity…

Understanding the geometry of learned distributions is fundamental to improving and interpreting diffusion models, yet systematic tools for exploring their landscape remain limited. Standard latent-space interpolations fail to respect the…

Machine Learning · Statistics 2026-02-26 Elio Moreau , Florentin Coeurdoux , Grégoire Ferre , Eric Vanden-Eijnden

The water flow through the poly(acrylamide) gel under a constant water pressure is measured by newly designed apparatus. The time evolution of the water flow in the gel, is calculated based on the collective diffusion model of the polymer…

Soft Condensed Matter · Physics 2015-05-13 Yasuo Y. Suzuki , Masayuki Tokita , Sata-atsu Mukai

Two-sided flux decoration experiments indicate that threading dislocation lines (TDLs), which cross the entire film, are sometimes trapped in metastable states. We calculate the elastic energy associated with the meanderings of a TDL. The…

Superconductivity · Physics 2008-02-03 M. -Carmen Miguel , Mehran Kardar

Mechanical and elastic properties of materials are among the most fundamental quantities for many engineering and industrial applications. Here, we present a formulation that is efficient and accurate for calculating the elastic and bending…

Materials Science · Physics 2026-03-23 Changpeng Lin , Samuel Poncé , Francesco Macheda , Francesco Mauri , Nicola Marzari

The effect of hydrostatic strain and of interstitial hydrogen on the elastic properties of $\alpha$-iron is investigated using \textit{ab initio} density-functional theory calculations. We find that the cubic elastic constants and the…

Materials Science · Physics 2014-04-07 D. Psiachos , T. Hammerschmidt , R. Drautz

We study a class of elastic systems described by a (hyperbolic) partial differential equation. Our working example is the equation of a vibrating string subject to linear disturbance. The main goal is to establish conditions for…

Analysis of PDEs · Mathematics 2007-05-23 M. I. Caiado , A. V. Sarychev

The classical flexure problem of non-linear incompressible elasticity is revisited for elastic materials whose mechanical response is different in tension and compression---the so-called bimodular materials. The flexure problem is chosen to…

Soft Condensed Matter · Physics 2013-03-11 Michel Destrade , Jerry G. Murphy , Badar Rashid

Although mechanical properties of DNA are well characterized at the kilo base-pair range, a number of recent experiments have suggested that DNA is more flexible at shorter length scales, which correspond to the regime that is crucial for…

Biomolecules · Quantitative Biology 2015-06-11 Agnes Noy , Ramin Golestanian

The elastic properties of a self-assembled bilayer membrane are studied using the self-consistent field theory, applied to a model system composed of flexible amphiphilic chains dissolved in hydrophilic polymeric solvents. Examining the…

Biological Physics · Physics 2013-07-19 Jianfeng Li , Kyle A. Pastor , An-Chang Shi , Friederike Schmid , Jiajia Zhou

Finite element analysis has been used successfully to estimate the effective properties of many types of composites. The prediction of effective elastic moduli of polymer-bonded explosives provides a new challenge. These particulate…

Materials Science · Physics 2007-05-23 Biswajit Banerjee

A homogenised model is developed to describe the interaction between aligned strings and an incompressible, viscous, Newtonian fluid. In the case of many strings, the ratio of string separation to domain width gives a small parameter which…

Fluid Dynamics · Physics 2022-02-15 A. Kent , S. L. Waters , J. Oliver , S. J. Chapman

Young's Modulus and dynamic force moduli were measured on human bronchial airway tissues by compression. A simple and low-cost system for measuring the tensile-strengh of soft bio-materials has been built for this study. The force-distance…

Biological Physics · Physics 2011-11-28 Jau-Yi Wang , Patrick Mesquida , Prathap Pallai , Chris J Corrigan , Tak H Lee

One of the central appealing properties of magnetic gels and elastomers is that their elastic moduli can reversibly be adjusted from outside by applying magnetic fields. The impact of the internal magnetic particle distribution on this…

Soft Condensed Matter · Physics 2014-10-22 Giorgio Pessot , Peet Cremer , Dmitry Y. Borin , Stefan Odenbach , Hartmut Löwen , Andreas M. Menzel

We explore corrections in the blackfold approach, which is a worldvolume theory capturing the dynamics of thin black branes. The corrections probe the fine structure of the branes, going beyond the approximation in which they are infinitely…

High Energy Physics - Theory · Physics 2014-12-23 Jay Armas , Joan Camps , Troels Harmark , Niels A. Obers

We develop a magnetic ribbon model for molecular cloud filaments. These result from turbulent compression in a molecular cloud in which the background magnetic field sets a preferred direction. We argue that this is a natural model for…

Astrophysics of Galaxies · Physics 2017-03-15 Sayantan Auddy , Shantanu Basu , Takahiro Kudoh

We present a simple method for accessing the elastic properties of microscopic deformable particles. This method is based on measuring the pressure-induced deformation of soft particles as they are forced through a tapered glass…

Soft Condensed Matter · Physics 2012-09-04 Hans M. Wyss , Thomas Franke , Elisa Mele , David A. Weitz

Despite the critical importance of the elastic properties of modern materials, there is not a singular model that can predict the modulus to an accuracy needed for industrial glass design. To address this problem, we propose an approach to…

Materials Science · Physics 2019-02-15 Collin J. Wilkinson , Qiuju Zheng , Liping Huang , John. C. Mauro

Using dimensionally reduced models for the numerical simulation of thin objects is highly attractive as this reduces the computational work substantially. The case of narrow thin elastic bands is considered and a convergent finite element…

Numerical Analysis · Mathematics 2019-11-20 Sören Bartels

Extra-large deformations in ultra-soft elastic materials are ubiquitous, yet systematic studies and methods to understand the mechanics of such huge strains are lacking. Here we investigate this complex problem systematically with a simple…

Materials Science · Physics 2017-01-04 Aditi Chakrabarti , Manoj K. Chaudhury , Serge Mora , Yves Pomeau
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