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Passive and effective fluid capture and transport at small scale is crucial for industrial and medical applications, especially for the realisation of point-of-care tests. Performing these tests involves several steps including biological…

Fluid Dynamics · Physics 2024-10-15 Emmanuel Siéfert , Benoit Scheid , Fabian Brau , Jean Cappello

Customarily, in-plane auxeticity and synclastic bending behavior (i.e. out-of-plane auxeticity) are not independent, being the latter a manifestation of the former. Basically, this is a feature of three-dimensional bodies. At variance,…

Applied Physics · Physics 2017-11-22 Cesare Davini , Antonino Favata , Andrea Micheletti , Roberto Paroni

Problems of flexible mechanical metamaterials, and highly deformable porous solids in general, are rich and complex due to nonlinear mechanics and nontrivial geometrical effects. While numeric approaches are successful, analytic tools and…

Soft Condensed Matter · Physics 2022-06-08 Yohai Bar-Sinai , Gabriele Librandi , Katia Bertoldi , Michael Moshe

We develop a density based topology optimization method for linear elasticity based on the cut finite element method. More precisely, the design domain is discretized using cut finite elements which allow complicated geometry to be…

Numerical Analysis · Mathematics 2019-03-19 Erik Burman , Daniel Elfverson , Peter Hansbo , Mats G. Larson , Karl Larsson

In this article, we derive a mathematical model for a shell (i.e. a thin elastic body) bonded to an elastic foundation by modifying Koiter's linear shell equations. We prove the existence and the uniqueness of solutions, and we explicitly…

Analysis of PDEs · Mathematics 2023-09-06 Kavinda Jayawardana

Rotating the clamped ends of a buckled elastica induces a snap-through instability. Predicting the limit point and determining the equilibria at the start and end of the snap are routine computations in the quasi-static setting. The…

Soft Condensed Matter · Physics 2025-09-29 Chiraprabha Bhattacharyya , Ramsharan Rangarajan

In recent years, a new method for experimental nonlinear modal analysis has been developed, which is based on the extended periodic motion concept. The method is well suited to experimentally obtain amplitude-dependent modal properties…

Systems and Control · Electrical Eng. & Systems 2021-08-16 Maren Scheel

Semiflexible polymers such as filamentous actin play a vital role in the mechanical behavior of cells, yet the basic properties of cross-linked F-actin networks remain poorly understood. To address this issue, we have performed numerical…

Soft Condensed Matter · Physics 2009-11-10 D. A. Head , A. J. Levine , F. C. MacKintosh

The edge of torn elastic sheets and growing leaves often form a hierarchical buckling pattern. Within non-Euclidean plate theory this complex morphology can be understood as low bending energy isometric immersions of hyperbolic Riemannian…

Soft Condensed Matter · Physics 2015-07-10 John Gemmer , Eran Sharon , Shankar Venkataramani

Nonparametric based methods have recently shown promising results in reconstructing human bodies from monocular images while model-based methods can help correct these estimates and improve prediction. However, estimating model parameters…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Zhe Wang , Jimei Yang , Charless Fowlkes

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

A transient analysis for vesicle deformation under DC electric fields is developed. The theory extends from a droplet model, with the additional consideration of a lipid membrane separating two fluids of arbitrary properties. For the…

Biological Physics · Physics 2015-06-12 Jia Zhang , Jeffery D. Zahn , Wenchang Tan , Hao Lin

We developed a computational framework for simulating thin fluid flow in narrow interfaces between contacting solids, which is relevant for a range of engineering, biological and geophysical applications. The treatment of this problem…

Computational Engineering, Finance, and Science · Computer Science 2021-03-23 Andrei G. Shvarts , Julien Vignollet , Vladislav A. Yastrebov

We study the collective behaviour of a close packed monolayer of non-Brownian particles at a fluid-liquid interface. Such a particle raft forms a two-dimensional elastic solid and can support anisotropic stresses and strains, e.g. it…

Soft Condensed Matter · Physics 2007-05-23 Dominic Vella , Pascale Aussillous , L. Mahadevan

Ultrasound is a continually developing technology that is broadly used for fast, non-destructive mechanical property detection of hard and soft materials in applications ranging from manufacturing to biomedical. In this study, a novel…

Medical Physics · Physics 2019-10-17 Yuqi Jin , Ezekiel Walker , Arkadii Krokhin , Hyeonu Heo , Tae-Youl Choi , Arup Neogi

We formulate and analyze interior penalty discontinuous Galerkin methods for coupled elliptic PDEs modeling excitable tissue, represented by intracellular and extracellular domains sharing a common interface. The PDEs are coupled through a…

Numerical Analysis · Mathematics 2024-11-06 Rami Masri , Keegan L. A. Kirk , Eirill Hauge , Miroslav Kuchta

We present a model to study Young's modulus and Poisson's ratio of the composite material of amorphous nanowires. It is an extension of the model derived by two of us [Da Fonseca and Galvao, Phys. Rev. Lett. 92, 175502 (2004)] to study the…

Materials Science · Physics 2016-08-16 Alexandre F. da Fonseca , C. P. Malta , D. S. Galvão

This article presents a systematic methodology for modeling a class of flexible multidimensional mechanical structures defined by linear elastic relations that directly allows to obtain their infinite-dimensional port-Hamiltonian…

Dynamical Systems · Mathematics 2023-11-08 Cristobal Ponce , Yongxin Wu , Yann Le Gorrec , Hector Ramirez

The red blood cell (RBC) membrane is composed of a lipid bilayer and a cytoskeleton interconnected by protein junction complexes, allowing for potential sliding between the lipid bilayer and the cytoskeleton. Despite this biological…

Fluid Dynamics · Physics 2024-01-23 V. Puthumana , P. G. Chen , M. Leonetti , R. Lasserre , M. Jaeger

We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on staggered Dirichlet-Neumann partitioning. The interface motion in…