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Interlayer coupling in two-dimensional (2D) layered nanomaterials can provide us novel strategies to evoke their superior properties, such as the exotic flat bands and unconventional superconductivity of twisted layers, the formation of…

We propose a methodology for the homogenization of periodic elastic lattices that covers the case of unstable lattices, having affine (macroscopic) or periodic (microscopic) mechanisms. The singular cell problems that are encountered when a…

Soft Condensed Matter · Physics 2025-07-02 Basile Audoly , Claire Lestringant , Hussein Nassar

We propose two classes of mixed finite elements for linear elasticity of any order, with interior penalty for nonconforming symmetric stress approximation. One key point of our method is to introduce some appropriate nonconforming…

Numerical Analysis · Mathematics 2017-05-22 Shuonan Wu , Shihua Gong , Jinchao Xu

We study the homogenisation of geometrically nonlinear elastic composites with high contrast. The composites we analyse consist of a perforated matrix material, which we call the "stiff" material, and a "soft" material that fills the pores.…

Analysis of PDEs · Mathematics 2017-03-02 Mikhail Cherdantsev , Kirill Cherednichenko , Stefan Neukamm

We examine interpolatory model reduction methods that are well-suited for treating large scale port-Hamiltonian differential-algebraic systems in a way that is able to preserve and indeed, take advantage of the underlying structural…

Numerical Analysis · Mathematics 2021-11-03 Chris A. Beattie , Serkan Gugercin , Volker Mehrmann

We present a model for the dynamics of elastic or poroelastic bodies with monopolar repulsive long-range (electrostatic) interactions at large strains. Our model respects (only) locally the non-self-interpenetration condition but can cope…

Analysis of PDEs · Mathematics 2019-08-07 Tomas Roubicek , Giuseppe Tomassetti

Micro-structured materials consisting of an array of microstructures are engineered to provide the specific material properties. This present work investigates the design of cellular materials under the framework of level set, so as to…

Computational Engineering, Finance, and Science · Computer Science 2018-11-13 Jie Gao , Hao Li , Zhen Luo , Liang Gao , Peigen Li

Fibre-reinforced hydrogels are promising materials for biomedical applications due to their strength, toughness, and tunability. However, it remains unclear how to design fibre-reinforced hydrogels for use in specific applications due to…

Soft Condensed Matter · Physics 2025-03-26 Matthew G. Hennessy , Tom Shearer , Axel C. Moore

Soft electronics have recently gathered considerable interest thanks to their bio-mechanical compatibility. An important feature of such deformable conductors is their electrical response to strain. While development of stretchable…

Soft Condensed Matter · Physics 2025-11-14 Louis Martin-Monier , Pierre-Luc Piveteau , Fabien Sorin

Soft elastic composite materials can serve as actuators when they transform changes in external fields into mechanical deformation. Here, we address the corresponding deformational behavior of magnetic gels and elastomers, consisting of…

Soft Condensed Matter · Physics 2023-06-06 Lukas Fischer , Andreas M. Menzel

This paper considers the cohomology and bounded interpolation of nonstandard finite element complexes, e.g. Stokes, Hessian, Elasticity, divdiv. Compared to the standard finite element exterior calculus, the main challenge is the existence…

Numerical Analysis · Mathematics 2025-09-30 Jun Hu , Yizhou Liang , Ting Lin

Confinement can significantly alter fluid properties, offering potential for specific technological applications. However, achieving precise control over the structural complexity of confined fluids and soft matter remains challenging, as…

Soft Condensed Matter · Physics 2024-11-20 Fabio Leoni , Erdal C. Oğuz , Giancarlo Franzese

Thermoplastic polyurethanes (TPU) are block copolymeric materials composed of plastomeric "hard" and elastomeric "soft" domains, by which they exhibit highly resilient yet dissipative large deformation features depending on volume fractions…

The optimization of composition and processing to obtain materials that exhibit desirable characteristics has historically relied on a combination of scientist intuition, trial and error, and luck. We propose a methodology that can…

Machine Learning · Statistics 2017-07-20 Julia Ling , Max Hutchinson , Erin Antono , Sean Paradiso , Bryce Meredig

The plastic flow of a foam results from bubble rearrangements. We study their occurrence in experiments where a foam is forced to flow in 2D: around an obstacle; through a narrow hole; or sheared between rotating disks. We describe their…

Soft Condensed Matter · Physics 2008-01-08 Philippe Marmottant , Christophe Raufaste , François Graner

In this paper, a recently developed Higher Order Microplane (HOM) model for softening and localization, is implemented within a isogeometric finite element framework. The HOM model was derived directly from a three dimensional discrete…

Materials Science · Physics 2016-11-23 Erol Lale , Xinwei Zhou , Gianluca Cusatis

Electrostatic theory preserves charges, but allows dipolar excitations. Elasticity theory preserves dipoles, but allows quadrupolar (Eshelby like) plastic events. Charged amorphous granular systems are interesting in their own right; here…

Soft Condensed Matter · Physics 2020-05-13 Prasenjit Das , H. George E. Hentschel , Itamar Procaccia

Soft materials, such as colloidal suspensions, polymer solutions, and biological systems, are typically multicomponent mixtures of macromolecules and simpler components (e.g., microions, monomers, solvent) that can assemble into complex…

Soft Condensed Matter · Physics 2015-05-13 Alan R. Denton

In environmental applications of extreme value statistics, the underlying stochastic process is often modeled either as a max-stable process in continuous time/space or as a process in the domain of attraction of such a max-stable process.…

Statistics Theory · Mathematics 2018-02-13 Holger Drees , Laurens de Haan , Feridun Turkman

Thermosensitive microgels are widely studied hybrid systems combining properties of polymers and colloidal particles in a unique way. Due to their complex morphology their interactions and packing, and consequentially the viscoelastcity of…

Soft Condensed Matter · Physics 2019-06-19 Gaurasundar M. Conley , James L. Harden , Frank Scheffold
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