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The buckling instabilities of core-shell systems, comprising an interior elastic sphere, attached to an exterior shell, have been proposed to underlie myriad biological morphologies. To fully discuss such systems, however, it is important…

Soft Condensed Matter · Physics 2023-07-12 Yingzhen Tian , Megan McCarthy , Megan King , S. G. J. Mochrie

A novel mathematical model for fiber-reinforced materials is proposed. It is based on a 1-dimensional beam model for the thin fiber structures, a flexible and general 3-dimensional elasticity model for the matrix and an overlapping domain…

Computational Engineering, Finance, and Science · Computer Science 2021-05-12 Ustim Khristenko , Stefan Schuß , Melanie Krüger , Felix Schmidt , Barbara Wohlmuth , Christian Hesch

We developed an analytical theoretical method to determine the microscopical structure of weakly to moderately sheared colloidal suspensions in dilute conditions. The microstructure is described by the static structure factor, obtained by…

Soft Condensed Matter · Physics 2022-05-25 Simone Riva , Luca Banetta , Alessio Zaccone

We explore the phase behavior and structure of orthogonal smectic liquid crystals consisting of bent-core molecules (BCMs) by means of Monte Carlo molecular simulations. A simple athermal molecular model is introduced that describes the…

Soft Condensed Matter · Physics 2016-07-26 Stavros D. Peroukidis , Alexandros G. Vanakaras , Demetri J. Photinos

One of the key aspects governing the mechanical performance of composite materials is debonding: the local separation of reinforcing constituents from matrix when the interfacial strength is exceeded. In this contribution, two strategies to…

Materials Science · Physics 2009-08-12 P. Gruber , J. Zeman , J. Kruis , M. Sejnoha

A refined a priori error analysis of the lowest order (linear) Virtual Element Method (VEM) is developed for approximating a model two dimensional Poisson problem. A set of new geometric assumptions is proposed on shape regularity of…

Numerical Analysis · Mathematics 2018-10-25 Shuhao Cao , Long Chen

We consider a nonlinear Timoshenko system of partial differential equations (PDEs) with a frictional damping term in rotation angle. The nonlinearity is due to the arbitrary dependence on the rotation moment. A Lie symmetry group…

Analysis of PDEs · Mathematics 2016-12-22 S. M. Al-Omari , F. D. Zaman , A. Y. Al-Dweik , Ryad A Ghanam

Enabling highly-mobile millimeter wave (mmWave) and terahertz (THz) wireless communication applications requires overcoming the critical challenges associated with the large antenna arrays deployed at these systems. In particular, adjusting…

Signal Processing · Electrical Eng. & Systems 2021-11-16 Gouranga Charan , Tawfik Osman , Andrew Hredzak , Ngwe Thawdar , Ahmed Alkhateeb

In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo's law. In the absense of any additional mechanical dissipations, the system is often not…

Analysis of PDEs · Mathematics 2015-06-18 Michael Pokojovy

Amorphous solids are critical in the design and production of nanoscale devices, but under strong confinement these materials exhibit changes in their mechanical properties which are not well understood. Phenomenological models explain…

Soft Condensed Matter · Physics 2018-09-20 Robert J. S. Ivancic , Robert A. Riggleman

We study networks of coupled bistable elastic elements, recently proposed as a model for crumpled thin sheets. The networks are poised on the verge of a localized instability, and the model allows unique access to both local and global…

Soft Condensed Matter · Physics 2024-08-16 Dor Shohat , Yoav Lahini , Daniel Hexner

The known ground state of ultrathin smectic films confined to the surface of a sphere is described by four +1/2 defects assembled on a great circle and a director which follows geodesic lines. Using a simple perturbative approach we show…

Soft Condensed Matter · Physics 2016-01-12 O. V. Manyuhina , M. J. Bowick

Spinodal decomposition, a key mechanism to microstructure formation in materials, has long posed challenges for predictive modeling, due to the need for parameter-free approaches that accurately capture local energy landscapes. In this…

Materials Science · Physics 2026-02-16 Simon Divilov , Hagen Eckert , Nico Hotz , Xiomara Campilongo , Stefano Curtarolo

The interaction of electromagnetic radiation with a spheric-type three-dimensional topological insulator (TI) bead is described within classical optics framework. By virtue of the topological magnetoelectric effect (TMEE) experienced by…

Mesoscale and Nanoscale Physics · Physics 2016-09-02 Yuri G. Muller , Winder A. Moura-Melo , Jakson M. Fonseca

In various types of many-particle systems, bidispersity is frequently used to avoid spontaneous ordering in particle configuration. In this study, the relation between bidispersity and disorder degree of particle configuration is…

We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy force-stresses and curvature contribution depending only on the micro-dislocation tensor. Our relaxed model is still able to fully describe rotation of…

Mathematical Physics · Physics 2015-06-16 Patrizio Neff , Ionel-Dumitrel Ghiba , Angela Madeo , Luca Placidi , Giuseppe Rosi

The aim of this paper is to develop a virtual element method (VEM) for the vibration problem of thin plates on polygonal meshes. We consider a variational formulation relying only on the transverse displacement of the plate and propose an…

Numerical Analysis · Mathematics 2017-03-14 David Mora , Gonzalo Rivera , Iván Velásquez

The objective of this paper is to study the stability of a linear one-dimensional thermoelastic Bresse system in a bounded domain, where the coupling is given through the first component of the Bresse model with the heat conduction of…

Analysis of PDEs · Mathematics 2021-02-04 Aissa Guesmia

Granular materials show inhomogeneous flows characterized by strain localization. When strain is localized in a sheared granular material, rigid regions of a nearly undeformed state are separated by shear bands, where the material yields…

Soft Condensed Matter · Physics 2023-11-07 Aditya Pratap Singh , Vasileios Angelidakis , Thorsten Pöschel , Sudeshna Roy

The use of integrated MicroElectroMechanical systems (MEMS) is recently spread thanks to their improved sensitivity, accuracy and reliability. Accurate preliminary computations born from the need of high precision in the manufacturing…

Applied Physics · Physics 2018-03-15 Francesca Fantoni , Andrea Bacigalupo , Marco Paggi