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A geometrically nonlinear sandwich beam model founded on the modified couple stress Timoshenko beam theory with K\'arm\'an kinematics is derived and employed in the analysis of periodic sandwich structures. The constitutive model is based…

Classical Physics · Physics 2019-03-20 Bruno Reinaldo Goncalves , Anssi T. Karttunen , Jani Romanoff

The goal of this paper is to apply the recently developed theory of buckling of arbitrary slender bodies to a tractable yet non-trivial example of buckling in axially compressed circular cylindrical shells, regarded as three-dimensional…

Analysis of PDEs · Mathematics 2014-05-06 Yury Grabovsky , Davit Harutyunyan

Given a distribution of defects on a structured surface, such as those represented by 2-dimensional crystalline materials, liquid crystalline surfaces, and thin sandwiched shells, what is the resulting stress field and the deformed shape?…

Materials Science · Physics 2017-02-14 Ayan Roychowdhury , Anurag Gupta

The decay of magnetically dominated turbulence exhibits robust inverse transfer of magnetic energy even in the absence of net magnetic helicity, challenging traditional cascade-based phenomenology. While recent studies suggest that magnetic…

High Energy Astrophysical Phenomena · Physics 2026-01-27 Chandranathan Anandavijayan , Pallavi Bhat

The description of the behavior of a material subjected to multi-physics loadings requires the formulation of constitutive laws that usually derive from Gibbs free energies, using invariant quantities depending on the considered physics and…

Computational Engineering, Finance, and Science · Computer Science 2023-06-14 Julien Taurines , Boris Kolev , Rodrigue Desmorat , Olivier Hubert

We evaluate the conditions for surface stability of a layered magnetoelastic half-space subjected to large deformations and a magnetic field. After reviewing the fundamental measures of deformation and summarizing the magnetostatic…

Numerical Analysis · Mathematics 2026-01-06 Davood Shahsavari , Luis Dorfmann , Prashant Saxena

We consider a class of models motivated by previous numerical studies of wrinkling in highly stretched, thin rectangular elastomer sheets. The model used is characterized by a finite-strain hyperelastic membrane energy perturbed by small…

Analysis of PDEs · Mathematics 2023-09-06 Timothy J. Healey

Experimentally measuring the elastic properties of thin biological surfaces is non-trivial, particularly when they are curved. One technique that may be used is the indentation of a thin sheet of material by a rigid indenter, whilst…

We use three-dimensional direct numerical simulations of the helically forced magnetohydrodynamic equations in spherical shell segments in order to study the effects of changes in the geometrical shape and size of the domain on the growth…

Astrophysics · Physics 2010-01-15 Dhrubaditya Mitra , Reza Tavakol , Axel Brandenburg , David Moss

Magnetic fields, compressibility and turbulence are important factors in many terrestrial and astrophysical processes. While energy dynamics, i.e. how energy is transferred within and between kinetic and magnetic reservoirs, has been…

Plasma Physics · Physics 2017-10-04 Philipp Grete , Brian W. O'Shea , Kris Beckwith , Wolfram Schmidt , Andrew Christlieb

Magnetically driven microparticles provide a versatile platform for probing and manipulating biological systems, yet the physical framework governing their actuation in complex environments remains only partially explored. Within the field…

Soft Condensed Matter · Physics 2025-10-15 Andrea Visonà , Robert Morel , Hélène Joisten , Bernard Dieny , Alice Nicolas

The strong interaction, i.e., quantum chromodynamics at the low energy nuclear regime, is notoriously known to be challenging for predictive modeling. Here, we use the simplest possible nuclear effective field theory (EFT), and show that in…

Nuclear Theory · Physics 2022-07-21 Hilla De-Leon , Doron Gazit

An isogeometric Galerkin approach for analysing the free vibrations of piezoelectric shells is presented. The shell kinematics is specialised to infinitesimal deformations and follow the Kirchhoff-Love hypothesis. Both the geometry and…

Numerical Analysis · Mathematics 2021-05-20 Zhaowei Liu , Andrew McBride , Prashant Saxena , Luca Heltai , Yilin Qu , Paul Steinmann

We discuss several issues regarding material homogeneity and strain compatibility for materially uniform thin elastic shells from the viewpoint of a 3-dimensional theory, with small thickness, as well as a 2-dimensional Cosserat theory. A…

Mathematical Physics · Physics 2015-06-26 Ayan Roychowdhury , Anurag Gupta

We derive the exact solution of the Boltzmann kinetic equation for the three-dimensional Lorentz model in the presence of a constant and uniform magnetic field. The velocity distribution of the electrons reduces exponentially fast to its…

Statistical Mechanics · Physics 2009-11-11 F. Cornu , J. Piasecki

A theory of mechanical behaviour of the magneto-sensitive elastomers is developed in the framework of a linear elasticity approach. Using a regular rectangular lattice model, different spatial distributions of magnetic particles within a…

Soft Condensed Matter · Physics 2011-07-15 D. Ivaneyko , V. Toshchevikov , M. Saphiannikova , G. Heinrich

Recently a significant interest in ferromagnetic curved thin films has appeared. In particular, thin spherical shells are currently of great interest due to their capability to support skyrmion solutions which can be stabilized by curvature…

Analysis of PDEs · Mathematics 2017-09-21 Giovanni Di Fratta

We present results from two-dimensional numerical simulations of the interactions between magnetized shocks and radiative clouds. Our primary goal is to characterize the dynamical evolution of the shocked clouds. We perform runs in both the…

Astrophysics · Physics 2009-11-10 P. Chris Fragile , Peter Anninos , Kyle Gustafson , Stephen D. Murray

A one-dimensional harmonic oscillator in a box is used to introduce the oblique-basis concept. The method is extended to the nuclear shell model by combining traditional spherical states, which yield a diagonal representation of the usual…

Nuclear Theory · Physics 2009-11-07 V. G. Gueorguiev , J. P. Draayer

The present paper is comprised of two parts. First, we give a brief survey of the theoretical framework for microscopic nuclear structure calculations starting from a free nucleon-nucleon potential. Then, we present some selected results of…

Nuclear Theory · Physics 2007-05-23 A. Covello , L. Coraggio , A. Gargano , N. Itaco
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