On the determination of plane and axial symmetries in linear Elasticity and Piezo-electricityWe formulate necessary and sufficient conditions for a unit vector n to generate a plane or axial symmetry of a constitutive tensor. For the elasticity tensor, these conditions consist of two…Marc Olive, Boris Desmorat, Boris Kolev et al.·Mar 25, 2020SaveLearn
Counter-rotation of magnetic beads in spinning fieldsA magnetized bead in a magnetic field seeks to minimize its magnetic free energy by aligning its magnetic moment with the field direction and by moving towards the maximum of the field's…Jean Farago, Thierry Charitat, Alexandre Bigot et al.·Mar 24, 2020SaveLearn
Geometric Origin of the Tennis Racket EffectThe tennis racket effect is a geometric phenomenon which occurs in a free rotation of a three-dimensional rigid body. In a complex phase space, we show that this effect originates from a pole of a…P. Mardesic, L. Van Damme, G. J. Gutierrez Guillen et al.·Mar 24, 2020SaveLearn
From Kepler's laws to Newton's law: a didactical proofAn elementary derivation of the Newton "inverse square law" from the three Kepler laws is proposed. Our proof, thought essentially for first-year undergraduates, basically rests on Euclidean…Riccardo Borghi·Mar 24, 2020SaveLearn
Images of point charges in conducting ellipses and prolate spheroidsThis is an investigation into the exact forms of images of point charges in 2D conducting ellipses and 3D prolate spheroids. For an ellipse with exterior point source, we compare two previous…Matt Majic·Mar 20, 2020SaveLearn
Tunable Order of Helically Confined ChargesWe investigate a system of equally charged Coulomb-interacting particles confined to a toroidal helix in the presence of an external electric field. Due to the confinement, the particles experience…Ansgar Siemens, Peter Schmelcher·Mar 19, 2020SaveLearn
A Remark on stress of a spatially uniform dislocation density fieldIn an interesting recent paper [1] (A. Acharya, Stress of a spatially uniform dislocation density field, J. Elasticity 137 (2019), 151--155), Acharya proved that the stress produced by a spatially…Siran Li·Mar 18, 2020SaveLearn
Efficient Statistical Model for Predicting Electromagnetic Wave Distribution in Coupled EnclosuresThe Random Coupling Model (RCM) has been successfully applied to predicting the statistics of currents and voltages at ports in complex electromagnetic (EM) enclosures operating in the short…Shukai Ma, Sendy Phang, Zachary Drikas et al.·Mar 16, 2020SaveLearn
On non-monochromatic plane-wave solutions of Maxwell's equationsIn electrodynamics courses and textbooks the properties of plane electromagnetic waves in both conducting and non-conducting media are typically studied from the point of view of the prototype case…C. J. Papachristou·Mar 16, 2020SaveLearn
Laplace Stretch: Eulerian and Lagrangian FormulationsTwo triangular factorizations of the deformation gradient tensor are studied. The first, termed the Lagrangian formulation, consists of an upper-triangular stretch premultiplied by a rotation tensor.…Alan D. Freed, Shahla Zamani, Laszlo Szabo et al.·Mar 13, 2020SaveLearn
Comment on "Basic observables for the accelerated electron and its field"We show that the "defective" terms in the expression that Dondera [Phys. Rev. D 98, 096008 (2018)] obtained for the momentum of the retarded field of an accelerating point charge are…V. Hnizdo, G. Vaman·Mar 10, 2020SaveLearn
Mechanics of Incompressible Test Bodies Moving in Riemannian SpacesIn the present paper we have discussed the mechanics of incompressible test bodies moving in Riemannian spaces with non-trivial curvature tensors. For Hamilton's equations of motion the solutions…Vasyl Kovalchuk, Barbara Gołubowska, Ewa Eliza Rożko·Mar 6, 2020SaveLearn
Dissipation in Lagrangian formalismIn this paper we present a method with which it is possible to describe a dissipative system in Lagrangian formalism, without the trouble of finding the proper way to model the environment. The…András Szegleti, Ferenc Márkus·Mar 6, 2020SaveLearn
Self-Dual Boundary Conditions in ElectromaagneticsInvariance in duality transformation, the self-dual property, has important applications in electromagnetic engineering. In the present paper, the problem of most general linear and local boundary…Ismo V. Lindell, Ari Sihvola·Mar 6, 2020SaveLearn
A Pneumatic Chaotic PendulumI present a chaotic pendulum based on the repulsive force between a random array of point sources of air flow and the conical tip of a rigid pendulum. Source code is provided for generation of random…Devlin Gualtieri·Mar 5, 2020SaveLearn
Skier and loop-the-loop with frictionWe solve analytically the differential equations for a skier on a circular hill and for a particle on a loop-the-loop track when the hill or track is endowed with a coefficient of kinetic friction…Dominik Kufel, Alan D. Sokal·Mar 4, 2020SaveLearn
Newton's discrete dynamicsIn 1687 Isaac Newton published PHILOSOPHIÆ\ NATURALIS PRINCIPIA MATHEMATICA, where the classical analytic dynamics was formulated. But Newton also formulated a discrete dynamics, which is the central…Søren Toxvaerd·Mar 4, 2020SaveLearn
Sound transmission loss through double glazing windows in low frequency rangeThe domestic windows in the exterior building facade play a significant role in sound insulation against outdoor airborne noise. The prediction of their acoustic performances is classically carried…Walid Larbi, Chaima Soussi, Jean-François Deü et al.·Mar 2, 2020SaveLearn
Perfect Absorption in a Metasurface-Programmable Complex Scattering EnclosureAchieving the very special condition of perfect absorption (PA) in a complex scattering enclosure promises to enable a wealth of applications in secure communication, precision sensing, wireless…Mohammadreza F. Imani, David R. Smith, Philipp del Hougne·Feb 29, 2020SaveLearn
Port-Hamiltonian flexible multibody dynamicsA new formulation for the modular construction of flexible multibody systems is presented. By rearranging the equations for a flexible floating body and introducing the appropriate canonical momenta,…Andrea Brugnoli, Daniel Alazar, Valérie Pommier-Budinger et al.·Feb 27, 2020SaveLearn
Dodecanacci superconductor-metamaterial photonic quasicrystalUsing the transfer matrix method, the present paper attempt to determine the properties of the photonic spectra of the Dodecanacci superconductor-metamaterial one-dimensional quasiperiodic…Chittaranjan Nayak, Alireza Aghajamali, Mehdi Solaimani et al.·Feb 26, 2020SaveLearn
On the stability of uniform motionWe show that the uniform motion of a homogeneous distribution of electric charge can be stable or unstable depending on its geometry. When the electrodynamic body is perturbed from a state of rest,…Álvaro G. López·Feb 22, 2020SaveLearn
Interaction between Surface Waves on Wire LinesThis paper investigates the coupling properties between surface waves on parallel wires. Finite Element Method (FEM) based and analytical models are developed for both single wire Sommerfeld and…D. Molnar, T. Schaich, A. Al Rawi et al.·Feb 20, 2020SaveLearn
Determination of Young's modulus of samples of arbitrary thickness from force distance curves: numerical investigations and simple approximate formulaeWe present simple expressions for load required to indent a layer of arbitrary thickness with a conical, paraboloidal or cylindrical punch. A rigid substrate underneath the sample leads to an…Paweł Hermanowicz·Feb 20, 2020SaveLearn
A pre-metric generalization of the Lorentz transformationThe concept of an observer and their associated rest space is defined in a pre-metric (i.e., projective-geometric) context that relates to time+space decompositions of the tangent bundle to…D. H. Delphenich·Feb 20, 2020SaveLearn