Representing the stress and strain energy of elastic solids with initial stress and transverse texture anisotropyReal-world solids, such as rocks, soft tissues, and engineering materials, are often under some form of stress. Most real materials are also, to some degree, anisotropic due to their microstructure,…Soumya Mukherjee, Michel Destrade, Artur L. Gower·Aug 6, 2022SaveLearn
A unified framework for linear thermo-visco-elastic wave propagation including the effects of stress-relaxationWe present a unified framework for the study of wave propagation in homogeneous linear thermo-visco-elastic (TVE) continua, starting from conservation laws. In free-space such media admit two…Erik García Neefjes, David Nigro, Artur L. Gower et al.·Aug 6, 2022SaveLearn
Optimal Profile Design for Acoustic Black Holes using Timoshenko beam TheoryWe revisit the problem of constructing one-dimensional acoustic black holes. Instead of considering the Euler-Bernoulli beam theory, we use Timoshenko's approach instead, which is known to be…Kasper S. Sørensen, Horia D. Cornean, Sergey Sorokin·Aug 4, 2022SaveLearn
Avoiding small denominator problems by means of the homotopy analysis methodThe so-called ``small denominator problem'' was a fundamental problem of dynamics, as pointed out by Poincaré. Small denominators appear most commonly in perturbative theory. The Duffing…Shijun Liao·Aug 3, 2022SaveLearn
Motion of a parametrically driven damped coplanar double pendulumWe present the results of linear stability of a damped coplanar double pendulum and its non-linear motion, when the point of suspension is vibrated sinusoidally in the vertical direction with…Rebeka Sarkar, Krishna Kumar, Sugata Pratik Khastgir·Aug 2, 2022SaveLearn
Completely Spin-Decoupled Geometric Phase of MetasurfaceMetasurfaces have provided unprecedented degree of freedom (DOF) in manipulating electromagnetic (EM) waves. Geometric phase can be readily obtained by rotating the meta-atom of metasurfaces.…Xinmin Fu, Jie Yang, Jiafu Wang et al.·Aug 2, 2022SaveLearn
On the existence of pure, broadband toroidal sources in electrodynamicsMultipoles are paramount for describing electromagnetic fields in many areas of nanoscale optics, playing an essential role for the design of devices in plasmonics and all-dielectric nanophotonics.…Adrià Canós Valero, Dmitrii Borovkov, Mikhail Sidorenko et al.·Aug 2, 2022SaveLearn
Dimensionless solutions of the wave equationPlane waves are regarded as the general solution of the wave equation. However the plane wave expansion of standing waves by means of complex phasors leads to a theory in which the time coordinate…J. Blas, J. L. Gutiérrez, E. J. Abril·Aug 1, 2022SaveLearn
The Effect of Charge Discretization on the Electrical Field inside a ConductorWe show how the electrical field inside the conductor changes as a function of the number of charged-particles. We show that the non-vanishing electrical field is concentrated near the surface of the…Nam H. Nguyen, Quy C. Tran, Thach A. Nguyen et al.·Jul 31, 2022SaveLearn
The expanded Maxwell's equations for a mechano-driven media system that moves with accelerationIn classical electrodynamics, by motion for either the observer or the media, it always naturally assumed that the relative moving velocity is a constant along a straight line (e.g., in inertia…Zhong Lin Wang·Jul 24, 2022SaveLearn
Analytical solutions for Bloch waves in resonant phononic crystals: Deep subwavelength energy splitting and mode steering between topologically protected interfacial and edge statesWe derive analytical solutions based on singular Green's functions, which enable efficient computations of scattering simulations or Floquet-Bloch dispersion relations for waves propagating…Richard Wiltshaw, Jacopo Maria De Ponti, Richard Vaughan Craster·Jul 22, 2022SaveLearn
Maxwell's Displacement Current and the Magnetic Field between Capacitor ElectrodesA long-standing controversy concerning the causes of the magnetic field in and around a parallel-plate capacitor is examined. Three possible sources of contention are noted and detailed. The first is…Toshio Hyodo·Jul 22, 2022SaveLearn
Generalized Hertz vector in the dissipative electrodynamicsIn the electromagnetic theory, the Hertz vector reduces the number of potentials in the free fields. The further advantage of this potential is that it is much easier to solve some radiation…Katalin Gambár, Ferenc Márkus·Jul 20, 2022SaveLearn
A quest for the origin of the Sagnac effectIn the literature, there is no consensus on the origin of the relativistic Sagnac effect, particularly from the standpoint of the rotating observer. The experiments of Wang et al.…Arunabha Bhadra, Souvik Ghose, Biplab Raychaudhuri·Jul 19, 2022SaveLearn
Buckling of thin-walled cylinders from three dimensional nonlinear elasticityThe famous bifurcation analysis performed by Flügge on compressed thin-walled cylinders is based on a series of simplifying assumptions, which allow to obtain the bifurcation landscape, together with…Roberta Springhetti, Gabriel Rossetto, Davide Bigoni·Jul 19, 2022SaveLearn
Complete general solutions for equilibrium equations of isotropic strain gradient elasticityIn this paper, we consider isotropic Mindlin-Toupin strain gradient elasticity theory in which the equilibrium equations contain two additional length-scale parameters and have the fourth order. For…Yury Solyaev·Jul 18, 2022SaveLearn
Directional Dipole Dice Enabled by Anisotropic ChiralityDirectional radiation and scattering play an essential role in light manipulation for various applications in integrated nanophotonics, antenna and metasurface designs, quantum optics, etc. The most…Yuqiong Cheng, Kayode Adedotun Oyesina, Bo Xue et al.·Jul 17, 2022SaveLearn
Whip dynamics in a freely falling chainIn this work, we examine the whip dynamics in a freely falling chain. We consider an inextensible chain with free ends in the presence of gravity hanging from a fixed pulley. If the configuration is…Tianyi Guo, Xiaoyu Zheng, Peter Palffy-Muhoray·Jul 17, 2022SaveLearn
Kirchhoff's Current Law with Displacement CurrentKirchhoff's Current Law is an essential tool in the design of circuits that operate very quickly, faster than nanoseconds. But Kirchhoff's current is often identified as the flow of…Robert Eisenberg, Xavier Oriols, David K. Ferry·Jul 17, 2022SaveLearn
A General Framework of Bound States in the Continuum in an Open Acoustic ResonatorBound states in the continuum (BICs) provide a viable way of achieving high-Q resonances in both photonics and acoustics. In this work, we proposed a general method of constructing Friedrich-Wintgen…Lujun Huang, Bin Jia, Artem S Pilipchuk et al.·Jul 14, 2022SaveLearn
Chiral Ball and Its Omnidirectional Circularly-Polarized RadiationChiral structures have reported radiation of circular polarized electromagnetic waves (CPs) in a specific direction. Here we report a class of torus knot radiators that is not only chiral but also…Wending Mai, Chunxu Mao, Galestan Mackertich-Sengerdy et al.·Jul 13, 2022SaveLearn
Diversity of ghost notes in tubas, euphoniums and saxhornsThe ghost note is a natural note which can be played exclusively on bass brass instruments with a predominantly-expanding bore profile such as tubas, euphoniums or saxhorns. It stands between the…Rémi Mattéoli, Joël Gilbert, Soizic Terrien et al.·Jul 12, 2022SaveLearn
Analysis and design of bistable and thermally reversible metamaterials inspired by shape-memory alloysIn this work, we study lattice structures that exhibit a bistable behavior, i. e., they can snap from one stable state to another, and are also completely reversible, capable of reverting back to its…Aditya Vasudevan, José A. Rodríguez-Martínez, Ignacio Romero·Jul 11, 2022SaveLearn
Exact trajectories of charged particles in the Dirac monopole fieldWe consider the motion of charged particles in the presence of a Dirac magnetic monopole. We use an extension of Noether's theorem for systems with magnetic forces and integrate explicitly the…Cesar S Lopez-Monsalvo, Alberto Rubio Ponce·Jul 9, 2022SaveLearn
An Alternative Treatment of the Foucault PendulumA treatment is given of the precession of a Foucault pendulum by means of two successive rotational transformations of coordinate system. The simplicity and accuracy of this approach is emphasized.W. Zimmermann·Jul 8, 2022SaveLearn