On the existence of regular tetrahedral non-homothetic homographic solutionIt is well known that the three-body problem has few analytical solutions in certain symmetrical constraints; the Lagrangian triangular solution is one of them. This triangular solution has been…Jaewoo Kim·Aug 24, 2019SaveLearn
Holographic metasurfaces simulations applied to realization of non-diffracting waves in the microwave regimeIn this work, we present the computational realization of holographic metasurfaces to generation of the non-diffracting waves. These holographic metasurfaces (HMS) are simulated by modeling a…Santiago R. C. Fernandez, Marcos R. R. Gesualdi·Aug 22, 2019SaveLearn
Acoustic vortex beams in synthetic magnetic fieldsWe analyze propagation of acoustic vortex beams in longitudinal synthetic magnetic fields. We show how to generate two field configurations using a fluid contained in circulating cylinders: a uniform…Irving Rondon, Daniel Leykam·Aug 22, 2019SaveLearn
Thermodynamical extension of a symplectic numerical scheme with half space and time shift demonstrated on rheological waves in solidsOn the example of the Poynting-Thomson-Zener rheological model for solids, which exhibits both dissipation and wave propagation - with nonlinear dispersion relation -, we introduce and investigate a…Tamás Fülöp, Róbert Kovács, Mátyás Szücs et al.·Aug 21, 2019SaveLearn
Time Scale for Velocity to Track a ForceIn this paper we derive and discuss the time it takes for a force to turn a velocity. More precisely, we derive the formula for the time τ it takes a constant force that makes an angle α with the…Chris L. Lin·Aug 21, 2019SaveLearn
Modelling the flexoelectric effect in solids: a micromorphic approachFlexoelectricity is characterised by the coupling of the gradient of the deformation and the electrical polarization in a dielectric material. A novel micromorphic approach is presented to…Andrew McBride, Denis Davydov, Paul Steinmann·Aug 20, 2019SaveLearn
Conjugated equilibrium solutions for the 2--body problem in the two dimensional sphere M2R for equal massesWe study here the behaviour of solutions for conjugated (antipodal) points in the 2-body problem on the two-dimensional sphere M2R. We use a slight modification of the classical…Pedro P. Ortega Palencia, Guadalupe Reyes Victoria·Aug 14, 2019SaveLearn
An Analytical Approach to Eddy Current in Electromagnetic DampingAn analytical method of calculating eddy current in a metallic spinning gyroscope in external magnetic field is presented. With reasonable assumptions, the problem is simplified from the…Hao Chen, Yawen Xiao, Jinze Shi et al.·Aug 13, 2019SaveLearn
Sound waves move matterA recent Letter has reported that sound waves can carry gravitational mass. I analyze this effect in a Hooke's law solid, considering a wave packet moving in the z direction with an amplitude…Davison E. Soper·Aug 12, 2019SaveLearn
Scattering from a non-linear structured interfaceWe review the scattering from non-linear interfaces containing buckling elastic beams. An illustrative example is discussed here of scattering of linear elastic pressure waves from a two-mass system…Domenico Tallarico, Natalia V. Movchan, Alexander B. Movchan·Aug 12, 2019SaveLearn
A Knotted Meta-molecule with 2-D Isotropic Optical Activity Rotating the Incident Polarization by 90°Optical activity is the ability of chiral materials to rotate linearly-polarized (LP) electromagnetic waves. Because of their intrinsic asymmetry, traditional chiral molecules usually lack isotropic…Wending Mai, Lei Kang, Chunxu Mao et al.·Aug 8, 2019SaveLearn
An Analytical Mechanics Approach to the First Law of Thermodynamics and Construction of a Variational HierarchyA simple procedure is presented to study the conservation of energy equation with dissipation in continuum mechanics in 1D. This procedure is used to transform this nonlinear evolution-diffusion…Hamid A Said·Aug 6, 2019SaveLearn
Comments on "Scattering Cancellation-Based Cloaking for the Maxwell--Cattaneo Heat Waves"A number of errors, both mathematical and conceptual, are identified, in a recent article by Farhat et al.\ [Phys.\ Rev.\ Appl.\ 11, 044089 (2019)] on cloaking of thermal waves in…Ivan C. Christov·Aug 6, 2019SaveLearn
Nested Bloch waves in elastic structures with configurational forcesSmall axial and flexural oscillations are analyzed for a periodic and infinite structure, constrained by sliding sleeves and composed of elastic beams. A nested Bloch-Floquet technique is introduced…Francesco Dal Corso, Domenico Tallarico, Natalia V. Movchan et al.·Aug 5, 2019SaveLearn
Identification of second-gradient elastic materials from planar hexagonal lattices. Part II: Mechanical characteristics and model validationPositive definiteness and symmetry of the constitutive tensors describing a second-gradient elastic (SGE) material, which is energetically equivalent to a hexagonal planar lattice made up of axially…G. Rizzi, F. Dal Corso, D. Veber et al.·Aug 5, 2019SaveLearn
Identification of second-gradient elastic materials from planar hexagonal lattices. Part I: Analytical derivation of equivalent constitutive tensorsA second-gradient elastic (SGE) material is identified as the homogeneous solid equivalent to a periodic planar lattice characterized by a hexagonal unit cell, which is made up of three different…G. Rizzi, F. Dal Corso, D. Veber et al.·Aug 5, 2019SaveLearn
Radial waves in fiber-reinforced axially symmetric hyperelastic mediaComplex elastic media such as biological membranes, in particular, blood vessels, may be described as fiber-reinforced solids in the framework of nonlinear hyperelasticity. Finite axially symmetric…Alexei Cheviakov, Caylin Lee, Rehana Naz·Aug 2, 2019SaveLearn
Classical Planck Spectrum for Relative Thermal Radiation, Classical Zero-Point Radiation, and Scale ParameterIn this work we obtain Planck's blackbody spectrum from the thermal scalar radiation contained in a resonant cavity of volume V in the context of classical mechanics, which provides the classical…J. Tapia, H. González, R. Rubiano·Jul 27, 2019SaveLearn
The force on a point charge source of the classical electromagnetic fieldIt is shown that a well-defined expression for the total electromagnetic force fem on a point charge source of the classical electromagnetic field can be extracted from the postulate of total…Michael K. -H. Kiessling·Jul 25, 2019SaveLearn
Speed of transverse waves in a string revisitedIn many introductory-level physics textbooks, the derivation of the formula for the speed of transverse waves in a string is either omitted altogether or presented under physically overly idealized…Joseph Rizcallah·Jul 24, 2019SaveLearn
Structural models based on 3D constitutive laws: variational structure and numerical solutionIn all structural models, the section or fiber response is a relation between the strain measures and the stress resultants. This relation can only be expressed in a simple analytical form when the…David Portillo, Bastian Oesterle, Rebecca Thierer et al.·Jul 24, 2019SaveLearn
In-plane backward and Zero-Group-Velocity guided modes in rigid and soft stripsElastic waves guided along bars of rectangular cross section exhibit complex dispersion. This paper studies in-plane modes propagating at low frequencies in thin isotropic rectangular waveguides…Jérôme Laurent, Daniel Royer, Claire Prada·Jul 23, 2019SaveLearn
Research on the Work-Energy Principle Based Characteristic Mode Theory for Scattering SystemsElectromagnetic (EM) scattering systems widely exist in EM engineering domain. For a certain objective scattering system, all of its working modes constitute a linear space, i.e. modal space.…Renzun Lian·Jul 22, 2019SaveLearn
Developing a time-domain method for simulating statistical behaviour of many-emitter systems in the presence of electromagnetic fieldIn this paper, one of the major shortcomings of the conventional numerical approaches is alleviated by introducing the probabilistic nature of molecular transitions into the framework of classical…Ali Reza Hashemi, Mahmood Hosseini-Farzad·Jul 22, 2019SaveLearn
The number of independent invariants for m unit vectors and n symmetric second order tensors is 2m+ 6n-3Anisotropic invariants play an important role in continuum mechanics. Knowing the number of independent invariants is crucial in modelling and in a rigorous construction of a constitutive equation…M. H. B. M. Shariff·Jul 20, 2019SaveLearn