BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energyWe propose two models of the Boltzmann equation (BGK and Fokker-Planck models) for rarefied flows of diatomic gases in vibrational non-equilibrium. These models take into account the discrete…J. Mathiaud, Luc Mieussens·Apr 4, 2019SaveLearn
Effect of Thomas Rotation on the Lorentz Transformation of Electromagnetic fieldsA relativistic particle undergoing successive boosts which are non collinear will experience a rotation of its coordinate axes with respect to the boosted frame. This rotation of coordinate axes is…Lakshya Malhotra, Robert Golub, Eva Kraegeloh et al.·Apr 3, 2019SaveLearn
Indentation, elasticity and surface tensionThe classical models of Hertz, Sneddon and Boussinesq provide solutions for problems of indentation of a semi-infinite elastic massif by a sphere, a sphere or a cone and a flat punch. Although these…Christophe Fond·Apr 3, 2019SaveLearn
Dynamical analysis of mass-spring models using Lie algebraic methodsThe dynamical analysis of vibrational systems of masses interconnected by restitution elements each with a single degree of freedom, and different configurations between masses and spring constants,…Alejandro R. Urzúa, Irán Ramos-Prieto, Francisco Soto-Eguibar et al.·Apr 1, 2019SaveLearn
The effect of colored noise on heteroclinic orbitsThe dynamics of a weakly dissipative Hamiltonian system submitted to stochastic perturbations has been investigated by means of asymptotic methods. The probability of noise-induced separatrix…Jean-Régis Angilella·Mar 27, 2019SaveLearn
Observation of edge waves in a two-dimensional Su-Schrieffer-Heeger acoustic networkIn this work, we experimentally report the acoustic realization the two-dimensional (2D) Su-Schrieffer-Heeger (SSH) model in a simple network of air channels. We analytically study the steady state…Li-Yang Zheng, Vassos Achilleos, Olivier Richoux et al.·Mar 26, 2019SaveLearn
Nonreciprocal Phase Gradient Metasurface: Principle and Transistor ImplementationWe introduce the concept of nonreciprocal nongyrotropic phase gradient metasurfaces. Such metasurfaces are based on bianisotropic phase shifting unit cells, with the required nonreciprocal and…Guillaume Lavigne, Christophe Caloz·Mar 26, 2019SaveLearn
Angle-Independent Nongyrotropic MetasurfacesWe derive a general condition for angle-independent bianisotropic nongyrotropic metasurfaces and present two applications corresponding to particular cases: an angle-independent absorber/amplifier…Guillaume Lavigne, Christophe Caloz·Mar 26, 2019SaveLearn
Competition between delamination and fracture in multiple peeling problemsAdhesive attachment systems consisting of multiple tapes or strands are commonly found in nature, for example in spider web anchorages or in mussel byssal threads, and their structure has been found…Lucas Brely, Federico Bosia, Ali Dhinojwala et al.·Mar 25, 2019SaveLearn
Efficient calculation of the mutual inductance of arbitrarily oriented circular filaments via a generalisation of the Kalantarov-Zeitlin methodIn this article, we present a new analytical formulation for calculation of the mutual inductance between two circular filaments arbitrarily oriented with respect to each other, as an alternative to…Kirill V. Poletkin, Jan G. Korvink·Mar 25, 2019SaveLearn
Equivalence of Two Methods to Solve Static Electromagnetic PotentialsIn electromagnetic statics, the standard procedure to determine the electric scalar potential or magnetic vector potential in a bounded space is to solve Poisson's equation subject to certain…Weiwei Zhao, Hao Jin, Hao Guo·Mar 24, 2019SaveLearn
Suggestion of the DLV dimensionless number system to represent the scaled behavior of structures under impact loadsA group of dimensionless numbers, termed DLV (Density-Length-Velocity) system, is put forward to represent the scaled behavior of structures under impact loads. It is obtained by means of the…Shuai Wang, Fei Xu, Zhen Dai·Mar 21, 2019SaveLearn
Dynamics of a Relativistic Particle in Discrete MechanicsThe study of the evolution of the dynamics of a massive or massless particle shows that in special relativity theory, the energy is not conserved. From the law of evolution of the velocity over time…Jean-Paul Caltagirone·Mar 21, 2019SaveLearn
Majorana's stellar representation for the local polarization of harmonic electromagnetic and gravitational wavesThe local polarization of electromagnetic (EMW) and gravitational waves (GW) is discussed from an operational point of view, in which all the relevant mathematical framework is constructed in terms…Patrick Bruno·Mar 20, 2019SaveLearn
Investigation on the Initial System Angle of a Torsion Springs using CadHelical torsion springs with tangential legs are used for many applications: from simple everyday use systems, like clothes peg, to advanced systems, as sectional doors. Torsion springs are usually…Manuel Paredes, Congreso Ingegraf, Paredes Manuel·Mar 19, 2019SaveLearn
A nonlinear couple stress-based sandwich beam theoryA geometrically nonlinear sandwich beam model founded on the modified couple stress Timoshenko beam theory with Kármán kinematics is derived and employed in the analysis of periodic sandwich…Bruno Reinaldo Goncalves, Anssi T. Karttunen, Jani Romanoff·Mar 18, 2019SaveLearn
Motion of a finite composite cylindrical annulus comprised of nonlinear elastic solids subject to periodic shearIn this paper we study the motion of a finite composite cylindrical annulus made of generalized neo-Hookean solids that is subject to periodic shear loading on the inner boundary. Such a problem has…C. C. Benjamin, M. Myneni, A. Muliana et al.·Mar 18, 2019SaveLearn
Long wave interaction with a partially immersed body. Part I: Mathematical modelsIn the present article we consider the problem of wave interaction with a partially immersed, but floating body. We assume that the motion of the body is prescribed. The general mathematical…Gayaz Khakimzyanov, Denys Dutykh·Mar 18, 2019SaveLearn
A review of the variational methods for solving DC circuitsDirect current (DC) circuits are usually taught in upper-level physics curricula, and Kirchhoff's laws are stated and used to solve the steady-state currents. However, students are not often…Sree Harsha N R·Mar 17, 2019SaveLearn
Fundamental limits to radiative heat transfer: the limited role of nanostructuring in the near fieldIn a complementary article, we exploited algebraic properties of Maxwell's equations and fundamental principles such as electromagnetic reciprocity and passivity, to derive fundamental limits to…Prashanth S. Venkataram, Sean Molesky, Weiliang Jin et al.·Mar 16, 2019SaveLearn
Thermoelastic cloaking and the breaking of invisibilityThe invariance under co-ordinate transformations of a set of partial differential equations can lead to the possibility of invisibility cloaking, whereby an anomaly in the interior of a body is…F. Syvret, D. Al-Attar·Mar 15, 2019SaveLearn
An analog simulation experiment to study free oscillations of a damped simple pendulumThe characteristics of drive-free oscillations of a damped simple pendulum under sinusoidal potential force field differ from those of the damped harmonic oscillations. The frequency of oscillation…Ivan Skhem Sawkmie, Mangal C. Mahato·Mar 14, 2019SaveLearn
Guided waves as superposition of body wavesWe illustrate properties of guided waves in terms of a superposition of body waves. In particular, we consider the Love and SH waves. Body-wave propagation at postcritical angles--required for a…David R. Dalton, Michael A. Slawinski, Theodore Stanoev·Mar 11, 2019SaveLearn
Revisiting the Lagrange theory for isolated n-particle systems with variable masses connected by an unknown fieldWe propose a new classical approach for describing a system composed of n interacting particles with variable mass connected by a single field with no predefined form (n-VMVF systems). Instead of…Israel Arial Gonzalez Medina·Mar 10, 2019SaveLearn
Energy and Angular Momentum Dependent Potentials with Closed OrbitsThe Bertrand theorem concluded that; the Kepler potential, and the isotropic harmonic oscillator potential are the only systems under which all the orbits are closed. It was never stressed enough in…Munir Al-Hashimi·Mar 8, 2019SaveLearn