On purely nonlinear oscillators generalizing an isotonic potentialIn this paper we consider a nonlinear generalization of the isotonic oscillator in the same spirit as one considers the generalization of the harmonic oscillator with a truly nonlinear restoring…A. Ghose-Choudhury, Aritra Ghosh, Partha Guha et al.·Jun 25, 2019SaveLearn
Study of strongly nonlinear oscillators using the Aboodh transform and the homotopy perturbation methodA generalized equation is constructed for a class of classical oscillators with strong anharmonicity which are not exactly solvable. Aboodh transform based homotopy perturbation method (ATHPM) is…K. Manimegalai, Sagar Zephania C F, P. K. Bera et al.·Jun 25, 2019SaveLearn
Exact Solutions for Free Vibration Analysis of Thick Laminated Annular Circular Plates Using Third-Order Shear Deformation Plate TheoryIn this paper, an exact analytical solution for free vibration analysis of thick laminated annular circular plates is presented.Reza Serajian, Said Asadi·Jun 24, 2019SaveLearn
Electromagnetic Classical Field Theory in a Form Independent of Specific UnitsIn this article we have illustrated how is possible to formulate Maxwell's equations in vacuum in an independent form of the usual systems of units. Maxwell's equations, are then specialized…Francesco Ferdinando Summa·Jun 21, 2019SaveLearn
Comparative Study of Two Multiscale Thermomechanical Models of Polycrystalline Shape Memory alloys: Application to a Representative volume Element of Titanium-NiobiumThis paper presents a comparative study between two micro-macro modeling approaches to simulate stress-induced martensitic transformation in shape memory alloys (SMA). One model is a crystal…Mame Fall, Etienne Patoor, Olivier Hubert et al.·Jun 18, 2019SaveLearn
Evaluation of frictional suspension system performance in three-piece bogie by the multi-body-system approachThe nonlinear damping characteristics of friction wedges in the secondary suspension of a freight bogie are investigated considering unidirectional contact and non-smooth frictional forces. In the…Reza Serajian, Mehrnoosh Abedi, Iman Hazrati Ashtiani·Jun 17, 2019SaveLearn
Hamilton's Dynamics in Complex Phase SpaceWe present the basic formulation of Hamilton dynamics in complex phase space. We extend the Hamilton's function by including the imaginary part and find out the corresponding Hamilton's…Muhammad Adnan Shahzad·Jun 16, 2019SaveLearn
The role of the massless phantom term in the stability of a non-topological soliton solutionWe intend to introduce classically a special Lagrangian density in such a way that, firstly, it leads to a special non-topological solitary wave solution, secondly, the stability of that is…Mohammad Mohammadi·Jun 15, 2019SaveLearn
Anti-plane surface waves in media with surface structure: discrete vs. continuum modelWe present a comparison of the dispersion relations derived for anti-plane surface waves using the two distinct approaches of the surface elasticity vis-a-vis the lattice dynamics. We consider an…Victor A. Eremeyev, Basant Lal Sharma·Jun 14, 2019SaveLearn
Why pushing a bell does not produce a soundThe difference between "beating" and "pushing" results in the perception that a push just makes the object move as a whole, while a beat produces also a sound. Through a detailed…Loris Ferrari·Jun 14, 2019SaveLearn
Likely cavitation and radial motion of stochastic elastic spheres 2: Impulse drivenCavitation in solids can be caused by tensile dead-load traction or impulse traction. The two different types of boundary conditions lead to different static and dynamic solutions. In addition, if…L. Angela Mihai, Thomas E. Woolley, Alain Goriely·Jun 12, 2019SaveLearn
Likely cavitation and radial motion of stochastic elastic spheresThe cavitation of solid elastic spheres is a classical problem of continuum mechanics. Here, we study this problem within the context of "stochastic elasticity" where the constitutive…L. Angela Mihai, Thomas E. Woolley, Alain Goriely·Jun 12, 2019SaveLearn
Chiral metasurface formed by 3D-printed square helices: A flexible tool to manipulate wave polarizationThe transmission of linearly and circularly polarized waves are studied both theoretically and experimentally for chiral metasurfaces formed by arrays of metallic square helices. The helical…Shengzhe Wu, Vladimir V. Yachin, Vitalii I. Shcherbinin et al.·Jun 12, 2019SaveLearn
Magnetic Tip Trap SystemWe report a detailed theoretical model of recently-demonstrated magnetic trap system based on a pair of magnetic tips. The model takes into account key parameters such as tip diameter, facet angle…Oki Gunawan, Jason Kristiano, Hendra Kwee·Jun 11, 2019SaveLearn
Two toy models for the motion of a leaky tank carI present two toy models for the motion of a tank car as fluid drains out of an off-center opening, based on replacing the fluid with particles. No knowledge beyond simple Lagrangian mechanics is…Robin Ekman·Jun 9, 2019SaveLearn
Effective Local Permittivity Model for Non-Local Wire MediaA local permittivity model is proposed to accurately characterize spatial dispersion in non-local wire-medium (WM) structures with arbitrary terminations. A closed-form expression for the local…Alexander B. Yakovlev, Mário G. Silveirinha, George W. Hanson·Jun 9, 2019SaveLearn
An Equivalent ABCD-Matrix Formalism for Non-Local Wire Media with Arbitrary TerminationsA simple analytical model based on the transmission-matrix approach is proposed for equivalent wire-medium (WM) interfaces. The obtained ABCD matrices for equivalent interfaces capture the non-local…Alexander B. Yakovlev, Mário G. Silveirinha, George W. Hanson et al.·Jun 9, 2019SaveLearn
Variational formulation for models of shear shallow water flows and ideal turbulenceThe shallow water equations without shear effects are similar to the gas dynamics equations with a polytropic equation of state. When the shear effects are taken into account, the equations contain…Sergey Gavrilyuk, Henri Gouin·Jun 7, 2019SaveLearn
Aging two-state process with Lévy walk and Brownian motionWith the rich dynamics studies of single-state processes, the two-state processes attract more and more interests of people, since they are widely observed in complex system and have effective…Xudong Wang, Yao Chen, Weihua Deng·Jun 7, 2019SaveLearn
Fractional Burgers wave equationThermodynamically consistent fractional Burgers constitutive models for viscoelastic media, divided into two classes according to model behavior in stress relaxation and creep tests near the initial…Ljubica Oparnica, Dušan Zorica, Aleksandar Okuka·Jun 5, 2019SaveLearn
Maxwell's equations are universal for locally conserved quantitiesA fundamental result of classical electromagnetism is that Maxwell's equations imply that electric charge is locally conserved. Here we show the converse: Local charge conservation implies the…Lucas Burns·Jun 4, 2019SaveLearn
Bound States in the Continuum in ElasticityDiffraction of elastic waves is considered for a system consisting of two parallel arrays of thin (subwavelength) cylinders that are arranged periodically. The embedding media supports waves with all…Omer Haq, Sergei Shabanov·Jun 1, 2019SaveLearn
Kirchhoff's Law Can Be ExactKirchhoff's current law is thought to describe the translational movement of charged particles through resistors. But Kirchhoff's law is widely used to describe movements of current through…Robert S. Eisenberg·May 30, 2019SaveLearn
Relaxed micromorphic broadband scattering for finite-size meta-structures -- a detailed developmentThe conception of new metamaterials showing unorthodox behaviors with respect to elastic wavepropagation has become possible in recent years thanks to powerful dynamical homogenization techniques.…Alexios Aivaliotis, Domenico Tallarico, Marco-Valerio D'Agostino et al.·May 29, 2019SaveLearn
Acoustic Radiation Force and Torque on Small Particles as Measures of the Canonical Momentum and Spin DensitiesWe examine acoustic radiation force and torque on a small (subwavelength) absorbing isotropic particle immersed in a monochromatic (but generally inhomogeneous) sound-wave field. We show that by…I. D. Toftul, K. Y. Bliokh, M. I. Petrov et al.·May 29, 2019SaveLearn