Modeling the Evolution of a cluster of gravitating bodies taking into account their absolutely inelastic collisionsNumerical simulation of evolution of a cluster of a finite number of gravitating bodies interacting only by their intrinsic gravity has been carried out. The goal of the study was to reveal the main…Dmitry G. Kiryan, George V. Kiryan·Nov 14, 2018SaveLearn
Pendulum waves on the surface of block rock mass under dynamic impactUnder numerical investigation is propagation of surface pendulum waves in 3D block medium. The medium is modeled by 3D lattice of masses connected with elastic springs and viscous dampers. The…Nadezhda Aleksandrova·Nov 11, 2018SaveLearn
Vlasov's beams and multivector Grassmann StaticsA novel formulation of statics in terms of the exterior algebra of an affine space is shown to be the underlying mathematical structure of Vlasov's thin-walled beam theory in structural mechanics.Marcelo Epstein·Nov 10, 2018SaveLearn
Influence of soil plug on pipe ramming processDifferent modes of advance of a pipe with a soil plug under rectangular impulse are investigated numerically and analytically with regard to dry friction between the pipe and plug and between the…Nadezhda Aleksandrova·Nov 9, 2018SaveLearn
Exact and Numerically Stable Expressions for Euler-Bernoulli and Timoshenko Beam ModesIn this work we present a general procedure for deriving exact, analytical, and numerically stable expressions for the characteristic equations and the eigenmodes of the Timoshenko and the…Firas A. Khasawneh, Daniel Segalman·Nov 8, 2018SaveLearn
Locating Objects with Signal Times Amongst Shadows and Black Holes in Two-Dimensional ModelsCalling mammals, ships, and many other objects have been commonly located during the last century with two-dimensional (2D) models from measurements of signal time even when the objects are not on…John L. Spiesberger·Nov 7, 2018SaveLearn
On the Structure of Linear Dislocation Field TheoryUniqueness of solutions in the linear theory of non-singular dislocations, studied as a special case of plasticity theory, is examined. The status of the classical, singular Volterra dislocation…Amit Acharya, Robin J. Knops, Jeyabal Sivaloganathan·Nov 7, 2018SaveLearn
Slow-dissipation limit of the harmonic oscillator with general power-law dampingAn approximate solution is presented for simple harmonic motion in the presence of damping by a force which is a general power-law function of the velocity. The approximation is shown to be quite…Jarrett L. Lancaster·Nov 7, 2018SaveLearn
Coulomb's law modification driven by a logarithmic electrodynamicsWe examine physical aspects for the electric version of a recently proposed logarithmic electrodynamics, for which the electric field of a point-like charge is finite at the origin. It is shown that…Patricio Gaete, José A. Helayël-Neto, L. P. R. Ospedal·Nov 7, 2018SaveLearn
Boundary effect on acoustic cloak with unideal pentamode materialPentamode materials are elastic solids with vanishing shear modulus, and can be used cloak underwater sound with solid state and broadband merits. However, pentamode materials realized with real…Yi Chen, Xiaoning Liu, Gengkai Hu·Nov 6, 2018SaveLearn
Basic observables for the accelerated electron and its fieldWe revisit in the framework of the classical theory the problem of the accelerated motion of an electron, taking into account the effect of the radiation emission. We present results for the momentum…Mihai Dondera·Nov 6, 2018SaveLearn
Far-field radiation of electric and toroidal dipoles in loss-less non-magnetic dielectric medium with refractive index nUsing simple classical treatment it is shown that the power emitted by the electric and toroidal dipoles scales differently with the refractive index of the surrounding environment.V. Savinov·Nov 3, 2018SaveLearn
A conjecture on Kepler's third law of n-body periodic orbitsThree-body and n-body problems in celestial mechanics are age-old and challenging puzzles. In recent years, several breakthroughs are made in finding periodic orbits for three-body problem. And Bohua…Chang-Yin Zhao, Ming-Jiang Zhang·Nov 2, 2018SaveLearn
Computation of homogenized stiffnesses of thin corrugated platesThe homogenized stiffnesses of a corrugated plate are calculated by solving the periodicity cell problem of the homogenization theory by using two-steps dimension reduction procedure. The…A. A. Kolpakov, A. G. Kolpakov·Nov 1, 2018SaveLearn
General Treatment of Reflection of Spherical Electromagnetic Waves from a Spherical Surface and its Implications for the ANITA Anomalous Polarity EventsWe develop a general formalism to treat reflection of spherical electromagnetic waves from a spherical surface. Our main objective is interpretation of radio wave signals produced by cosmic ray…Paramita Dasgupta, Pankaj Jain·Nov 1, 2018SaveLearn
Ultra-thin low frequency perfect sound absorber with high ratio of active areaA concept of ultra-thin low frequency perfect sound absorber is proposed and demonstrated experimentally. To minimize non-linear effects, an high ratio of active area to total area is used to avoid…Yves Aurégan·Nov 1, 2018SaveLearn
Fast analysis of spherical metasurfaces using vector wave function expansionModeling of spherical metasurfaces using Generalized Sheet Transition Conditions (GSTCs) and Vector Wave Function (VWF) expansion is presented. The fields internal and external to the metasurface is…Srikumar Sandeep, Shao Ying Huang·Nov 1, 2018SaveLearn
Relativistic spring-mass systemThe harmonic oscillator plays a central role in physics describing the dynamics of a wide range of systems close to stable equilibrium points. The nonrelativistic one-dimensional spring-mass system…Rodrigo Andrade e Silva, Andre G. S. Landulfo, George E. A. Matsas et al.·Oct 31, 2018SaveLearn
Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 DimensionsIn this paper we present a new extended complex nonlinear Klein-Gordon Lagrangian density, which bears a single non-topological soliton solution with a specific rest frequency ωs in 1+1…Mohammad Mohammadi·Oct 30, 2018SaveLearn
A New Perspective on Newton's Law of Cooling in Frame of Newly Defined Fractional Conformable DerivativeIn this paper, Newton's law of cooling is considered from a different perspective with newly defined fractional conformable. Obtained results are compared with experimental results and found…Erdal Bas, Ramazan Ozarslan, Ahu Ercan·Oct 30, 2018SaveLearn
Low-and high-frequency Stoneley waves, reflection and transmission at a Cauchy/relaxed micromorphic interfaceIn this paper we study the reflective properties of a 2D interface separating a homogeneous solid from a band-gap metamaterial by modeling it as an interface between a classical Cauchy continuum and…Alexios Aivaliotis, Ali Daouadji, Gabriele Barbagallo et al.·Oct 30, 2018SaveLearn
Likely chirality of stochastic anisotropic hyperelastic tubesWhen an elastic tube reinforced with helical fibres is inflated, its ends rotate. In large deformations, the amount and chirality of rotation is highly non-trivial, as it depends on the choice of…L. Angela Mihai, Thomas E. Woolley, Alain Goriely·Oct 29, 2018SaveLearn
On the status of plane and solid angles in the International System of Units (SI)The article analyzes the arguments that became the basis for declaring in 1995, at the 20th General Conference on Weights and Measures that the plane and solid angles are dimensionless derived…M. I. Kalinin·Oct 29, 2018SaveLearn
Non-Topological Solitons in 3+1 DimensionsThe paper, classically, presents a special stable non-topological solitary wave packet solution in 3+1 dimensions for an extended complex non-linear Klein-Gordon (CNKG) field system. The rest…M. Mohammadi, A. R. Olamaei·Oct 26, 2018SaveLearn
Multiple Waves Propagate in Random Particulate MaterialsFor over 70 years it has been assumed that scalar wave propagation in (ensemble-averaged) random particulate materials can be characterised by a single effective wavenumber. Here, however, we show…Artur Lewis Gower, William J. Parnell, Ian David Abrahams·Oct 25, 2018SaveLearn