How the Hahn-Banach Theorem Sheds Bright Light on Fundamental Questions in Classical ThermodynamicsThe Hahn-Banach Theorem, a cornerstone of modern functional analysis, is a natural companion of the Second Law of Thermodynamics. From a Kelvin-Planck version of the Second Law, the Hahn-Banach…Martin Feinberg, Richard B. Lavine·Jun 14, 2026SaveLearn
A pure stress formulation for modeling elastic waves using central finite differencesA pure stress-based finite difference formulation is introduced for modeling elastic wave propagation in linear elastic solids with spatial heterogeneity. The approach derives from the strong form of…Marzieh Bahreman, Ming Huang, Melody Png et al.·Jun 11, 2026SaveLearn
Formulation of stress-gradient models describing three-dimensional non-local mediumBased on one-dimensional Eringen stress-gradient non-local model, by considering non-locality vector and nabla operator instead of non-locality scalar parameter and second order derivative, eight…Slađan Jelić, Dušan Zorica·Jun 11, 2026SaveLearn
A Magnetic Torsional Pendulum for Exploring Forced Resonance, Parametric Resonance, and Parametric AmplificationWe present a magnetic torsional pendulum that provides a unified experimental platform for investigating forced resonance, parametric resonance, and degenerate parametric amplification in the…Wenqing Xie, Jiahao Wu, Yujun Shi·Jun 11, 2026SaveLearn
Polyconvexity does not imply true-stress-true-strain monotonicity in the incompressible three-dimensional caseWe study constitutive conditions of hyperelastic potentials for incompressible material behavior in three dimensions. By means of a counterexample, we show that polyconvexity does not imply…Dominik K. Klein, Maximilian P. Wollner, Patrizio Neff·Jun 10, 2026SaveLearn
The emergence of a new sound research methodology in the field of health: designo-therapy ?Design fits in different fields, and it is given a plurality of titles: thinking, social, ecological, and graphic, space, etc. This discipline crosses the fields of research and engineering, which…Luc Perera, Pierre Jouvelot·Jun 9, 2026SaveLearn
A phase-field modeling approach to sea-ice fracturingThe thin ice that covers the polar oceans is a complex geomaterial that is constantly stressed and fractured by winds and ocean currents. In the central Arctic, this forcing produces deformations in…Laetitia Drumare, Vidar Skogvoll, François Renard et al.·Jun 9, 2026SaveLearn
A novel large-strain kinematic framework for fiber-reinforced laminated composites and its application in the characterization of damageIn this paper, a novel kinematic framework for fiber-reinforced composite materials is presented. For this purpose, we use the multiple natural configurations in conjunction with the multi-continuum…Shivam, Sandipan Paul·Jun 8, 2026SaveLearn
Magnetic Field Applied to the Classical Hydrogen Atom Treated in Classical Electrodynamics with Classical Zero-Point RadiationAn external magnetic field is applied to the classical hydrogen atom treated in classical electromagnetic theory including classical electromagnetic zero-point radiation. In an earlier article, it…Timothy H. Boyer·Jun 7, 2026SaveLearn
Variational Openness: An Open Formulation of Hamilton's PrincipleSince its classical origin, Hamilton's principle has been formulated under an exact closure condition: admissible variations vanish at the boundaries of the variational domain. This condition…Francisco Monroy·Jun 7, 2026SaveLearn
An alternative approach to several important systems in classical mechanics: energy factorizationWe show how several important classical problems, with positive definite potential energy, can be solved by starting from the factorization of the total mechanical energy using complex numbers. In…Karlo Lelas, Dario Jukić·Jun 7, 2026SaveLearn
Constitutive Settings with regard to Energy- and Entropy-Balances in Non-Equilibrium Thermodynamics: the Thermodynamical VerificationConstitutive equations have to be in agreement with the energy- and entropy- balances. For achieving that, the procedure of thermodynamical verification is introduced: Because heat flux and entropy…Wolfgang Muschik·Jun 4, 2026SaveLearn
Mpemba Effect in Many-Body Systems Near EquilibriumThe Mpemba effect, in which a system initially farther from equilibrium relaxes faster than a closer one, has been observed in a wide variety of linear and nonlinear systems. Here we develop a…Philippe Ben-Abdallah·Jun 4, 2026SaveLearn
The Gains, Effective Areas and Equivalent Areas of a Multiport Antenna ArrayWe review the definitions of 22 parameters of a multiport antenna array operating in a specified direction: 4 excitation-dependent parameters for emission, 10 excitation-independent parameters for…Frédéric Broydé, Evelyne Clavelier·Jun 2, 2026SaveLearn
Relativistic deceleration vs acceleration, Unruh effect observation, and the Schott energyThis article examines finite-time relativistic deceleration and its energy balance within the Lorentz-Abraham-Dirac equation, with special attention to boundary Schott-energy terms. From experimental…Yefim S. Levin·May 29, 2026SaveLearn
A nonlinear beam model for photoresponsive thermoelastic solids driven by localised heatingAsymptotic methods are used to derive a geometrically nonlinear beam model for thermoelastic solids with a spatially localised heat source. The asymptotic reduction is based on collapsing the heated…William T. Simpkins, Matteo Taffetani, Matthew G. Hennessy·May 27, 2026SaveLearn
Invariant-based inverse engineering for balanced displacement of a cart-pole systemAdiabaticity is a key concept in physics, but its applications in mechanical and control engineering remain underexplored. Adiabatic invariants ensure robust dynamics under slow changes, but they…I. Lizuain, A. Tobalina, A. Rodriguez-Prieto·May 27, 2026SaveLearn
Simple Pendulums in Simple Harmonic motionThe motion of a simple pendulum in a uniform gravitational field can be described by the solution of a second-order differential equation, nonlinear differential equation. In practice we solve this…Adel H. Alameh·May 23, 2026SaveLearn
Universal Displacements in Linear Strain-Gradient ElasticityWe study universal displacement fields in three-dimensional linear strain-gradient elasticity within the Toupin-Mindlin first strain-gradient theory. Building on the approach of Yavari (2020), we…Dimitris Sfyris, Arash Yavari·May 23, 2026SaveLearn
High-Discretization Method of Moments for Capacitance Calculation: A Cube and a Hollow CylinderThis paper employs the method of moments (MOM) to calculate the capacitances of a cube and a hollow cylinder. For the cube, each face was divided into a maximum of 600 x 600 sub-areas. By fully…Haiyong Gu, Liyuan Huang, Peide Yang et al.·May 23, 2026SaveLearn
On radiation from hyperbolic motion, behavior of electromagnetic fields, and coordinate transformations at infinityWe show explicitly that radiation from a uniformly accelerating charge escapes outside Rindler wedge, while within Rindler wedge there is no flux through infinity, neither in the Minkowski frame nor…E. T. Akhmedov, M. N. Milovanova·May 22, 2026SaveLearn
Revisiting Koehler's experiment of measuring the ratio of the specific heats of air by self-sustained oscillationsWe revisit Koehler's experiment, a clever modification of Ruchardt's experiment designed to measure the ratio of specific heats of gas. However, the lengthy and dense analysis shared by…Yujun Shi, Xiaoting Fen·May 22, 2026SaveLearn
Tensile wrinkling and creasing of an elastic half-space under a suction loadA famous and thoroughly investigated instability set-up, susceptible to wrinkling and creasing, consists of an elastic half-space being prestressed under a dead load, applied at infinity and,…Roberta Springhetti, Davide Bigoni·May 21, 2026SaveLearn
Dielectric insulated transmission lines in receiving antenna operationThis work derives exact expressions for the voltage induced into a two conductors dielectrically isolated transmission line by a monochromatic incident plane wave from an arbitrary direction, at a…Reuven Ianconescu, Vladimir Vulfin·May 21, 2026SaveLearn
Numerical generation of random fiber bundles and the influence of microstructural properties on mechanical behaviorUnderstanding the mechanical behavior of quasi-parallel fiber networks is essential for improving the manufacturing processes of fiber-reinforced composites. Mesoscale models of dry yarns and…Xinling Song, Gilles Hivet, Audrey Hivet et al.·May 19, 2026SaveLearn