Laboratory exercises that illustrate quantum phenomena provide students with motivation for the study of quantum mechanics. That microscopic matter exists in quantized states can be demonstrated with modem versions of historic experiments: atomic line spectra (I), resonance potentials, and blackbody radiation. The resonance potentials of mercury were discovered by Franck and Hertz in 1914 (2). ...

Due to the nonlinearity of Hertzian contacts, the speed of sound c in granular matter is expected to increase with pressure as P(1/6). A static layer of grains under gravity is thus stratified so that the bulk waves are refracted toward the surface. The reflection at the surface being total, there is a discrete number of modes (both in the sagittal plane and transverse to it) localized close to...

Abstract Diamond burnishing is a widely used finishing machining that can have positive effect on both the roughness of cut surfaces and its stress state. This paper focused examination theoretical real machined by sliding burnishing. In determining roughness, surface structure created pre-burnishing cutting (turning) was also considered. Two different modelling methods were to obtain data: CAD...

For the wear problem of real rough surface during sliding friction, based on fractal theory and Hertz contact theory, a 3-D with random characteristics is constructed, relationship between deformation depth peak its area process derived. Furthermore, considering pit scratch phenomena surfaces in different states, time-varying calculation model worn compensation unworn are established, respectiv...

The present study proposes the further validation of a simple mathematical procedure recently proposed by authors to describe contact and wear evolution in line point contacts. assumed that maximum pressure could be determined using Hertz equations parabolic profile. half-width was obtained equilibrium equation Archard law. Several cases were selected from literature, reporting experimental dat...

Anisotropic conductive adhesives (ACAs) are promising materials used for producing ultra-thin liquid-crystal displays. Because the mechanical response of polymer particles can have a significant impact in the performance of ACAs, understanding of this apparent size effect is of fundamental importance in the electronics industry. The objective of this research is to use a coarse-grained molecula...

For a Hertz chain model, by using the methodology of dynamical systems and singular traveling wave theory developed Li Chen [9] to its system defined on two-dimensional foliations in three-dimensional space, under different parameter conditions, existence all possible bounded solutions (solitary solutions, periodic peakons, compactons) is proved. nonlinearity exponent $ k = \frac32, 2 3 as many...

The mechanical properties of microscopic particles have been a heated research object for it takes the deformation of micro-beads in the microfluidic environment into account. Sufficient knowledge on mechanical properties of micro-beads would lead to better device design and application for cell mechanics, tissue engineering, etc. The physical properties of alginate beads were examined both in ...

Abstract In this study, a modeling approach based on smooth particle hydrodynamics (SPH) was implemented to simulate the nanoscale scratching process using conical tools with different negative rake angles. The model enables study of topography groove profiles, forces, and residual plastic strain beneath groove. An elastoplastic material employed for workpiece, tool–workpiece interaction define...