On Compression of Rubber Elastic Sphere Over a Large Range of Displacements—Part 2: Comparison of Theory and Experiment

1991 ◽  
Vol 113 (3) ◽  
pp. 292-295 ◽  
Author(s):  
Y. Tatara ◽  
S. Shima ◽  
J. C. Lucero
Keyword(s):  
Experimental Data ◽  
Personal Computer ◽  
Contact Surface ◽  
Large Deformations ◽  
Large Range ◽  
Elastic Sphere ◽  
Lateral Expansion ◽  
Simple Compression ◽  
Theory And Experiment ◽  
Soft Rubber

This paper presents experimental results of simple compression of a soft rubber sphere in a very large range of forces attaining at 5000 N, presenting calculational results by a set of five equations presented in Part 1. The calculational values of approach, the radius of contact surface, and lateral expansion agree well with the experimental data in the large range of deformations. It is thus verified experimentally that the set of the equations (12), (13), (31), (40), and (43) in Part 1 is approximately valid in large deformations for rubber sphere. Program using a personal computer in calculating five quantities from the five nonlinear equations associated with the five quantities is noted.

On Compression of Rubber Elastic Sphere Over a Large Range of Displacements—Part 1: Theoretical Study

1991 ◽  
Vol 113 (3) ◽  
pp. 285-291 ◽  
Author(s):  
Y. Tatara
Keyword(s):  
Contact Surface ◽  
Theoretical Study ◽  
Large Range ◽  
Young Modulus ◽  
Small Deformation ◽  
Lateral Extension ◽  
Elastic Deformations ◽  
Elastic Bodies ◽  
Simple Compression ◽  
Applied Forces

This paper presents one general theory of large elastic deformations of a rubber sphere in simple compression, as the removal of restrictions of the constant Young modulus and small deformation in the prevailing Hertzian theory in contact of elastic bodies. It derives a set of five equations associated with approach, radii of contact surface without and with lateral extension of free surface, the lateral extensive displacement on the contact surface and the position of the contact surface in a very large range of applied forces, on the basis of the Hertz theory (half-space elastic body model) with an extensive term, in consideration of the rubber-elastic nonlinear elasticity, the lateral extension and the symmetry of the deformed shape of the rubber sphere. In Part 2 it is shown that results calculated by the set of the equations fit experimental data for a rubber sphere.

Simultaneous heat and mass transfer during evaporation from a film of liquid into the turbulent gas

1982 ◽  
Vol 47 (3) ◽  
pp. 766-775 ◽  
Author(s):  
Václav Kolář ◽  
Jan Červenka
Keyword(s):  
Experimental Data ◽  
Mass Transfer ◽  
Liquid Film ◽  
Heat And Mass Transfer ◽  
Driving Forces ◽  
Proper Definition ◽  
Definition Of ◽  
Simultaneous Heat ◽  
Theory And Experiment

The paper presents results obtained by processing a series of published experimental data on heat and mass transfer during evaporation of pure liquids from the free board of a liquid film into the turbulent gas phone. The data has been processed on the basis of the earlier theory of mechanism of heat and mass transfer. In spite of the fact that this process exhibits a strong Stefan's flow, the results indicate that with a proper definition of the driving forces the agreement between theory and experiment is very good.

scholarly journals Low-Energy Optical Conductivity of TaP: Comparison of Theory and Experiment

Crystals ◽  
2021 ◽  
Vol 11 (5) ◽  
pp. 567
Author(s):  
Alexander Yaresko ◽  
Artem V. Pronin
Keyword(s):  
Experimental Data ◽  
Optical Conductivity ◽  
Low Energy ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Natural Explanation ◽  
Weyl Semimetal ◽  
Unintentional Doping ◽  
Mott Formula ◽  
Theory And Experiment

The ab-plane optical conductivity of the Weyl semimetal TaP is calculated from the band structure and compared to the experimental data. The overall agreement between theory and experiment is found to be best when the Fermi level is slightly (20 to 60 meV) shifted upwards in the calculations. This confirms a small unintentional doping of TaP, reported earlier, and allows a natural explanation of the strong low-energy (50 meV) peak seen in the experimental ab-plane optical conductivity: this peak originates from transitions between the almost parallel non-degenerate electronic bands split by spin-orbit coupling. The temperature evolution of the peak can be reasonably well reproduce by calculations using an analog of the Mott formula.

Stress Optical Behavior of Rubber Networks at Large Deformations

1966 ◽  
Vol 39 (5) ◽  
pp. 1436-1450
Author(s):  
K. J. Smith ◽  
D. Puett
Keyword(s):  
Experimental Data ◽  
Mechanical Properties ◽  
Statistical Theory ◽  
Natural Rubber ◽  
Large Deformations ◽  
Strong Support ◽  
Theoretical Development ◽  
Statistical Parameters ◽  
Strain Behavior ◽  
Optical Behavior

Abstract The birefringence of natural rubber networks at large deformations has been investigated experimentally and compared with the simultaneously determined stress—strain behavior. Our data is analyzed using a statistical theory of flexibly jointed chains, derived herein, which is believed to be more significant for the particular range of deformation used than the theories of Treloar and of Kuhn and Grün. In addition, the experimental data of Saunders is commented on in light of our theoretical development. We find that for network extensions exceeding those of the Gaussian region there is little correlation between the observed and theoretical behavior of the stress and birefringence (based upon the theory of flexibly jointed chains) and this lack of agreement is attributed to the fact that the statistical parameters needed for the description of the optical chain properties differ in magnitude from those required for the mechanical properties. Furthermore, by considering the points of incipient crystallization the strain behavior of the stress-optical coefficient is highly indicative of nonGaussian behavior rather than crystallization, and therefore yields strong support for the position that nonGaussian behavior does exist in rubber networks.

ON AN ORIENTATION TRANSITION IN NEMATIC LIQUID CRYSTALS INDUCED BY THE THICKNESS OF THE SAMPLE

1993 ◽  
Vol 07 (18) ◽  
pp. 1215-1222
Author(s):  
A. L. ALEXE-IONESCU
Keyword(s):  
Experimental Data ◽  
Phase Transitions ◽  
Liquid Crystal ◽  
Nematic Liquid Crystal ◽  
Tilt Angle ◽  
Critical Thickness ◽  
Large Range ◽  
Square Root ◽  
Chiral Molecules ◽  
Homeotropic Orientation

An orientation transition observed in nematic liquid crystal samples, induced by the thickness, is interpreted in a new way. By supposing that the nematic liquid crystal contains chiral impurities, it is shown that the homeotropic orientation is stable only for thicknesses smaller than a critical one, and is dependent on the concentration of the chiral molecules. At the critical thickness, the transition from the homeotropic orientation to the distorted one is characterized by a tilt angle proportional to the square root of the actual thickness minus the critical one. This trend is typical of second order phase transitions. The agreement between the theory and the experimental data is fairly good over a large range of thickness of the sample.

scholarly journals Development of Educational Platform for Experiments of Electric Machines

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Yuan-Chieh Chin
Keyword(s):  
Experimental Data ◽  
Data Acquisition ◽  
Real Time ◽  
Undergraduate Students ◽  
Personal Computer ◽  
Electric Machines ◽  
Interface Card ◽  
Online Comments ◽  
Acquisition Device ◽  
Data Acquisition Device

An educational platform to improve the test and the evaluation of the experimental data in electric machine laboratory is developed. The system is complement to the course taught of electric machines to undergraduate students. The proposed system can automatically acquire the experimental data from data acquisition device on the personal computer and transfer the data through interface card to the host server. The host sever performs the essential calculations of the obtained parameters. After the students enter their computational value through system interface, the host server could record, compare, estimate, and chart the result in real time. The system not only improves the efficiency of the experimental data evaluation but also provides the online comments including experimental purposes, principles, necessary instrument equipment, special notes, operation procedures, and results recording.

The experimental research results of the influence of the shape of the contact surface of the basement to the deformable subgrade.

2016 ◽  
Vol 4 (2) ◽  
pp. 0-0
Author(s):  
Юлия Наумкина ◽  
Ulia Naumkina ◽  
Яков Пронозин ◽  
Yakov Pronozin ◽  
Дмитрий Рачков ◽  
...  
Keyword(s):  
Experimental Data ◽  
Experimental Study ◽  
Experimental Research ◽  
Contact Surface ◽  
Soil Deformation ◽  
Lateral Compression ◽  
The Core ◽  
Modulus Of Deformation ◽  
Deformed State ◽  
Core Base

The article presents the analysis of the results of field experimental study of the effect of the contact surface forms of the foundation on the deformability of subgrade. Experimental data show peculiarities of intensely deformed state of subgrade loaded on a curved concave contact surface. Stiffening of the base in this case is due to higher modulus of deformation of soil deformation in the core base, due to the additional lateral compression of soil, relating to a form of the contact surface.

A Classification of Shallow Water Resonant Sloshing in a Rectangular Tank

2013 ◽  
Author(s):  
Benjamin Bouscasse ◽  
Andrea Colagrossi ◽  
Matteo Antuono ◽  
Claudio Lugni
Keyword(s):  
Experimental Data ◽  
Numerical Simulations ◽  
Shallow Water ◽  
Convergence Analysis ◽  
Experimental Analysis ◽  
Large Amplitude ◽  
Large Range ◽  
Water Regimes ◽  
Sph Model

A numerical and experimental analysis of sloshing phenomena (i.e. violent fluid motions inside a tank) has been conducted in shallow water regimes. A large range of experimental data from moderate to large amplitude sway motions has been considered for different filling heights. The numerical simulations, performed through a δ-SPH model, aim to cover the configurations where no experiments were available and provide an exhaustive description of the shallow-water sloshing motion. A convergence analysis for non breaking and breaking cases has also been presented.

Magnetic Properties of PrхY1-xFe3(BO3)4

2015 ◽  
Vol 233-234 ◽  
pp. 360-363
Author(s):  
A.I. Pankrats ◽  
A.A. Demidov ◽  
D.A. Velikanov ◽  
V.I. Tugarinov ◽  
V.L. Temerov
Keyword(s):  
Magnetic Field ◽  
Experimental Data ◽  
Magnetic Properties ◽  
Rare Earth ◽  
Field Model ◽  
Field Approximation ◽  
Magnetization Curves ◽  
Extensive Experimental Data ◽  
Theory And Experiment ◽  
Good Agreement

The magnetic properties of trigonal PrxY1-xFe3(BO3)4 compound have been investigated. Anomalies on the magnetization curves induced by a magnetic field are observed for each composition. The calculations were performed using a molecular-field approximation and a crystal-field model for the rare-earth subsystem. Extensive experimental data on the magnetic properties of PrxY1-xFe3(BO3)4 have been interpreted and good agreement between theory and experiment has been achieved.

Cavitation in lubrication. Part 2. Analysis of wavy interfaces

1977 ◽  
Vol 80 (4) ◽  
pp. 757-767 ◽  
Author(s):  
M. D. Savage
Keyword(s):  
Experimental Data ◽  
Small Amplitude ◽  
Reynolds Equation ◽  
Pressure Field ◽  
Harmonic Wave ◽  
Fluid Flows ◽  
Rotating Cylinder ◽  
Analytic Solutions ◽  
Fluid Interface ◽  
Theory And Experiment

The steady and unifrom flow of a viscous fluid past a unifrom cavity in a gemoetry with small, yet arbitrary, film thickness is considered. A mathematical model for describing steady perturbations to such a flow is presented in which the perturbation to the cavity-fluid interface is represented by a small amplitude harmonic wave of wavenumber n. A linearized perturbation analysis then permits the formulation of a boundary-value problem involving the homogeneous Reynolds equation, the solution to which determines both n and the perturbed pressure field.Numerical and approximate analytic solutions are determined for the cylinderplane geometry in which fluid flows between a rotating cylinder and a Perspex block. Whilst these compare well with experimental data over the whole range \[ 0.1 < \eta U/T < 3, \] closest agreement between theory and experiment is attained for small values of both ηU/T and n.

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