Rubber Elasticity in the Range of Small Uniaxial Tensions and Compressions. Results for Poly(Dimethylsiloxane)

1979 ◽  
Vol 52 (1) ◽  
pp. 127-133 ◽  
Author(s):  
B. Erman ◽  
P. J. Flory
Keyword(s):  
Free Energy ◽  
Uniaxial Tension ◽  
Rubber Elasticity ◽  
Extension Ratio ◽  
Tension And Compression ◽  
Straight Lines ◽  
Chain Entanglements ◽  
Mooney Equation

Abstract Results of uniaxial tension and compression experiments are reported on crosslinked poly(dimethylsiloxane) networks in the unswollen state over the range 0.5<α−1<1.2 , where α is the extension ratio. Curves representing the reduced force [ƒ]=ƒ(V0/V)1/3(α−α−2)−1 plotted against α−1 can be approximated by straight lines for 0.5<α−1<0.9, in agreement with the phenomenological Mooney equation. As α−1 approaches 1, however, they tend to level off and continue into the α−1>1 region with decreasing slope. These results are in agreement with the predictions of recent elasticity theories that incorporate the effect of junction-chain entanglements in the elastic free energy.

On the Mechanical Behavior of the Orthotropic Cord-Rubber Composite

1976 ◽  
Vol 4 (4) ◽  
pp. 219-232 ◽  
Author(s):  
Ö. Pósfalvi
Keyword(s):  
Mechanical Behavior ◽  
Uniaxial Tension ◽  
Elastic Properties ◽  
Large Deformations ◽  
Virtual Work ◽  
Poisson's Ratio ◽  
Principle Of Virtual Work ◽  
Effective Elastic Properties ◽  
Rubber Composite ◽  
Mooney Equation

Abstract The effective elastic properties of the cord-rubber composite are deduced from the principle of virtual work. Such a composite must be compliant in the noncord directions and therefore undergo large deformations. The Rivlin-Mooney equation is used to derive the effective Poisson's ratio and Young's modulus of the composite and as a basis for their measurement in uniaxial tension.

A model describing the variation in free energy in compound and single phase regions in binary systems containing miscibility gaps

1965 ◽  
Vol 18 (12) ◽  
pp. 1897
Author(s):  
JD Esdaile
Keyword(s):  
Experimental Data ◽  
Free Energy ◽  
Binary Systems ◽  
Atomic Fraction ◽  
Two Phase ◽  
Phase Fields ◽  
Isothermal Diagram ◽  
Integral Free Energy ◽  
Miscibility Gaps ◽  
Straight Lines

A model is derived to represent the variation of free energy of combination of one gram-atom of two components, represented by A and B, in intermediate single, or compound, phases in a binary system as a function of composition at constant temperature, and with a minimum of experimental data. The derivation of the model involves the, assumption that the straight lines representing the free energy of the two phase fields adjacent to a compound phase, on an isothermal integral free energy against atomic fraction diagram, intersect at the mid-point of the compound phase. A relation between logaA, logaB, and the atomic fraction NB is developed so as to conform with the preceding requirement and yield an almost horizontal tangent to the curve representing the compound phase at NB = � for a hypothetical symmetrical isothermal diagram. The equations developed on these bases are extended to non-symmetrical systems. These are shown to be successful in predicting the variation in free energy of compound phases, as a function of composition, in binary systems for which experimental data are available.

scholarly journals A Lever-Type Method of Strain Exposure for Disk F-Shaped Torque Sensor Design

Sensors ◽  
2020 ◽  
Vol 20 (2) ◽  
pp. 541
Author(s):  
Ran Shu ◽  
Zhigang Chu ◽  
Hongyu Shu
Keyword(s):  
Uniaxial Tension ◽  
Deformation Mode ◽  
Strain Gauges ◽  
Basic Design ◽  
Torque Sensor ◽  
Type Method ◽  
Trade Off ◽  
Tension And Compression ◽  
Design Idea ◽  
Robotic Joints

Disk-shaped torque sensors are widely used in robotic joints and wheel driving. However, in terms of conventional spoke-type geometries, there is always a trade-off between sensitivity and stiffness, because their strain exposure depends upon a bending deformation mode which causes strain nonuniformity. This paper presents a lever-type method of strain exposure that performs a uniaxial tension and compression deformation mode to optimize the strain uniformity and improve the trade-off. Moreover, on the basis of this approach, the proposed disk F-shaped torque sensor enjoys has axial thinness, easy installation of strain gauges and flexible customization. The simulation and experimental results have validated the basic design idea.

Possibilities for calculating the stress state of rocks during their uniaxial tension and compression

2020 ◽  
Author(s):  
Valerii Seredin ◽  
Aleksey Khrulev ◽  
Sergey Andreiko ◽  
Sergey Galkin
Keyword(s):  
Stress State ◽  
Uniaxial Tension ◽  
Tension And Compression

Dynamic uniaxial tension and compression curves of copper and alloy AMg6

1979 ◽  
Vol 11 (10) ◽  
pp. 1159-1161 ◽  
Author(s):  
A. P. Bol'shakov ◽  
S. A. Novikov ◽  
V. A. Sinitsyn
Keyword(s):  
Uniaxial Tension ◽  
Alloy Amg6 ◽  
Tension And Compression

YIELD STRESS BASED ON NATURAL STRAIN THEORY UNDER CYCLIC TENSION-COMPRESSION LOAD AFTER LARGE SIMPLE SHEAR

2018 ◽  
Vol 5 (2) ◽  
Author(s):  
Yasuyuki Kato ◽  
Hiroki Uchida
Keyword(s):  
Yield Stress ◽  
Uniaxial Tension ◽  
Simple Shear ◽  
Strain Theory ◽  
Experimental Result ◽  
Cyclic Loads ◽  
Yield Behavior ◽  
Compression Load ◽  
Natural Strain ◽  
Tension And Compression

Many researches on the yield behavior under cyclic loads have been conducted for many years. However, almost these studies have been done within the range of relatively small size deformation. Hence, the detailed studies for yield phenomenon under cyclic loads after applying a large pre-deformation have not been sufficiently elucidated. Therefore, in the series of our studies, using test pieces of high purity tough pitch copper, the yield behavior generated under cyclic loads after applying the predeformation of large uniaxial tension or large simple shear have been investigated. However, as for the case that the type of pre-deformation differs from the type of deformation in the cyclic load, detailed studies have not been conducted yet. Hence, in the present study, the yield behavior generated under cyclic loads for tension and compression after applying a large pre-deformation of simple shear is examined based on Natural Strain theory. Furthermore, experimental results in the present study are compared with results of previous studies concerning cyclic loads for tension and compression after applying the large uniaxial tension. Consequently, it is revealed that the decreasing tendency of yield stress at the compression side appears more strongly as compared with the experimental result by previous study that the pre-deformity is a uniaxial tension.

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