Volume dependence of the equation of state for rubber elasticity. Poly(dimethylsiloxane)

1968 ◽  
Vol 72 (1) ◽  
pp. 345-348 ◽  
Author(s):  
Arthur V. Tobolsky ◽  
Leslie H. Sperling
Keyword(s):  
Equation Of State ◽  
Rubber Elasticity ◽  
Volume Dependence

The theory of rubber elasticity

1976 ◽  
Vol 351 (1666) ◽  
pp. 397-406 ◽  
Keyword(s):  
Equation Of State ◽  
Statistical Mechanics ◽  
Equations Of State ◽  
Rubber Elasticity ◽  
Elastic Behaviour ◽  
Excluded Volume ◽  
Simple Pattern ◽  
Dynamical Approach ◽  
Equilibrium Approach ◽  
The Future

It is argued that since statistical mechanics has developed in two ways, the dynamical approach of Boltzmann and the equilibrium approach of Gibbs, both should be valuable in rubber elasticity. It is shown that this is indeed the case, and the generality of these approaches allows one to study the problem in greater depth than hitherto. In particular, damping terms in the elastic behaviour of rubber can be calculated, and also the effect of entanglements and excluded volume on the equation of state. It is noticeable that although the calculated equations of state are quite complex, they do not fit into a simple pattern of invariants. The future for these developments is briefly discussed.

Volume dependence of the elastic equation of state. 3. Bulk-cured poly(dimethylsiloxane)

1982 ◽  
Vol 15 (2) ◽  
pp. 531-535 ◽  
Author(s):  
R. W. Brotzman ◽  
B. E. Eichinger
Keyword(s):  
Equation Of State ◽  
Volume Dependence

A New Isothermal Equation of State for Solids

2009 ◽  
Vol 64 (1-2) ◽  
pp. 54-58
Author(s):  
Quan Liu
Keyword(s):  
Equation Of State ◽  
Critical Analysis ◽  
Short Range ◽  
Rare Gas ◽  
Volume Data ◽  
Volume Dependence ◽  
Short Range Force ◽  
Good Accordance ◽  
Isothermal Equation ◽  
Range Force

A new isothermal equation of state (EOS) for solids is derived by starting from the theory of lattice potential and using an analytical function for the volume dependence of the short-range force constant. A critical analysis of the isothermal EOSs: Murnaghan EOS, Vinet EOS, and the new EOS derived here, is presented by investigating the pressure-volume data for rare gas solids, metals and minerals. It is found that the results obtained from the new EOS are in good accordance with the corresponding values obtained from the Vinet EOS and with experimental data for all the solids up to very large compressions. On the other hand, the Murnaghan EOS is less successful at high pressure in most cases.

The Equation of State for Rubber Elasticity. The Effect of Swelling on the Front Factor

1970 ◽  
Vol 3 (5) ◽  
pp. 556-559 ◽  
Author(s):  
A. V. Tobolsky ◽  
J. C. Goebel
Keyword(s):  
Equation Of State ◽  
Rubber Elasticity

Pressure dependence of the Grüneisen parameter and melting temperature of some metals

2021 ◽  
pp. 2150255
Author(s):  
K. Sunil ◽  
D. Ashwini ◽  
Vijay S. Sharma
Keyword(s):  
Experimental Data ◽  
Molecular Dynamics ◽  
Equation Of State ◽  
Pressure Dependence ◽  
High Pressures ◽  
Grüneisen Parameter ◽  
Thermal Equation ◽  
Gruneisen Parameter ◽  
Melting Temperatures ◽  
Volume Dependence

We have used a method for determining volume dependence of the Grüneisen parameter in the Lindemann law to study the pressure dependence of melting temperatures in case of 10 metals viz. Cu, Mg, Pb, Al, In, Cd, Zn, Au, Ag and Mn. The reciprocal gamma relationship has been used to estimate the values of Grüneisen parameters at different volumes. The results for melting temperatures of metals at high pressures obtained in this study using the Lindemann law of melting are compared with the available experimental data and also with the values calculated from the instability model based on a thermal equation of state. The analytical model used in this study is much simpler than the accurate DFT calculations and molecular dynamics.

Volume dependence of the elastic equation of state. 2. Solution-cured poly(dimethylsiloxane)

1981 ◽  
Vol 14 (5) ◽  
pp. 1445-1448 ◽  
Author(s):  
R. W. Brotzman ◽  
B. E. Eichinger
Keyword(s):  
Equation Of State ◽  
Volume Dependence
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