scholarly journals Relaxation Constant in the Folding of Thin Viscoelastic Sheets

2020 ◽  
Vol 13 (1) ◽  
Author(s):  
Kasra Farain
Keyword(s):  
Relaxation Constant

Stress-Strain Properties of Natural Rubber under Biaxial Strain

1951 ◽  
Vol 24 (1) ◽  
pp. 70-82 ◽  
Author(s):  
B. B. S. T. Boonstra
Keyword(s):  
Natural Rubber ◽  
Biaxial Strain ◽  
Stress Strain ◽  
Relaxation Constant ◽  
Vulcanized Rubber ◽  
Stress Curve

Abstract (1) The stress-strain curves of vulcanized rubber held at definite tangential elongations during stretching differ more from the simple unidirectional-extension-stress curve than the theory predicts. The differences are larger at higher tangential elongations. (2) The relaxation constant determined at 600 per cent elongation is practically unaffected by tangential elongations up to 300 per cent.

Analytical Approximations to Type III Separation Thresholds in Poincaré Halfmaps

1988 ◽  
Vol 43 (2) ◽  
pp. 115-122 ◽  
Author(s):  
Claus Kahlert
Keyword(s):  
Parameter Space ◽  
Perturbation Expansion ◽  
Type Iii ◽  
Relaxation Constant ◽  
Analytical Approximations ◽  
Frequency Functions

The curves The curves Ωk, marking the frequency thresholds for type III separation in the parameter space of Poincaré halfmaps, are investigated further analytically. In the limit of great values of their argument, the relaxation constant ϱ, all frequency functions Ωk are shown to grow algebraically -each with the same exponent being ⅔. Furthermore, a perturbation expansion is presented that yields good results already at a level of approximation where the calculations can be performed analytically.

scholarly journals Explicit solutions for partial differential equations of Lord-Shulman thermoelasticity

2009 ◽  
Vol 36 (2) ◽  
pp. 137-156
Author(s):  
A. Rodionov
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Explicit Solutions ◽  
Partial Differential ◽  
Relaxation Constant ◽  
Linear Partial Differential Equations ◽  
Finite Sums

We consider the Lord-Shulman model of thermoelasticity with one relaxation constant. The corresponding system of four linear partial differential equations is solved by means of holomorphic expansions. We prove the convergence of expansions and study the possibility to convert them in finite sums.

scholarly journals Perturbed Angular Correlation Study of the Static and Dynamic Aspects of Cadmium and Mercury Atoms Inside and Attached to a C60 Fullerene Cage

2014 ◽  
Vol 69 (10-11) ◽  
pp. 611-618 ◽  
Author(s):  
Satyendra K. Das ◽  
Rashmohan Guin ◽  
Debasish Banerjee ◽  
Karl Johnston ◽  
Parnika Das ◽  
...  
Keyword(s):  
Angular Correlation ◽  
Perturbed Angular Correlation ◽  
Correlation Study ◽  
C60 Fullerene ◽  
Fullerene Cage ◽  
Cadmium Atom ◽  
Quadrupole Frequency ◽  
Relaxation Constant ◽  
Fast Relaxation ◽  
Micropore Filter

Abstract30 keV 111mCd and 50 keV 199mHg beams from ISOLDE were used to implant on preformed targets of C60 with a thickness of 1 mg cm-2. Endofullerene compounds, viz. 111mCd@C60 and 199mHg@C60 formed during implantation were separated by filtration through micropore filter paper followed by solvent extraction. Dried samples of the endofullerene compounds were counted for the time differential perturbed angular correlation (TDPAC) measurement using the coincidence of the 151 - 245 keV cascade of 111mCd and the 374 - 158 keV cascade of 199mHg on a six LaBr3(Ce) detector system coupled with digital electronics. The results for 111mCd@C60 indicate a single static component (27%) and a fast relaxing component (73%), the latter implying that the cadmium atom moves rapidly inside the cage at room temperature. The quadrupole interaction frequency and asymmetry parameter of the cadmium atom occupying the static site in C60 are wQ=8.21(36) Mrad s-1 and η = 0.41(9), respectively. The fast relaxation constant is 0.0031(4) ns-1. Similarly, mercury atoms also exhibit a single static and a fast component. The static site has a quadrupole frequency wQ=283.0(12.4) Mrad s-1 and η =0 with a fraction of 30%. The fast relaxation constant is 0.045(8) ns-1 with a fraction of 70%, very similar to that of cadmium.

Sign in / Sign up

Export Citation Format

Share Document