scholarly journals Some potential theoretic results on an infinite network

2019 ◽  
Author(s):  
Premalatha ◽  
A. K. Kalyani
Keyword(s):  
Infinite Network

scholarly journals Duality theorems on an infinite network*

Optimization ◽  
2000 ◽  
Vol 48 (1) ◽  
pp. 1-15
Author(s):  
W Oettli ◽  
M Yamasaki
Keyword(s):  
Duality Theorems ◽  
Infinite Network

scholarly journals Potential-theoretic study of functions on an infinite network

2008 ◽  
Vol 37 (1) ◽  
pp. 59-73 ◽  
Author(s):  
Kamaleldin ABODAYEH ◽  
Victor ANANDAM
Keyword(s):  
Infinite Network

A Simplex Method for Uncapacitated Pure-supply Infinite Network Flow Problems

2018 ◽  
Vol 28 (3) ◽  
pp. 2022-2048 ◽  
Author(s):  
Christopher Thomas Ryan ◽  
Robert L. Smith ◽  
Marina A. Epelman
Keyword(s):  
Simplex Method ◽  
Network Flow ◽  
Network Flow Problems ◽  
Flow Problems ◽  
Infinite Network

scholarly journals Synthesis, structure, and mechanical properties of silica nanocomposite polyrotaxane gels

2015 ◽  
Vol 11 ◽  
pp. 2194-2201 ◽  
Author(s):  
Kazuaki Kato ◽  
Daisuke Matsui ◽  
Koichi Mayumi ◽  
Kohzo Ito
Keyword(s):  
Silica Nanoparticles ◽  
Young’S Modulus ◽  
Network Structure ◽  
Young's Modulus ◽  
Silica Content ◽  
Homogeneous Distribution ◽  
Chain Polymer ◽  
Nanocomposite Gels ◽  
Compression Strain ◽  
Infinite Network

A significantly soft and tough nanocomposite gel was realized by a novel network formed using cyclodextrin-based polyrotaxanes. Covalent bond formation between the cyclic components of polyrotaxanes and the surface of silica nanoparticles (15 nm diameter) resulted in an infinite network structure without direct bonds between the main chain polymer and the silica. Small-angle X-ray scattering revealed that the homogeneous distribution of silica nanoparticles in solution was maintained in the gel state. Such homogeneous nanocomposite gels were obtained with at least 30 wt % silica content, and the Young’s modulus increased with silica content. Gelation did not occur without silica. This suggests that the silica nanoparticles behave as cross-linkers. Viscoelastic measurements of the nanocomposite gels showed no stress relaxation regardless of the silica content for <20% compression strain, indicating an infinite stable network without physical cross-links that have finite lifetime. On the other hand, the infinite network exhibited an abnormally low Young’s modulus, ~1 kPa, which is not explainable by traditional rubber theory. In addition, the composite gels were tough enough to completely maintain the network structure under 80% compression strain. These toughness and softness properties are attributable to both the characteristic sliding of polymer chains through the immobilized cyclodextrins on the silica nanoparticle and the entropic contribution of the cyclic components to the elasticity of the gels.

Percolative phase transition without the appearance of an infinite network

1981 ◽  
Vol 14 (7) ◽  
pp. L243-L246 ◽  
Author(s):  
F Delyon ◽  
B Souillard ◽  
D Stauffer
Keyword(s):  
Phase Transition ◽  
Infinite Network

Statistical aspects of infinite network formations

1979 ◽  
Vol 19 (4) ◽  
pp. 234-245 ◽  
Author(s):  
Osamu Saito
Keyword(s):  
Infinite Network
Sign in / Sign up

Export Citation Format

Share Document