1997
DOI: 10.1021/ma9705331
|View full text |Cite
|
Sign up to set email alerts
|

Stability Analysis of Catenoidal Shaped Liquid Crystalline Polymer Networks

Abstract: The equations of nematic liquid crystal hydrostatics are used to determine the driving forces that cause the breakup of catenoidal shaped liquid crystalline networks during the phase separation of isotropic and nematic phases. The catenoidal shaped liquid crystalline network is assumed to be an elastic network embedded in an isotropic matrix. The elasticity of the network arises from isotropic surface contributions (interfacial tension) and bulk orientation gradients (Frank elasticity). For liquid crystalline … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
4
0

Year Published

2003
2003
2012
2012

Publication Types

Select...
2
1

Relationship

0
3

Authors

Journals

citations
Cited by 3 publications
(5 citation statements)
references
References 9 publications
1
4
0
Order By: Relevance
“…LC molecules in the channel flow from the thinnest center toward the thickest ends of the channels and then orient along the flow direction. The driving force for the flow is the capillary pressure between the thinnest center and the thickest ends of the channels. ,5i,, Because of this flow, the channels become thinner and thinner; finally, it breaks up at a critical diameter of about 1 μm,5i resulting in an increase in network size and spacing. To further lower the interface free energy of the system, the broken-up arms will shrink and reshape into smoother network.…”
Section: Discussionsupporting
confidence: 80%
“…LC molecules in the channel flow from the thinnest center toward the thickest ends of the channels and then orient along the flow direction. The driving force for the flow is the capillary pressure between the thinnest center and the thickest ends of the channels. ,5i,, Because of this flow, the channels become thinner and thinner; finally, it breaks up at a critical diameter of about 1 μm,5i resulting in an increase in network size and spacing. To further lower the interface free energy of the system, the broken-up arms will shrink and reshape into smoother network.…”
Section: Discussionsupporting
confidence: 80%
“…Water minimizes its surface free energy by adopting this shape (36). Viscous flow inside the catenoid creates fluid movement both up and down from the thinnest toward the thickest section of the channel (37). Coalescence thins out the inner channel ( Fig.…”
Section: Resultsmentioning
confidence: 99%
“…Equation ( 5) represents the second variation of area A with respect to the horizontal displacement of the bottom ring, assuming that the surface S continuously satisfies the minimal property (10). Its right hand side ( 5) is positive for all H as evidenced by the plot in Fig.…”
Section: Discussionmentioning
confidence: 99%
“…The interior condition on C is obtained by applying the δ/δt-derivative to equation (10), which results in the differential equation…”
Section: Calculation Of Cmentioning
confidence: 99%
See 1 more Smart Citation