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Three-dimensional shear-driven dynamics of polydomain textures and disclination loops in liquid crystalline polymers
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10.1122/1.2890779
/content/sor/journal/jor2/52/3/10.1122/1.2890779
http://aip.metastore.ingenta.com/content/sor/journal/jor2/52/3/10.1122/1.2890779

Figures

Image of FIG. 1.
FIG. 1.

Schematics of (a) the three-dimensional shear flow domain and (b) velocity and (c) director vector components, where is the tip angle (i.e., the angle between the director and plane). The flow field is bounded along the direction by parallel plates separated at a distance and along the and directions by periodic boundaries separated by a distance and , respectively. is the relative velocity between the two plates.

Image of FIG. 2.
FIG. 2.

Development of polydomain texture in the simulation. The regions between orientational domains are highlighted using isosurfaces corresponding to (blue) and (red), being the tip angle. Note: a color animation showing the development of the polydomain texture is available online. [URL: http://dx.doi.org/10.1122/1.2890779.1]10.1122/1.2890779.1

Image of FIG. 3.
FIG. 3.

Top-down view (along the negative axis) of the directer profile and neighboring orientational domains along spanwise direction.

Image of FIG. 4.
FIG. 4.

solution at strain units: domain structure. (a) Contour slices of the tip angle magnitude for -planes along the flow direction and (b) secondary flow vector field and contour for the plane.

Image of FIG. 5.
FIG. 5.

, orientational domain breakdown and dynamics leading to disclination formation: contour slices of the tip angle magnitude for -planes along the flow direction. The disclination that appears in (d), as indicated by the object labeled “defect” (red online) centered at , is rendered using an isosurface, being the scalar order parameter. Note: a color animation showing the dynamics leading to disclination formation is available online. [URL: http://dx.doi.org/10.1122/1.2890779.2]10.1122/1.2890779.2

Image of FIG. 6.
FIG. 6.

Evolution of the free energy as a function of applied strain for . The labeled arrows indicate strains corresponding to the data presented in Fig. 5.

Image of FIG. 7.
FIG. 7.

, disclination dynamics: contour slices of the tip angle magnitude for constant along the flow direction and disclinations as indicated by the distorted loops (red online) rendered using isosurfaces. Note: a color animation showing the dynamics of the disclinations is available online. [URL: http://dx.doi.org/10.1122/1.2890779.3]10.1122/1.2890779.3

Image of FIG. 8.
FIG. 8.

: close-up of a cutout region about the interface between orientational domains during the evolution of the disclination structure. The regions between neighboring domains are highlighted using alternating red and blue isosurfaces respectively corresponding to and , where is the tip angle. (The reader should note that the shading in the isosurfaces is only a consequence of the fact that the isosurfaces are slightly transparent.)

Image of FIG. 9.
FIG. 9.

at strain units: coupling of disclination and flow structures. Close-up of disclination shown in Fig. 7(b). (top) Secondary flow vector field and contour of the order parameter and (bottom) director vector field and contour of the tip angle magnitude at (a) , (b) , and (c) . The three-armed symbols and circles in (b) and (c) indicate the respective intersections of and portions of the disclination loop and the plane. Note: a color animation showing the disclination and flow structure along the disclination “backbone” is available online. [URL: http://dx.doi.org/10.1122/1.2890779.4]10.1122/1.2890779.4

Image of FIG. 10.
FIG. 10.

, disclination coalescence: contour slices of the tip angle magnitude for constant along the flow direction and disclinations as indicated by the distorted loops (red online) rendered using isosurfaces.

Image of FIG. 11.
FIG. 11.

, disclination dynamics: Contour slices of the tip angle magnitude for constant along the flow direction and disclinations as indicated by the lines and loops (red online) rendered using isosurfaces. Note: a color animation showing the development of the polydomain texture and disclinations is available online. [URL: http://dx.doi.org/10.1122/1.2890779.5]10.1122/1.2890779.5

Image of FIG. 12.
FIG. 12.

at strain units: coupling of disclination and flow structures. Close-up of disclination shown in Fig. 11(c). (top) Secondary flow vector field and contour of the order parameter and (bottom) director vector field and contour of the tip angle magnitude at (a) , (b) , and (c) . The three-armed symbols and circles in (b) and (c) indicate the respective intersections of and portions of the disclination loop and the plane.10.1122/1.2890779

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/content/sor/journal/jor2/52/3/10.1122/1.2890779
2008-05-01
2014-04-18
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Three-dimensional shear-driven dynamics of polydomain textures and disclination loops in liquid crystalline polymers
http://aip.metastore.ingenta.com/content/sor/journal/jor2/52/3/10.1122/1.2890779
10.1122/1.2890779
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