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Key Characteristics Orientation Defect density Anchoring. Computational and Topological Modeling of Mesophase Carbon Composites. Alejandro D. Rey, Dept. of Chemical Engineering, McGill University, Montreal, Quebec, Canada H3A2B2. - PowerPoint PPT Presentation
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Computational and Topological Modeling of Mesophase Carbon CompositesComputational and Topological Modeling of Mesophase Carbon CompositesAlejandro D. Rey, Dept. of Chemical Engineering, McGill University, Montreal,
Quebec, Canada H3A2B2
Textures in mesophase pitch carbon/carbon fiber composites are a function of : (1) fiber arrangements, (2) processing flows , and (3) wetting and interfacial anchoring.
Mesophase Pitch: polycyclic aromatics with a viscoelastic anisotropic discotic nematic phase; n is the average orientation.
C/C composites : carbon fibers randomly dispersed in a mesophase pitch are an example of anisotropic colloids. Inserting fibers into a liquid crystal creates a texture; the specific textural features depend on the topology of the fiber arranegement (see 1).
Key CharacteristicsKey Characteristics1. Orientation
2. Defect density
3. Anchoring
1. Fiber arrangements (topology)
Array strength Core
Structure
TriangularSquarePentagonalHexagonal
-1/2-1-3/2-2
SingularEscapeSingularEscape
2. Liquid Crystal Coating Flows(collaboration with M. Srinivasarao (Georgia Tech)Soft Matter 5, 2277, 2009))
3. Wetting and Anchoring on Fiber Bundles
Theory shows that the defect charge around N fibers is –(N-2)/2.
nCoating thickness : h V /
isotropic : n 2 / 3, liquid crystal : n 1
Anisotropic fluids have cross couplings.Shear deformation creates extensional stress!
21 / 8 0c cLCb f LC ibLS r
L:elastic constant S:order parameterrf:fiber radiusLC:inter. tensiom
cLCb
:
cLC critical LC
spreading parameter
:
ci critical isotropic
spreading parameter
Liquid crystals always wet fiber bundles. The critical spreading parameter is larger for LCs than for isotropic fluids.