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Automatic Laser-based Geometry Capture for Finite Element Analysis of Weld Beads

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Frustrated order on extrinsic geometries.

Badel L Mbanga¹, Gregory M Grason, Christian D Santangelo

¹Department of Polymer Science and Engineering, University of Massachusetts, Amherst, Massachusetts 01003, USA. badel@polysci.umass.edu

Physical Review Letters

|February 7, 2012

Summary

This summary is machine-generated.

Extrinsic geometry in anisotropic liquids can unexpectedly expel topological defects, like disclinations, from areas of high curvature. This finding reveals complex ground-state thermodynamics influenced by surface bending. Keywords: anisotropic liquids, topological defects, extrinsic curvature, disclinations.

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Area of Science:

Soft Matter Physics
Materials Science
Theoretical Physics

Background:

Topological defects in anisotropic liquids are typically confined by intrinsic surface geometry.
Extrinsic geometric couplings introduce frustration by orienting order along bending directions.
Understanding these interactions is key to predicting material behavior.

Purpose of the Study:

To investigate the impact of extrinsic surface geometry on topological defects in anisotropic liquids.
To analyze the complex ground-state thermodynamics arising from geometric frustration.
To elucidate the role of curvature in defect behavior using a catenoid model.

Main Methods:

Numerical simulations of defect behavior in anisotropic liquid systems.
Theoretical analysis of defect-geometry couplings.
Utilizing the catenoid as a prototype surface for detailed study.

Main Results:

Extrinsic curvature was found to expel disclinations from regions of maximum curvature above a critical coupling threshold.
This effect contrasts with the confinement typically induced by intrinsic geometry.
Defects were entirely expelled from certain catenoid geometries above a critical neck size.

Conclusions:

Extrinsic geometric couplings significantly alter the distribution and behavior of topological defects.
Surface bending introduces complex thermodynamic behaviors not predicted by intrinsic geometry alone.
The findings have implications for designing materials with controlled defect structures.