Nonlinear Two-Dimensional Green's Function in Smectics
E A. Brener, V. I. Marchenko, and D. Pilipenko
TL;DR
This paper derives a nonlinear two-dimensional Green's function to analyze strain responses in smectic materials under line forces, providing a mathematical tool for understanding their mechanical behavior.
Contribution
It introduces a novel nonlinear Green's function formulation specifically for two-dimensional smectic strain problems, advancing theoretical modeling capabilities.
Findings
Derived explicit nonlinear Green's function for smectics
Solved the strain problem under line force in smectics
Provides a foundation for further mechanical analysis of smectic materials
Abstract
The problem of the strain of smectics subjected to a force distributed over a line in the basal plane has been solved.
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