# Hemihelical local minimizers in prestrained elastic bi-strips

## TL;DR

This paper analyzes the bifurcation behavior of prestrained elastic bi-strips, demonstrating the emergence of hemihelical local minimizers from the straight configuration under specific forces, with implications for 3D elastic systems.

## Contribution

It provides a rigorous proof of supercritical bifurcation leading to hemihelical minimizers in a limit rod model with intrinsic curvature, extending understanding of elastic stability.

## Key findings

- Hemihelical local minimizers bifurcate supercritically from straight configurations.
- Existence of nontrivial local minimizers in the three-dimensional elastic system.
- Bifurcation occurs at a critical force with clamped boundary conditions.

## Abstract

We consider a double layered prestrained elastic rod in the limit of vanishing cross section. For the resulting limit Kirchoff-rod model with intrinsic curvature we prove a supercritical bifurcation result, rigorously showing the emergence of a branch of hemihelical local minimizers from the straight configuration, at a critical force and under clamping at both ends. As a consequence we obtain the existence of nontrivial local minimizers of the $3$-d system.