Buckling of chiral rods due to coupled axial and rotational growth

TL;DR

This paper introduces a growth model for Cosserat rods with microstructure, demonstrating how coupled axial and rotational growth can induce out-of-plane buckling in chiral rods.

Contribution

It develops a novel growth law for Cosserat rods with microstructure, revealing growth-induced buckling phenomena in chiral rods with specific symmetries.

Findings

Growth-induced out-of-plane buckling observed in chiral rods.

Microstructure influences deformation behavior during growth.

New growth model captures coupled axial and rotational effects.

Abstract

We present a growth model for special Cosserat rods that allows for induced rotation of cross-sections. The growth law considers two controls, one for lengthwise growth and other for rotations. This is explored in greater detail for straight rods with helical and hemitropic material symmetries by introduction of a symmetry preserving growth to account for the microstructure. The example of a guided-guided rod possessing a chiral microstructure is considered to study its deformation due to growth. We show the occurrence of growth induced out-of-plane buckling in such rods.