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Buckling of chiral rods due to coupled axial and rotational growth
Author(s) -
Pradhan Satya Prakash,
Saxena Prashant
Publication year - 2021
Publication title -
mathematics and mechanics of solids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.672
H-Index - 44
eISSN - 1741-3028
pISSN - 1081-2865
DOI - 10.1177/1081286521999704
Subject(s) - rod , rotation (mathematics) , buckling , microstructure , symmetry (geometry) , materials science , rotational symmetry , homogeneous space , deformation (meteorology) , plane (geometry) , mechanics , geometry , composite material , physics , mathematics , pathology , medicine , alternative medicine
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 another for rotations. This is explored in greater detail for straight rods with helical and hemitropic material symmetries by introduction of 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.

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