On morphoelastic rods
Classical Physics
2014-10-24 v3 Materials Science
Abstract
Morphoelastic rods are thin bodies which can grow and can change their intrinsic curvature and torsion. We deduce a system of equations ruling accretion and remodeling in a morphoelastic rod by combining balance laws involving non-standard forces with constitutive prescriptions filtered by a dissipation principle that takes into account both standard and non-standard working. We find that, as in the theory of three-dimentional bulk growth proposed in [A. DiCarlo and S. Quiligotti, Mech. Res. Commun. 29 (2002) 449-456], it is possible to identify a universal coupling mechanism between stress and growth, conveyed by an Eshelbian driving force.
Cite
@article{arxiv.1402.3763,
title = {On morphoelastic rods},
author = {Alessandro Tiero and Giuseppe Tomassetti},
journal= {arXiv preprint arXiv:1402.3763},
year = {2014}
}