A general expression for the strain energy of a homogeneous, isotropic, plane extensible elastica with an arbitrary undeformed configuration is derived. This expression appears to be suitable for one-dimensional models of polymers or vesicles, the natural configuration of which is characterized by locally changing curvature. In a linear setting, we derive the macroscopic stress–strain relations, providing an universal criterion for the neutral curve location. In this respect, we further demonstrate that the neutral curve existence constitutes the fundamental requirement for the conformational dynamics of any inextensbile biological filament.

General theory for plane extensible elastica with arbitrary undeformed shape / Taloni, Alessandro; Vilone, Daniele; Ruta, Giuseppe. - In: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. - ISSN 0020-7225. - 193:(2023). [10.1016/j.ijengsci.2023.103941]

General theory for plane extensible elastica with arbitrary undeformed shape

Giuseppe Ruta
Ultimo
Writing – Review & Editing
2023

Abstract

A general expression for the strain energy of a homogeneous, isotropic, plane extensible elastica with an arbitrary undeformed configuration is derived. This expression appears to be suitable for one-dimensional models of polymers or vesicles, the natural configuration of which is characterized by locally changing curvature. In a linear setting, we derive the macroscopic stress–strain relations, providing an universal criterion for the neutral curve location. In this respect, we further demonstrate that the neutral curve existence constitutes the fundamental requirement for the conformational dynamics of any inextensbile biological filament.
2023
elasticity; neutral curve; linear deformations
01 Pubblicazione su rivista::01a Articolo in rivista
General theory for plane extensible elastica with arbitrary undeformed shape / Taloni, Alessandro; Vilone, Daniele; Ruta, Giuseppe. - In: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE. - ISSN 0020-7225. - 193:(2023). [10.1016/j.ijengsci.2023.103941]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1687101
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