A Gurtin–Murdoch surface elasticity framework for hollow cylindrical nanostructures: Application in the vibration analysis of microtubules
Published online on July 23, 2026
Abstract
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Ahead of Print.
This study presents a novel extension of the Gurtin–Murdoch surface elasticity theory for hollow cylindrical nanostructures and establishes a unified higher-order framework for analyzing the vibration of anisotropic microtubules (MTs) immersed in ...
This study presents a novel extension of the Gurtin–Murdoch surface elasticity theory for hollow cylindrical nanostructures and establishes a unified higher-order framework for analyzing the vibration of anisotropic microtubules (MTs) immersed in ...