Nonlocal orthotropic shell model for buckling of microtubules embedded within elastic medium

Nonlocal influences are taken into account when studying the buckling behavior of protein microtubules in the elastic medium. The protein microtubules are modeled using the Winkler model as an orthotropic shell. Combining the two models, a new nonlocal orthotropic Winkler model is created that accounts for nonlocal influences in order to study the buckling of protein microtubules within the elastic medium. The wave propagation approach, a well-known numerical technique, is used to solve the governing equations. The primary goal of the current work is to examine microtubule buckling against dimensionless axial wavelength. This findings and observations supported the conclusions of the earlier investigations.