Nonlocal Elasticity Theory for the Mechanical Behavior of Protein Microtubules

In this work, Reddy beam theory is used with the nonlocal differential constitutive relations of Eringen, and the equations of motion of the protein microtubules in terms of the generalized displacements are presented. Analytical solution of bending the protein microtubules is presented to bring out the effect of the nonlocal behavior on deflections. The theoretical development as well as numerical solutions presented herein should serve as references for nonlocal theories of the protein microtubules or beams.

Automated summary

In this work, the Reddy beam theory is used in combination with Eringen's nonlocal differential constitutive relations to derive equations of motion for protein microtubules in terms of generalized displacements. An analytical solution for bending protein microtubules is presented to showcase the impact of nonlocal behavior on deflections. The theoretical developments and numerical solutions provided here can serve as references for nonlocal theories of protein microtubules or beams.