Work

On the net displacement of contractile elastic bodies subjected to surface friction

Year: 2020
Type: preprint
Abstract: We show that for an elastic body undergoing a set of self-equilibrated contractile forces and negligible inertial forces, and subjected to a linear frictional boundary condition, the mean displacement averaged on the contact surface is zero. This fact demonstrates the inability of slender organisms to move under this friction condition if the contact surface remains constant, regardless of the contractility strategy employed. We extend our results to non-homogeneous and anisotropic friction, illustrate our conclusions with two examples, and comment on strategies for net propulsion.
Language: English
Open Access status: green
OpenAlex ID: W3088664039
Cites: 19
Cited by:
Related to: 10