We develop a numerical scheme to determine which planar snake motions are optimal for locomotory efficiency, across a wide range of frictional parameter space. For a large coefficient of transverse friction, we show that retrograde traveling waves are optimal. We give an asymptotic analysis showing that the optimal wave amplitude decays as the -1/4 power of the coefficient of transverse frictio...

Protein translocation in cells has been modelled by Brownian ratchets. In such models, the protein diffuses through the nanopore by thermal fluctuations. On one side of the pore ratcheting molecules bind to the protein and hinder it to diffuse out of the pore. We study a simple Brownian ratchet by means of a reflected Brownian motion (Xt)t≥0 with a changing reflection point (Rt)t≥0. The rate of...

Thermally induced ratcheting of a thermo-active pile is the accumulation net and irreversible head displacement upon heating–cooling cycles. Although this kind phenomenon has been observed in vertically loaded piles sand, it unknown whether exists laterally cases, also what underlying mechanisms occur under thermomechanical flexural soil–pile interaction. This study presents series centrifuge t...

The paper reports the development of an implicit numerical scheme for plane stress cyclic elasto-plasticity, capable integrating a wide range hardening rules, and simulating multi-axial ratcheting in metal structural components. Constitutive relations account von Mises yielding combination with mixed hardening. Emphasis is given to kinematic part, which described advanced multiple back-stress m...