5 papers
On the dissipation at a shock wave in an elastic bar
Prashant K. Purohit, Rohan Abeyaratne
This paper aims to quantitatively relate the energy dissipated at a shock wave in a nonlinearly elastic bar to the energy in the oscillations in two related dissipationless, disper…
A continuum model for the growth of dendritic actin networks
Rohan Abeyaratne, Prashant K. Purohit
Polymerization of dendritic actin networks underlies important mechanical processes in cell biology such as the protrusion of lamellipodia, propulsion of growth cones in dendrites…
Treadmilling stability of a one-dimensional actin growth model
Rohan Abeyaratne, Eric Puntel, Giuseppe Tomassetti
Actin growth is a fundamental biophysical process and it is, at the same time, a prototypical example of diffusion-mediated surface growth. We formulate a coupled chemo-mechanical,…
A One-Dimensional Peridynamic Model of Defect Propagation and its Relation to Certain Other Continuum Models
Linjuan Wang, Rohan Abeyaratne
The peridynamic model of a solid does not involve spatial gradients of the displacement field and is therefore well suited for studying defect propagation. Here, bond-based peridyn…
Kinetics of surface growth with coupled diffusion and the emergence of a universal growth path
Rami Abi-Akl, Rohan Abeyaratne, Tal Cohen
Surface growth, by association or dissociation of material on the boundaries of a body, is ubiquitous in both natural and engineering systems. It is the fundamental mechanism by wh…