39 citations · 95 across the 8 of their papers we have counts for
11 papers
Volumetric Growth in Linear Elasticity Driven by an Optimality Criterion
Rohan Abeyaratne, Roberto Paroni, Marco Picchi Scardaoni
Using linearized elasticity as a convenient mechanical framework, we show that volumetric growth can be formulated as an optimization-driven process in which the growth tensor is d…
Surface Growth Driven by an Optimality Criterion
Rohan Abeyaratne, Roberto Paroni, Marco Picchi Scardaoni
We propose a variational framework for accretive surface growth driven by an optimality principle. Rather than prescribing a kinetic law, the configuration at each time step is obt…
An N-Plus-1 GPT Agency for Critical Solution of Mechanical Engineering Analysis Problems
Anthony Patera, Rohan Abeyaratne
Generative AI, and specifically GPT, can produce a remarkable solution to a mechanical engineering analysis problem - but also, on occasion, a flawed solution. For example, an elem…
Using stochastic thermodynamics with internal variables to capture orientational spreading in cell populations undergoing cyclic stretch
Rohan Abeyaratne, Sanjay Dharmaravan, Giuseppe Saccomandi +1
We revisit the modeling framework introduced in [N. Loy and L. Preziosi: Bull. Math. Bio., 85, 2023] to describe the dynamics of cell orientation under cyclic stretch. We propose a…
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…
Steady accretion of an elastic body on a hard spherical surface and the notion of a four-dimensional reference space
Giuseppe Tomassetti, Tal Cohen, Rohan Abeyaratne
Taking the cue from experiments on actin growth on spherical beads, we formulate and solve a model problem describing the accretion of an incompressible elastic solid on a rigid sp…
Linearized Theory of Traffic Flow
Tal Cohen, Rohan Abeyaratne
The equation of motion of a general class of macroscopic traffic flow models is linearized around a steady uniform flow. A closed-form solution of a boundary-initial value problem…