4 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…