12 citations · 12 across the 4 of their papers we have counts for
3 papers · 1 filter
When Volumetric Growth Selects Surface Growth
Rohn Abeyaratne, Roberto Paroni, Marco Picchi Scardaoni
We investigate the relationship between volumetric and surface growth within a recently proposed optimization-driven framework for linearly elastic solids. In this approach, growth…
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…