3 papers
math-ph2026
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…
math-ph2026
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…
math-ph2026
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…