Volumetric growth in linear elasticity is cast as a constrained optimization problem that determines the growth tensor at each step while satisfying equilibrium, mass balance, and irreversibility.
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math-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A time-discrete variational model for accretive surface growth minimizes mean compliance subject to a global mass constraint and yields a constrained gradient flow in the continuous-time limit.
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Volumetric Growth in Linear Elasticity Driven by an Optimality Criterion
Volumetric growth in linear elasticity is cast as a constrained optimization problem that determines the growth tensor at each step while satisfying equilibrium, mass balance, and irreversibility.
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Surface Growth Driven by an Optimality Criterion
A time-discrete variational model for accretive surface growth minimizes mean compliance subject to a global mass constraint and yields a constrained gradient flow in the continuous-time limit.