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Connected interfaces can transfer load while controlling molecular transport, but geometric connectivity alone does not specify their competing responses. We formulate a variational interface-design benchmark within heterocrystalline chimeric technology (HCT), coupling three-dimensional linear elasticity to two diffusive species. An energy-weighted sensitivity separates sites that strengthen the network from those that excessively suppress throughput. Across 160 generated morphologies and 2,496 primary linear solves, a policy selected on 32 training cases satisfies joint stiffness, throughput and selectivity targets in 118 of 128 independent test cases; equal-dose random, uniform and unpenalized controls satisfy none. This is a fixed-grid result: three of sixteen transferred designs change classification after refinement. Reanalysis of public ceramic and responsive metal–organic framework data establishes experimental trade-offs without calibrating the model. The resulting design criterion combines structural admissibility, response sensitivity and resolution margins, providing a falsifiable computational route for interface engineering rather than a universal connectivity threshold.
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Ying (Fred) Ye (2026) studied this question.
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