Week 10: Stage 4 Overview: Prediction, Design, and the Crispness Deep-Dive

How Stage 4 turns Stage 3's models into predictions and then a design tool, with a full lecture on crispness as a metastable material state.

3 May 2027

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Outline#

• Recap: Stages 1–3 built the vocabulary (states, moduli, flow), the structural models (networks, gels, emulsions) and the transformation models (transport, kinetics, phase transitions) that Stage 4 now puts to work.
• Module 10 turns “does this model look right” into a number: fitting a model to data, reading a residual and an R², and being honest about a model that fits badly rather than the one you hoped would fit.
• Module 11 builds a design space directly from Module 9’s glass-transition work — the same physics, reframed as a map with a target region on it rather than a single prediction.
• This lecture’s second half is a full deep-dive — Crispness Is a Metastable State — on why a crisp food is not in true equilibrium: the physics of the glass transition, water activity, moisture migration in amorphous food solids, why a crisp structure fractures the way it does, where this family of models breaks down, and how it connects directly to the Crispness Phase Diagram instrument you’ll use in the Laboratory Portfolio.
• Module 12 then asks the question in reverse: given a target texture, which free variables in these models would you change, and by how much.