Expert-level polymer science covering polymer structure, thermoplastics and thermosets, mechanical behavior, processing methods, and polymer selection for engineering applications.
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Molecular weight: number average Mn and weight average Mw, PDI = Mw over Mn. Crystallinity: semi-crystalline polymers have ordered regions, affects stiffness. Glass transition: Tg separates glassy from rubbery behavior. Stereoregularity: isotactic, syndiotactic, atactic affect crystallinity. Crosslinking: connects chains, creates thermoset, prevents flow.
Viscoelasticity: time and temperature dependent, creep and stress relaxation. Time-temperature superposition: shift factor WLF equation. Creep: deformation under constant stress, must design against for structural parts. Impact strength: notch sensitivity, Izod and Charpy tests. Fatigue: polymers fatigue at lower fractions of tensile strength than metals.
Commodity: PE, PP, PVC, PS, PET for high volume low cost applications. Engineering: nylon, POM, PC, PBT for structural applications. High performance: PEEK, PPS, PTFE for high temperature and chemical resistance. Processing: injection molding, extrusion, blow molding, thermoforming.
Epoxy: excellent adhesion and chemical resistance, brittle without toughener. Polyurethane: flexible to rigid range, foams, coatings, adhesives. Phenolic: high temperature resistance, used in circuit boards and brake pads. Cure kinetics: exothermic reaction, control temperature to avoid runaway.
| Pitfall | Fix |
|---|---|
| Using room temperature properties at elevated service temperature | Test at actual service temperature |
| Ignoring creep under sustained load | Use creep rupture data for long term loading |
| Wrong polymer for UV exposure | UV stabilization required for outdoor applications |
| Inadequate drying before processing | Moisture causes degradation in hygroscopic polymers |
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Expert-level abstract algebra knowledge. Use when working with groups, rings, fields, modules, Galois theory, representation theory, or algebraic structures. Also use when the user mentions 'group', 'ring', 'field', 'homomorphism', 'isomorphism', 'normal subgroup', 'quotient group', 'Sylow theorem', 'Galois theory', 'polynomial ring', 'ideal', 'module', 'vector space', or 'representation theory'.
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Expert-level acoustics knowledge. Use when working with sound waves, acoustic propagation, resonance, standing waves, Doppler effect, room acoustics, ultrasound, noise control, musical acoustics, or architectural acoustics. Also use when the user mentions 'sound wave', 'decibel', 'frequency', 'resonance', 'standing wave', 'Doppler effect', 'acoustic impedance', 'reverberation', 'ultrasound', 'noise control', 'harmonics', or 'sound intensity'.
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Expert-level aerodynamics covering subsonic and supersonic flow, lift and drag, airfoil theory, boundary layers, compressible flow, and CFD methods.
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Expert-level air quality engineering covering pollutant sources, atmospheric dispersion, air quality standards, emission controls, and air quality modeling.
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Expert-level aircraft structures covering structural design philosophy, wing and fuselage analysis, fatigue and damage tolerance, composite structures, and certification.
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Expert-level algorithms and complexity theory covering sorting, searching, graph algorithms, dynamic programming, greedy algorithms, NP-completeness, and algorithm design paradigms.
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