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INCREASE IN GAUSSIAN CURVATURE
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Classroom Contents
Wrinkling - Oxford Mathematics Research Seminar
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- 1 Intro
- 2 MOTIVATION
- 3 BASIC MECHANISM
- 4 THEOREMA EGREGIUM
- 5 THE ELASTICA
- 6 WASTING LENGTH
- 7 SIMPLEST WRINKLING PROBLEM
- 8 ANOTHER WAY OF THINKING
- 9 WHAT HAPPENS BEYOND ONSET?
- 10 INSTABILITY ANALYSIS
- 11 A PROBLEM
- 12 SOME (SCHOOL) GEOMETRY
- 13 ESSENTIAL IDEA
- 14 APPLICATION TO EXPERIMENT
- 15 INTERPRETATION
- 16 LAMÉ PROBLEM: REVISITED
- 17 RECAP ON ISOMETRIES
- 18 FORCING GAUSSIAN CURVATURE
- 19 EXPERIMENTS
- 20 EVOLUTION OF STRESS
- 21 FINITE SHEET SIZE MATTERS
- 22 MEAN INTERFACIAL SHAPE
- 23 POKING FORCE
- 24 ENERGETIC STRUCTURE Why is curved shape allowed?
- 25 WRINKLE NUMBER
- 26 MIRROR BUCKLING
- 27 WHAT REALLY HAPPENS
- 28 THE WRINKLED SHAPE
- 29 INCREASE IN GAUSSIAN CURVATURE
- 30 WHITHER GAUSS?
- 31 VARIATIONAL PRINCIPLES
- 32 TAKE HOME MESSAGES
- 33 FUNDING ACKNOWLEDGMENTS
