Explore the mechanics of wrinkling, folding, and crumpling in this advanced lecture from the Bangalore School on Statistical Physics. Delve into the fascinating world of flexible objects like sheets, filaments, and ribbons that create diverse patterns in nature and technology. Examine small deformations such as wrinkles and ripples, and learn how instabilities can be harnessed as technological tools rather than viewed as failures. Cover key concepts including stress, pressure, body forces, torque balance, and material constants like Lamé constants and Young's modulus. Gain insights into the physics behind everyday phenomena from fabric folds to the Earth's crust, with examples ranging from sea urchins to technological applications.
Mechanics of Wrinkling, Folding and Crumpling - Lecture 1
International Centre for Theoretical Sciences via YouTube
Overview
Syllabus
Bangalore School on Statistical Physics - IX
Mechanics of wrinkling, folding and crumpling Lecture 01
Bangalore Statistical Physics School
Objects that are flexible purely for geometric reasons sheets, filaments and ribbons make an overwhelming variety of patterns in nature and in the technological world.
Sea urchin
Sharon, Swinney, Marder
Fabric & Earth's Skin
Small deformations: wrinkles, ripples
Overall goals of our discussion
Instability not as "failure" but technological tool
Plan
Things I will not do
Stress
Pressure normal stresses - diagonal
Body forces
Stresses
Torque balance
Symmetric
Material constant -Lame constants
Young's modulus
Bend
Taught by
International Centre for Theoretical Sciences
