Symmetries and Conservation Laws

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Related lectures (32)

Page 3 of 4

Explores normal curvature on a surface, discussing oriented curvature, existence proofs, and elimination methods for finding curvature.

Plates I: Deformation and Energy

Covers the deformation of plates in pure bending, total strain energy, and wrinkling phenomena, exploring applications and implications of substrate stiffness on wrinkling.

Curves with Poritsky Property and Liouville Nets

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.

Testing General Relativity with Cosmology

Explores Testing General Relativity with Cosmology, covering topics like the curvature tensor, teleparallelism, and black holes in f(Q).

Rigidity in Negative Curvature

Delves into the rigidity of negatively curved manifolds and the interplay between curvature and symmetry.

Curves in the Oriented Plane

Explores curves in the oriented plane, discussing orientation, vector spaces, equivalence relations, and curvature of regular curves.

Buckling of Plates: Post-Buckling Deformation Behavior Investigation

Investigates post-buckling deformation behavior, bending energy derivation, and in-plane stretching energy considerations in square plates.

Curvature and Osculating Circle

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Linear Momentum Conservation and Stress in Continuum

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Beam Bending II: Internal Forces, Curvature, and Stiffness

Covers advanced topics in beam bending, stress tensors, elasticity, and Atomic Force Microscopy.