Gaussian Curvature in Plates

In course

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Description

This lecture covers the theory of plates, focusing on the framework for the theory of plates, variation of bending and stretching energies, and the Föppl-von Kármán Equations. The lecture delves into the interpretation of mean and Gaussian curvatures of a surface, the curvature tensor, and the principal curvatures. It also discusses the significance of Gaussian curvature in surfaces and the impact of nonlinear strain on the deformation of thin elastic plates.

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Instructor

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Official source

https://mediaspace.epfl.ch/media/0_h8ltd3xl

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Ontological neighbourhood

Mathematics

Geometry: Differential geometry

Analysis: Tensor analysis

Algebra: Linear algebra

Chemical engineering

Materials science: Deformation of materials

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