A Hierarchy of Plate Models Derived from Nonlinear Elasticity by Gamma-Convergence

A theorem on geometric rigidity and the derivation of nonlinear plate theory from three‐dimensional elasticity

Gero Friesecke, Richard D. James, Stefan Müller · Communications on Pure and Applied Mathematics · 2002 · 747 citations · Full text

Engineering, Mechanical Engineering, Relativity +15

Rotation and strain

Fritz John · Communications on Pure and Applied Mathematics · 1961 · 342 citations

The Relaxed Energy Density for Isotropic Elastic Membranes

A. C. Pipkin · IMA Journal of Applied Mathematics · 1986 · 286 citations

Natural Sciences, Materials Science, Mechanical Behavior Of Materials +16

Tension-field theory

David J. Steigmann · Proceedings of the Royal Society of London A Mathematical and Physical Sciences · 1990 · 279 citations

Natural Sciences, Materials Science, Finite Element Analysis +16

On Spherical Image Maps Whose Jacobians Do Not Change Sign

Philip Hartman, Louis Nirenberg · American Journal of Mathematics · 1959 · 269 citations

Engineering, Vision Science, Computer Vision +6