• DOI:10.1016/j.jfa.2013.09.003
Corpus ID: 119325179

A Riemannian Approach to Reduced Plate, Shell, and Rod Theories

@article{Kupferman2014ARA,
  title={A Riemannian Approach to Reduced Plate, Shell, and Rod Theories},
  author={R. Kupferman and Jake P. Solomon},
  journal={Journal of Functional Analysis},
  year={2014},
  volume={266},
  pages={2989-3039}
}

R. Kupferman, Jake P. Solomon

Published 2014

Mathematics, Physics

Journal of Functional Analysis

Abstract We derive a dimensionally-reduced limit theory for an n-dimensional nonlinear elastic body that is slender along k dimensions. The starting point is to view an elastic body as an n-dimensional Riemannian manifold together with a not necessarily isometric W 1 , 2 -immersion in n-dimensional Euclidean space. The equilibrium configuration is the immersion that minimizes the average discrepancy between the induced and intrinsic metrics. The dimensionally-reduced limit theory views the… CONTINUE READING

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