The infinite hierarchy of elastic shell models: some recent results and a conjecture

Details The infinite hierarchy of elastic shell models: some recent results and a conjecture The infinite hierarchy of elastic shell models: some recent results and a conjecture

2009-07-09

arxiv.org/abs/0907.1585v1

Mathematics

Analysis of PDEs

11 pages, 1 figure

Scientific paper

We summarize some recent results of the authors and their collaborators, regarding the derivation of thin elastic shell models (for shells with mid-surface of arbitrary geometry) from the variational theory of 3d nonlinear elasticity. We also formulate a conjecture on the form and validity of infinitely many limiting 2d models, each corresponding to its proper scaling range of the body forces in terms of the shell thickness.

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