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| Title: | The infinite hierarchy of elastic shell models: some recent results and a conjecture |
| Authors: | Lewicka, Marta
Pakzad, Reza |
| Keywords: | calculus of variations
nonlinear elasticity
shell theories
Gamma convergence |
| Issue Date: | 9-Jul-2009 |
| Abstract: | 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 $3$d nonlinear elasticity. We also formulate a conjecture on the form and validity of infinitely many limiting $2$d models, each corresponding to its proper scaling range of the body forces in terms of the shell thickness |
| Permanent URL: | http://purl.umn.edu/51944 |
| Appears in Collections: | Preprints
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| infinite_hierarchy2.pdf | | 173Kb | PDF | View/Open |
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