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Please use this identifier to cite or link to this item: http://hdl.handle.net/11299/51944

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
URI: http://purl.umn.edu/51944
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