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

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

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Lewicka, Marta

Pakzad, Reza

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2009-07-09

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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

Keywords

calculus of variations

nonlinear elasticity

shell theories

Gamma convergence

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Lewicka, Marta; Pakzad, Reza. (2009). The infinite hierarchy of elastic shell models: some recent results and a conjecture. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/51944.

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