Abstract
We present recent results on the use of the oriented boundary (signed, algebraic) distance function and the tangential differential calculus in the intrinsic modelling of thin/shallow shells. We provide the link with covariant operators and show how to express them without Christoffel symbols. Such models are mathematically more tractable than classical ones.
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Delfour, M.C., Zolésio, JP. (1996). Intrinsic modelling of shells. In: Malanowski, K., Nahorski, Z., Peszyńska, M. (eds) Modelling and Optimization of Distributed Parameter Systems Applications to engineering. IFIP — The International Federation for Information Processing. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-34922-0_2
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DOI: https://doi.org/10.1007/978-0-387-34922-0_2
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