Abstract
We derive the free boundary conditions and associated strong form of a shallow Kirchhoff shell model based on the intrinsic geometry methods of Michael Delfour and Jean-Paul Zolésio. Manipulations with the model result in a cleaner form where the displacement of the shell and shell boundary is written explicitly in terms of standard tangential operators.
Research supported by the National Science Foundation under Grant INT-0104431.
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35690-7_44
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Cagnol, J., Lebiedzik, C. (2003). Free Boundary Conditions for Intrinsic Shell Models. In: Barbu, V., Lasiecka, I., Tiba, D., Varsan, C. (eds) Analysis and Optimization of Differential Systems. SEC 2002. IFIP — The International Federation for Information Processing, vol 121. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35690-7_9
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DOI: https://doi.org/10.1007/978-0-387-35690-7_9
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