Abstract
Chapter 7 was devoted to the study of singularities for elliptic well-inhibited shells, or equivalently elliptic shells clamped all along their lateral boundary. In chapter 8, we considered elliptic shells having a part of their boundary which is free. In that case, they are ill inhibited (and even “sensitive”, i.e. V m is not a space of distribution), and the problem is more complex. A pathological behavior emerges progressively when ε tends toward zero. A complexification phenomenon (large oscillations corresponding to a new kind of instability) appears on the free boundary.
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© 2010 Springer-Verlag Berlin Heidelberg
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Sanchez-Palencia, E., Millet, O., Béchet, F. (2010). Numerical Simulations for Sensitive Shells. In: Singular Problems in Shell Theory. Lecture Notes in Applied and Computational Mechanics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13815-7_10
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DOI: https://doi.org/10.1007/978-3-642-13815-7_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-13814-0
Online ISBN: 978-3-642-13815-7
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