Numerical Simulations for Sensitive Shells

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 e tends toward zero. A complexification phenomenon (large oscillations corresponding to a new kind of instability) appears on the free boundary.