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Non-smoothness in the asymptotics of thin shells and propagation of singularities. Hyperbolic case

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Karamian P., Sanchez-Hubert J., Palencia É. S.

International Journal of Applied Mathematics and Computer Science

2002

tom 12

nr 1

81-90

We consider the limit behaviour of elastic shells when the relative thickness tends to zero. We address the case when the middle surface has principal curvatures of opposite signs and the boundary conditions ensure the geometrical rigidity. The limit problem is hyperbolic, but enjoys peculiarities which imply singularities of unusual intensity. We study these singularities and their propagation for several cases of loading, giving a somewhat complete description of the solution.

Ograniczanie wyników

1 International Journal of Applied Mathematics and Computer Science

1 Karamian P.

1 Palencia É. S.

1 Sanchez-Hubert J.

1 2002

Wyniki wyszukiwania

Non-smoothness in the asymptotics of thin shells and propagation of singularities. Hyperbolic case