Mathematical justification of an elastic elliptic membrane obstacle problem |
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| Affiliation: | E.T.S. Náutica e Máquinas, Paseo de Ronda, 51, 15011, Departamento de Métodos Matemáticos e Representación, Universidade da Coruña, Spain |
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| Abstract: | Starting from the 3D Signorini problem for a family of elastic elliptic shells, we justify that the obstacle problem of an elastic elliptic membrane is the right approximation posed in a 2D domain, when the thickness tends to zero. Specifically, we provide convergence results in the scaled and de-scaled formulations. |
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| Keywords: | Shells Contact Asymptotic analysis Elasticity Membrane Rigid foundation Signorini |
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