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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2003

On rigid displacements and their relation to the infinitesimal rigid displacement lemma in three-dimensional elasticity

Résumé

Let Ω be an open connected subset of R^3 and let Θ be an immersion from Ω into R^3. It is established that the set formed by all rigid displacements of the open set Θ(Ω) is a submanifold of dimension 6 and of class C^∞ of the space H^1(Ω). It is also shown that the infinitesimal rigid displacements of the same set Θ(Ω) span the tangent space at the origin to this submanifold.

Dates et versions

hal-01077592 , version 1 (25-10-2014)

Identifiants

Citer

Philippe G. Ciarlet, Cristinel Mardare. On rigid displacements and their relation to the infinitesimal rigid displacement lemma in three-dimensional elasticity. Comptes Rendus. Mathématique, 2003, 336, pp.873-878. ⟨10.1016/S1631-073X(03)00191-2⟩. ⟨hal-01077592⟩
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