The infinitesimal rigid displacement lemma in Lipschitz co-ordinates and application to shells with minimal regularity
From MaRDI portal
Publication:4812354
DOI10.1002/mma.501zbMath1156.35477OpenAlexW2169111874MaRDI QIDQ4812354
Hervé Le Dret, Sylvia Anicic, Annie Raoult
Publication date: 20 August 2004
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.501
Nonlinear elasticity (74B20) Shells (74K25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Related Items
An introduction to differential geometry with applications to elasticity ⋮ Recovery of a manifold with boundary and its continuity as a function of its metric tensor ⋮ Unique continuation for first-order systems with integrable coefficients and applications to elasticity and plasticity ⋮ Uniqueness of integrable solutions to \(\nabla\zeta=G\zeta\), \(\zeta|_\Gamma=0\) for integrable tensor coefficients \(G\) and applications to elasticity ⋮ A posteriori analysis of penalized and mixed formulations of Koiter's shell model ⋮ A linearly elastic shell over an obstacle: the flexural case ⋮ A nonlinear Korn inequality in \(\mathbb{R}^n\) with an explicitly bounded constant ⋮ Extension of a Riemannian metric with vanishing curvature. ⋮ A Naghdi type nonlinear model for shells with little regularity ⋮ A new linear shell model for shells with little regularity ⋮ First-order shape derivative of the energy for elastic plates with rigid inclusions and interfacial cracks ⋮ A nonlinear Korn inequality on a surface ⋮ A new linear Naghdi type shell model for shells with little regularity ⋮ Estimates for the constant in two nonlinear Korn inequalities
