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Recovery of a displacement field on a surface from its linearized change of metric and change of curvature tensors

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Publication:883522
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DOI10.1016/J.CRMA.2007.03.019zbMath1112.74004OpenAlexW1987957048MaRDI QIDQ883522

Liliana Gratie, Ming Shen, Christinel Mardare, Philippe G. Ciarlet

Publication date: 4 June 2007

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2007.03.019


zbMATH Keywords

three-dimensional elasticitycompatibility conditionsSaint-Venant equations


Mathematics Subject Classification ID

Classical linear elasticity (74B05) Kinematics of deformation (74A05) Surfaces in Euclidean and related spaces (53A05)





Cites Work

  • On rigid and infinitesimal rigid displacements in shell theory.
  • On Pfaff systems with \(L^p\) coefficients and their applications in differential geometry
  • SAINT VENANT COMPATIBILITY EQUATIONS ON A SURFACE APPLICATION TO INTRINSIC SHELL THEORY
  • ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY
  • A NEW APPROACH TO LINEAR SHELL THEORY




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