Another approach to linearized elasticity and Korn's inequality

DOI10.1016/j.crma.2004.06.021zbMath1063.74009OpenAlexW2065149407MaRDI QIDQ1887029

Philippe G. Ciarlet, Patrick~jun. Ciarlet

Publication date: 23 November 2004

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.2004.06.021

zbMATH Keywords

minimizationlinearized strain tensorSt.-Venant compatibility conditions

Mathematics Subject Classification ID

Equations linearized about a deformed state (small deformations superposed on large) (74B15) Bounds for solutions of equilibrium problems in solid mechanics (74G45)

Related Items

Another approach to linearized elasticity and Korn's inequality, Civil engineering applications of the asymptotic expansion load decomposition beam model: an overview, Higher‐order beam model with eigenstrains: theory and illustrations, On Poincaré's and J. L. Lions' lemmas, Generalized Korn's inequality and conformal Killing vectors, ANOTHER APPROACH TO LINEARIZED ELASTICITY AND A NEW PROOF OF KORN'S INEQUALITY, Shape metrics based on elastic deformations, Homogenization of a system of elastic and reaction-diffusion equations modelling plant cell wall biomechanics, The gap between linear elasticity and the variational limit of finite elasticity in pure traction problems

Cites Work

• Ordinary differential equations of non-linear elasticity. I: Foundations of the theories of non-linearly elastic rods and shells
• Continuity of a deformation as a function of its Cauchy-Green tensor
• An estimate of the \(H^1\)-norm of deformations in terms of the \(L^1\)-norm of their Cauchy-Green tensors
• Another approach to linearized elasticity and Korn's inequality
• Recovery of a manifold with boundary and its continuity as a function of its metric tensor
• ON RIGID AND INFINITESIMAL RIGID DISPLACEMENTS IN THREE-DIMENSIONAL ELASTICITY
• Finite Element Methods for Navier-Stokes Equations
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item