Eigenvalue problems associated with Korn's inequalities

DOI10.1007/BF00251798zbMath0223.73011OpenAlexW2061040576MaRDI QIDQ2548182

Cornelius O. Horgan, James K. Knowles

Publication date: 1971

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00251798

Mathematics Subject Classification ID

Dynamical problems in solid mechanics (74H99) Elastic materials (74B99)

Related Items

Korn's Constant for a Parallelepiped with a Free Face or Pair of Faces, Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: analytical estimates, A new Korn's type inequality for thin domains and its application to iterative methods, On inequalities of Friedrichs and Babuška-Aziz, Optimal Korn's inequality for solenoidal vector fields on a periodic slab, Towards integral inequalities of surface deformation in two-dimensional linear elasticity, Extended Korn's inequalities and the associated best possible constants, Optimal Korn's inequalities for divergence-free vector fields with application to incompressible linear elastodynamics, Inequalities of Korn and Friedrichs in elasticity and potential theory, On the proof of the Saint-Venant principle for bodies of arbitrary shape, Eigenvalue estimates and the trace theorem, Analysis of a new augmented mixed finite element method for linear elasticity allowing $\mathbb{RT}_0$-$\mathbb{P}_1$-$\mathbb{P}_0$ approximations, Computable constants for Korn's inequalities on Riemannian manifolds, On inequalities of Korn, Friedrichs and Babuska-Aziz

Cites Work

• Korn inequalities for the sphere and circle
• On the first boundary-value problem of linear elastostatics
• Linear elliptic differential systems and eigenvalue problems
• Some remarks on Korn's inequality
• On inequalities of Korn's type. I: Boundary-value problems for elliptic systems of partial differential equations
• On inequalities of Korn's type. II: Applications to linear elasticity
• Saint-Venant's principle
• On the boundary-value problems of the theory of elasticity and Korn's inequality
• On the Dirichlet Problem for Linear Differential Equations
• On Korn's inequality
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