The flip side of buckling
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Publication:1018458
DOI10.1007/s00161-007-0044-yzbMath1160.74360OpenAlexW2140687447MaRDI QIDQ1018458
Yury Grabovsky, L. M. Truskinovskij
Publication date: 20 May 2009
Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00161-007-0044-y
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Stability of slender bodies under compression and validity of the von Kármán theory, From non linear elasticity to linear elasticity with initial stress via \(\Gamma\)-convergence, Gaussian curvature as an identifier of shell rigidity, Marginal material stability, A class of nonlinear elasticity problems with no local but many global minimizers, Beyond the classical Cauchy-Born rule, Korn inequalities for shells with zero Gaussian curvature, Rigidity of a thin domain depends on the curvature, width, and boundary conditions, Sharp weighted Korn and Korn-like inequalities and an application to washers, New asymptotically sharp Korn and Korn-like inequalities in thin domains, Buckling of residually stressed plates: An asymptotic approach, On the Korn Interpolation and Second Inequalities in Thin Domains, Scaling instability in buckling of axially compressed cylindrical shells, Modeling the behavior of heat-shrinkable thin films, Asymptotic expansions by \(\Gamma \)-convergence, Weighted asymptotic Korn and interpolation Korn inequalities with singular weights, On bifurcation in finite elasticity: Buckling of a rectangular rod, A hint on the localization of the buckling deformation at vanishing curvature points on thin elliptic shells, The buckling load of cylindrical shells under axial compression depends on the cross-sectional curvature, On Korn’s constant for thin cylindrical domains, Rigorous derivation of the formula for the buckling load in axially compressed circular cylindrical shells
Cites Work
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- On uniqueness and stability in the theory of finite elastic strain
- Stability of slender bodies under compression and validity of the von Kármán theory
- Variational principles of continuum mechanics. II: Applications
- On bifurcation in finite elasticity: Buckling of a rectangular rod
- On the positivity of the second variation in finite elasticity
- Small bending of a circular bar superposed on finite extension or compression
- The role of Fredholm conditions in Signorini's perturbation method
- Lower bounds for the critical loads of elastic bodies
- A justification of a nonlinear model in plate theory
- On the peculiarities of the loss of stability of a nonlinear elastic rectangular bar
- On the justification of the nonlinear inextensional plate model
- Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method
- Global bifurcation in nonlinear elasticity with an application to barrelling states of cylindrical columns
- A new quasilinear model for plate buckling
- Symmetry and bifurcation in three-dimensional elasticity. I
- A nonlinear model for inextensible rods as a low energy \(\varGamma\)-limit of three-dimensional nonlinear elasticity
- Nonlinear stability analysis of pre-stressed elastic bodies.
- Asymptotic analysis of stability for prismatic solids under axial loads
- Estimation of critical loads in elastic stability theory
- A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
- Stability of a compressed neo-Hookean rectangular parallelepiped
- Une justification partielle du modèle de plaque en flexion par -convergence
- General theory of elastic stability
- Two-Sided Estimates for Local Minimizers in Compressible Elasticity
- Buckling and barrelling instabilities on non-linearly elastic columns
- On the elasticity and stability of perfect crystals at finite strain
- Korn's Constant for a Parallelepiped with a Free Face or Pair of Faces
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- Korn’s Inequalities and Their Applications in Continuum Mechanics
