Extensibility effects on Euler elastica's stability
From MaRDI portal
Publication:2377185
DOI10.1007/s10659-012-9407-0zbMath1267.74047OpenAlexW2003751813MaRDI QIDQ2377185
Publication date: 28 June 2013
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-012-9407-0
Related Items
An improved proof of instability of some Euler elasticas ⋮ A catalogue of stable equilibria of planar extensible or inextensible elastic rods for all possible Dirichlet boundary conditions ⋮ Stability to discontinuous perturbations for one inflexion Euler elasticas with one end fixed and the other clamped in rotation ⋮ Large deformation analysis of a plane curved beam using Jacobi elliptic functions
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of inflectional elasticae centered at vertices or inflection points
- Maxwell strata in the Euler elastic problem
- Conjugate points in the Euler elastic problem
- Stability of nonlinearly elastic rods
- Post-buckling analysis of slender elastic rods subjected to terminal forces
- Stability analysis of planar equilibrium configurations of elastic rods subjected to end loads
- Post-buckling of a clamped-simply supported elastica
- A further study on the postbuckling of extensible elastic rods
- Euler buckling in a potential field
- On stability analyses of three classical buckling problems for the elastic strut
- Sufficient conditions for stability of Euler elasticas
- Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends
- Secondary buckling of an elastic column with a central elastic support
- Fitzpatrick Functions and Continuous Linear Monotone Operators
- An Extended Conjugate Point Theory with Application to the Stability of Planar Buckling of an Elastic Rod Subject to a Repulsive Self-Potential
- Conjugate Points Revisited and Neumann–Neumann Problems
- Isoperimetric conjugate points with application to the stability of DNA minicircles
- A Collocation Method for the Integration of Prandtl's Equation
- Nonlinear problems of elasticity
