The theory of thin-walled rods of open profile as a result of asymptotic splitting in the problem of deformation of a noncircular cylindrical shell
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Publication:849264
DOI10.1007/S10659-009-9222-4zbMath1308.74086OpenAlexW2016979267MaRDI QIDQ849264
Publication date: 25 February 2010
Published in: Journal of Elasticity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10659-009-9222-4
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Shells (74K25)
Related Items (6)
Hybrid asymptotic-direct approach to the problem of finite vibrations of a curved layered strip ⋮ Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates ⋮ A Non-linear Theory of Thin-Walled Rods of Open Profile Deduced with Incremental Shell Equations ⋮ Hybrid asymptotic-direct approach to finite deformations of electromechanically coupled piezoelectric shells ⋮ Validation of Bredt's formulas for beams with hollow cross sections by the method of asymptotic splitting for pure torsion and their extension to shear force bending ⋮ A rod model for large bending and torsion of an elastic strip with a geometrical imperfection
Cites Work
- A geometrically-exact rod model incorporating shear and torsion-warping deformation
- Finite deformation of thin shells in the context of analytical mechanics of material surfaces
- Thin-walled beams: A derivation of Vlassov theory via \(\Gamma\)-convergence
- Direct approach to elastic deformations and stability of thin-walled rods of open profile
- An asymptotic approach to the torsion problem in thin walled beams
- The solution of Saint-Venant's problem in the theory of Cosserat shells
- Determination of the midsurface of a deformed shell from prescribed fields of surface strains and bendings
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