Civil engineering applications of the asymptotic expansion load decomposition beam model: an overview
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Publication:6059914
DOI10.1007/s00161-021-01027-xzbMath1523.74068OpenAlexW3168231062MaRDI QIDQ6059914
A. Lebée, Karam Sab, G. Corre, X. Cespedes, Mohammed-Khalil Ferradi
Publication date: 2 November 2023
Published in: Continuum Mechanics and Thermodynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00161-021-01027-x
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)
Cites Work
- Unnamed Item
- Unnamed Item
- GBT pre-buckling and buckling analyses of thin-walled members under axial and transverse loads
- Justification of the asymptotic expansion method for homogeneous isotropic beams by comparison with de Saint-Venant's solutions
- Using multifiber beams to account for shear and torsion: applications to concrete structural elements
- On the characterizations of matrix fields as linearized strain tensor fields
- Non-homogeneous media and vibration theory
- Finite element analysis of two- and three-dimensional elasto-plastic frames - The natural approach
- Saint-Venant's problem for inhomogeneous and anisotropic elastic bodies
- Nonuniform transformation field analysis
- Another approach to linearized elasticity and Korn's inequality
- A computationally efficient method for the limit elasto-plastic analysis of space frames
- Hierarchic models for laminated plates and shells
- Rigid plastic analysis of plane frame structures
- Reduced basis hybrid computational homogenization based on a mixed incremental formulation
- Computational analysis of nonlinear composite structures using the nonuniform transformation field analysis
- An unconstrained dynamic approach for the generalised beam theory
- The Quadratic Eigenvalue Problem
- Beam Structures
- On a Dimensional Reduction Method I. The Optimal Selection of Basis Functions
- On a Dimensional Reduction Method II. Some Approximation-Theoretic Results
- A Galerkin spectral approximation in linearized beam theory
- Higher-order effective modeling of periodic heterogeneous beams. I: Asymptotic expansion method. II: Derivation of the proper boundary conditions for the interior asymptotic solution
- Higher‐order beam model with eigenstrains: theory and illustrations
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