Mixed finite element methods for the circular arch problem

DOI10.1016/0045-7825(92)90110-6zbMath0763.73056OpenAlexW2000499136MaRDI QIDQ1203358

M. B. Volpi, Reddy, B. Daya

Publication date: 7 February 1993

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(92)90110-6

zbMATH Keywords

convergenceexistenceuniquenessboundary-value problemselective reduced integrationlinear elastic circular archesTimoshenko- Mindlin-Reissner assumptions

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

Mixed finite element methods for elastic rods of arbitrary geometry ⋮ Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems ⋮ Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ New shape functions for non-uniform curved Timoshenko beams with arbitrarily varying curvature using basic displacement functions ⋮ An improved isogeometric collocation formulation for spatial multi-patch shear-deformable beams with arbitrary initial curvature ⋮ Invariant Hermitian finite elements for thin Kirchhoff rods. I: The linear plane case ⋮ Numerical exponential decay to dissipative Bresse system ⋮ Stability and convergence of mixed methods for elastic rods of arbitrary geometry ⋮ Development of a new curved beam element with shear effect ⋮ A finite circular arch element based on trigonometric shape functions ⋮ Analysis of a least squares finite element method for the circular arch problem. ⋮ Free vibrations of shear‐flexible and compressible arches by FEM ⋮ Exact solutions for extensible circular curved Timoshenko beams with nonhomogeneous elastic boundary conditions

Cites Work

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• Stability, convergence, and accuracy of a new finite element method for the circular arch problem
• Convergence of mixed finite element approximation for the shallow arch problem
• Discretization by finite elements of a model parameter dependent problem
• Accuracy of some finite element models for arch problems
• Shear and membrane locking in curved \(C^ 0\) elements
• Reduced integration technique in general analysis of plates and shells