Curved beam elasticity theory based on the displacement function method using a finite difference scheme

DOI10.1186/S13662-019-2083-7zbMath1459.74171OpenAlexW2946553426WikidataQ128041237 ScholiaQ128041237MaRDI QIDQ1739859

Wankui Bu, Hui Xu

Publication date: 29 April 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2083-7

zbMATH Keywords

finite difference methoddisplacement functioncurved rockelastic theory of curved beam

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite difference methods applied to problems in solid mechanics (74S20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• A node-centered local refinement algorithm for Poisson's equation in complex geometries
• A supra-convergent finite difference scheme for the variable coefficient Poisson equation on non-graded grids
• Experiments with a local adaptive grid \(h\)-refinement for the finite-difference solution of BVPs in singularly perturbed second-order ODEs
• A stencil adaptive algorithm for finite difference solution of incompressible viscous flows
• Generalized mathematical model for the solution of mixed-boundary-value elastic problems
• Axisymmetric finite element analysis for pure moment loading of curved beams and pipe bends
• A 3D cylindrical finite element model for thick curved beam stress analysis
• The curved beam/deep arch/finite ring element revisited
• A new approach to boundary modelling for finite difference applications in solid mechanics
• Unnamed Item

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