A static analysis of three-dimensional functionally graded beams by hierarchical modelling and a collocation meshless solution method

DOI10.1007/s00707-015-1503-3zbMath1382.74075OpenAlexW2194568998MaRDI QIDQ293682

Gaetano Giunta, A. J. M. Ferreira, Salim Belouettar

Publication date: 9 June 2016

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-015-1503-3

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Spectral and related methods applied to problems in solid mechanics (74S25)

Related Items (3)

Free vibration analysis of fibre-metal laminated beams via hierarchical one-dimensional models ⋮ The meshless finite point method for transient elastodynamic problems ⋮ Vibration of bi-dimensional functionally graded Timoshenko beams excited by a moving load

Cites Work

• Unnamed Item
• Unnamed Item
• Free vibration analysis of functionally graded shells by a higher-order shear deformation theory and radial basis functions collocation, accounting for through-the-thickness deformations
• Bending of FGM plates by a sinusoidal plate formulation and collocation with radial basis functions
• Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
• Adaptive meshless centres and RBF stencils for Poisson equation
• Hierarchical models for failure analysis of plates bent by distributed and localized transverse loadings
• Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates
• A new beam finite element for the analysis of functionally graded materials.
• Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
• Newton iteration with multiquadrics for the solution of nonlinear PDEs
• Interpolation and approximation by polynomials
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• On unsymmetric collocation by radial basis functions
• Theories and finite elements for multilayered plates and shells: a unified compact formulation with numerical assessment and benchmarking
• Analysis of nano-plates by atomistic-refined models accounting for surface free energy effect
• Beam Structures
• Numerical experiments on optimal shape parameters for radial basis functions
• A point interpolation meshless method based on radial basis functions
• The Shear Coefficient in Timoshenko’s Beam Theory
• Meshfree Methods

This page was built for publication: A static analysis of three-dimensional functionally graded beams by hierarchical modelling and a collocation meshless solution method