Energetic finite differences with arbitrary meshes applied to plate-bending problems

DOI10.1016/S0307-904X(97)00099-1zbMath0898.73073MaRDI QIDQ1384379

L. F. T. Garcia, L. M. Fielding, S. F. Villaca

Publication date: 13 April 1998

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

lateral loadingLagrange polynomial interpolationstatic linear analysis of thin plates

Mathematics Subject Classification ID

Plates (74K20) Finite difference methods applied to problems in solid mechanics (74S20)

Related Items (2)

A weak form quadrature element method for plane elasticity problems ⋮ Variational finite difference methods in linear and nonlinear problems of the deformation of metallic and composite shells (review)

Cites Work

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• Parametric instability of rectangular plates by the energy based finite difference method
• Construction of curvilinear co-ordinate systems and applications to mesh generation
• Isoparametric finite difference energy method for plate bending problems
• Validation of finite difference boundary condition models for solid mechanics applications
• Flexible finite-difference stencils from isoparametric finite elements
• Improved finite difference method for equilibrium problems based on differentiation of the partial differential equations and the boundary conditions

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