A weak form quadrature element method for plane elasticity problems
From MaRDI portal
Publication:965539
DOI10.1016/j.apm.2008.12.007zbMath1205.74172OpenAlexW2094360884MaRDI QIDQ965539
Publication date: 24 April 2010
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2008.12.007
variational principlevolumetric lockingdifferential quadraturequadrature element method\(p\)-version finite element
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (23)
Weak form quadrature elements based on absolute nodal coordinate formulation for planar beamlike structures ⋮ A differential quadrature hierarchical finite element method using Fekete points for triangles and tetrahedrons and its applications to structural vibration ⋮ A weak form quadrature element formulation of geometrically exact shells incorporating drilling degrees of freedom ⋮ Stabilized plane and axisymmetric Lobatto finite element models ⋮ Weak form quadrature element analysis of planar slender beams based on geometrically exact beam theory ⋮ Weak form quadrature solution of 2mth-order Fredholm integro-differential equations ⋮ A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation ⋮ Comparisons of methods for solving static deflections of a thin annular plate ⋮ A weak form quadrature element formulation of geometrically exact beams with strain gradient elasticity ⋮ Differential quadrature parallel algorithms for solving systems of convection-diffusion and reaction models ⋮ Static and vibrational analysis of partially composite beams using the weak-form quadrature element method ⋮ Buckling analysis of shear deformable plates using the quadrature element method ⋮ A strong formulation finite element method (SFEM) based on RBF and GDQ techniques for the static and dynamic analyses of laminated plates of arbitrary shape ⋮ A novel weak form quadrature element for gradient elastic beam theories ⋮ A Galerkin time quadrature element formulation for linear structural dynamics ⋮ An energy-momentum conserving scheme for geometrically exact shells with drilling DOFs ⋮ Weak form quadrature element analysis of Bickford beams ⋮ A note on mathematical treatment of the Dirac-delta function in the differential quadrature bending and forced vibration analysis of beams and rectangular plates subjected to concentrated loads ⋮ Upper bound limit analysis using the weak form quadrature element method ⋮ 3D free vibration analysis of multi-directional FGM parallelepipeds using the quadrature element method ⋮ Free vibration analysis of dowelled rectangular isotropic thin plate on a modified Vlasov soil type by using discrete singular convolution method ⋮ BUCKLING ANALYSIS OF PLANAR FRAMEWORKS USING THE QUADRATURE ELEMENT METHOD ⋮ The application of the geometric offset method to the rigid joint modeling in the differential quadrature element model updating of frame structures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solution of Poisson and Laplace equations by quadrilateral quadrature element
- Static analysis of structures by the quadrature element method (QEM)
- Energetic finite differences with arbitrary meshes applied to plate-bending problems
- High-accuracy plane stress and plate elements in the quadrature element method
- Differential quadrature and longterm integration
- Generalized conforming quadrilateral membrane element with vertex rigid rotational freedom
- FREE VIBRATION OF PLATES BY THE HIGH ACCURACY QUADRATURE ELEMENT METHOD
- Isoparametric finite difference energy method for plate bending problems
- An automated, energy-based, finite-difference procedure for the elastic collapse of rectangular plates and panels
- A finite difference variational method for bending of plates
- Static and free vibrational analysis of rectangular plates by the differential quadrature element method
- The use of ADINA for analysis of mines with explosive fills
- A note on incorporation of domain decomposition into the differential quadrature method
- Numerical Solution of Plane Elasticity Problems
- Triangular differential quadrature and its application to elastostatic analysis of Reissner plates
This page was built for publication: A weak form quadrature element method for plane elasticity problems
