Analytical trial function method for development of new 8‐node plane element based on the variational principle containing Airy stress function
From MaRDI portal
Publication:4908094
DOI10.1108/02644401011044568zbMath1257.74149OpenAlexW2030180332MaRDI QIDQ4908094
Xiang-Rong Fu, Chen-Feng Li, Song Cen, Xiao-Ming Chen
Publication date: 27 February 2013
Published in: Engineering Computations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1108/02644401011044568
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Energy minimization in equilibrium problems in solid mechanics (74G65)
Related Items (22)
Characteristic equation solution strategy for deriving fundamental analytical solutions of 3D isotropic elasticity ⋮ A shape-free 8-node plane element unsymmetric analytical trial function method ⋮ An effective membrane element based on analytical solution ⋮ Polynomial stress functions of anisotropic plane problems and their applications in hybrid finite elements ⋮ New formulation of quasi-conforming method: a simple membrane element for analysis of planar problems ⋮ A Degenerated Plane Truss Model of Base Force Element Method on Complementary Energy Principle ⋮ A conforming triangular plane element with rotational degrees of freedom ⋮ A novel shape-free plane quadratic polygonal hybrid stress-function element ⋮ Accurate element of compressive bar considering the effect of displacement ⋮ Hybrid displacement function element method: a simple hybrid-Trefftz stress element method for analysis of Mindlin-Reissner plate ⋮ Distortion-immune nine-node displacement-based quadrilateral thick plate finite elements that satisfy constant-bending patch test ⋮ An effective hybrid displacement function element method for solving the edge effect of Mindlin-Reissner plate ⋮ New nonconforming finite elements on arbitrary convex quadrilateral meshes ⋮ Unnamed Item ⋮ Quasi-Static Crack Propagation Modeling Using Shape-Free Hybrid Stress-Function Elements with Drilling Degrees of Freedom ⋮ A quasi-static crack propagation simulation based on shape-free hybrid stress-function finite elements with simple remeshing ⋮ Shape-free finite element method: another way between mesh and mesh-free methods ⋮ A two-dimensional base force element method using concave polygonal mesh ⋮ A brief review on polygonal/polyhedral finite element methods ⋮ 8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes ⋮ 8-node quasi-conforming plane element by using Bernstein basis functions ⋮ A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures
Cites Work
- Unnamed Item
- Unnamed Item
- Quadrilateral membrane element family formulated by the quadrilateral area coordinate method
- Development of eight-node quadrilateral membrane elements using the area coordinate method
- Modification of the 8-node serendipity element
- A new 8-node quadrilateral spline finite element
- Effects of element distortions on the performance of isoparametric elements
- A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field
- Remedies to rotational frame dependence and interpolation failure of US‐QUAD8 element
This page was built for publication: Analytical trial function method for development of new 8‐node plane element based on the variational principle containing Airy stress function
