High-performance geometric nonlinear analysis with the unsymmetric 4-node, 8-DOF plane element US-ATFQ4
From MaRDI portal
Publication:6569286
DOI10.1002/NME.5771zbMATH Open1548.74845MaRDI QIDQ6569286
Song Cen, Chengjin Wu, Yan Shang, Chen-Feng Li, Zhi Li
Publication date: 8 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
finite elementmesh distortiongeometric nonlinear analysisanalytical trial functionUL formulationunsymmetric 4-node plane element
Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Rotationally invariant distortion resistant finite-elements
- A unified formulation of small-strain corotational finite elements. I: Theory
- Quadrilateral membrane element family formulated by the quadrilateral area coordinate method
- Computational inelasticity
- A non linear corotational 4-node plane element
- A low-order locking-free hybrid discontinuous Galerkin element formulation for large deformations
- A hybrid-stress element based on Hamilton principle
- A shape-free 8-node plane element unsymmetric analytical trial function method
- An unsymmetric 4-node, 8-DOF plane membrane element perfectly breaking through MacNeal's theorem
- A theorem regarding the locking of tapered four-noded membrane elements
- Rational approach for assumed stress finite elements
- A partition of unity-based ‘FE-Meshfree’ QUAD4 element for geometric non-linear analysis
- A new quadrilateral area coordinate method (QACM-II) for developing quadrilateral finite element models
- Quadrilateral membrane elements with analytical element stiffness matrices formulated by the new quadrilateral area coordinate method (QACM-II)
- Consistency condition and convergence criteria of incompatible elements: General formulation of incompatible functions and its application
- Finite rotation effects in numerical integration of rate constitutive equations arising in large-deformation analysis
- On the limits of finite element perfectability
- A non-conforming element for stress analysis
- A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems
- Incremental kinematics for finite element applications
- New stress assumption for hybrid stress elements and refined four-node plane and eight-node brick elements
- A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field
- Hybrid and Incompatible Finite Element Methods
- A quadrilateral mixed finite element with two enhanced strain modes
- On immunizing five-beta hybrid-stress element models from ?trapezoidal locking? in practical analyses
- A class of mixed assumed strain methods and the method of incompatible modes
- The analytical element stiffness matrix of a recent 4‐node membrane element formulated by the quadrilateral area co‐ordinate method
- Fast and accurate 4‐node quadrilateral
- An unsymmetric 8-node hexahedral element with high distortion tolerance
Related Items (9)
An unsymmetric 8-node hexahedral solid-shell element with high distortion tolerance: geometric nonlinear formulations ⋮ An incompatible and unsymmetric four-node quadrilateral plane element with high numerical performance ⋮ Hyperelastic finite deformation analysis with the unsymmetric finite element method containing homogeneous solutions of linear elasticity ⋮ Mesh distortion insensitive and locking-free Petrov-Galerkin low-order EAS elements for linear elasticity ⋮ An unsymmetric 8-node plane element immune to mesh distortion for linear isotropic hardening material ⋮ A simple unsymmetric 4-node 12-DOF membrane element for the modified couple stress theory ⋮ Finite difference technique for the evaluation of the transverse displacements in force-based beam finite elements ⋮ An unsymmetric 8-node hexahedral solid-shell element with high distortion tolerance: linear formulations ⋮ An ANS/ATFs-based unsymmetric solid-shell finite element algorithm for high-quality finite deformation analysis of hyper-elastic shell
This page was built for publication: High-performance geometric nonlinear analysis with the unsymmetric 4-node, 8-DOF plane element US-ATFQ4
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6569286)
