A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions
From MaRDI portal
Publication:5283136
DOI10.1002/nme.5430zbMath1367.65165OpenAlexW2542920682MaRDI QIDQ5283136
Publication date: 19 July 2017
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.5430
incompressibledrilling rotationenhanced assumed strainmodified shape functionsin-plane rotational DOFmembrane finite element
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Stress (74A10)
Related Items
Review of the strain-based formulation for analysis of plane structures Part I: Formulation of basics and the existing elements, A simple and robust quadrilateral non-conforming element with a special 5-point quadrature, Free-vibration response of functionally graded porous shell structures in thermal environments with temperature-dependent material properties
Cites Work
- An effective membrane element based on analytical solution
- On drilling degrees of freedom
- 8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes
- A triangular membrane element with rotational degrees of freedom
- Formulations of finite elasticity with independent rotations
- Formulation of a membrane finite element with drilling degrees of freedom
- A drill rotation formulation for geometrically exact shells
- Mixed finite element with drilling rotations for plane problems in finite elasticity
- Four-noded mixed finite elements, using unsymmetric stresses, for linear analysis of membranes
- Modification of the 8-node serendipity element
- Enhanced Allman quadrilateral for finite drilling rotations
- A hybrid Trefftz plane elasticity element with drilling degrees of freedom
- A novel membrane finite element with an enhanced displacement interpolation
- An efficient 4‐node 24 D.O.F. thick shell finite element with 5‐point quadrature
- Patch-averaged assumed strain finite elements for stress analysis
- A New, Efficient 8-Node Serendipity Element with Explicit and Assumed Strains Formulations
- A unified formulation for triangular and quadrilateral flat shell finite elements with six nodal degrees of freedom
- A modified method of incompatible modes
- A compatible triangular element including vertex rotations for plane elasticity analysis
- A robust quadrilateral membrane finite element with drilling degrees of freedom
- Planar four node piezoelectric elements with drilling degrees of freedom
- Eight-node membrane element with drilling degrees of freedom for analysis of in-plane stiffness of thick floor plates
- A refined four-noded membrane element with rotational degrees of freedom
- A quadrilateral finite element including vertex rotations for plane elasticity analysis
- An efficient quadrilateral plane element with drilling degrees of freedom using orthogonal stress modes
- Direct formulation of a hybrid 4-node shell element with drilling degrees of freedom
- Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
- Modified formulations for nine-d.o.f. plane triangles that include vertex rotations
- A 24 d.o.f. four‐node flat shell finite element for general unsymmetric orthotropic layered composites
- Effects of element distortions on the performance of isoparametric elements
- Geometrically non‐linear method of incompatible modes in application to finite elasticity with independent rotations
- Explicit expressions of shape functions for the modified 8‐node serendipity element
- New stress assumption for hybrid stress elements and refined four-node plane and eight-node brick elements
- A 4-node assumed strain quasi-conforming shell element with 6 degrees of freedom
- A plane hybrid element with rotational d.o.f. and adjustable stiffness
- A quadrilateral mixed finite element with two enhanced strain modes
- A class of mixed assumed strain methods and the method of incompatible modes
- Further development of a three‐node triangular shell element
