An unsymmetric 8-node hexahedral element with high distortion tolerance
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Publication:6565233
DOI10.1002/nme.5318zbMATH Open1548.65349MaRDI QIDQ6565233
Pei-Lei Zhou, Chen-Feng Li, Junbin Huang, Q. Zhang, Song Cen
Publication date: 1 July 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
finite elementmesh distortionanalytical trial functionoblique coordinates8-node hexahedral elementunsymmetric element
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Cites Work
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- 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
- Several treatments on nonconforming element failed in the strict patch test
- A technique to develop mesh-distortion immune finite elements
- On convergence of nonconforming convex quadrilateral finite elements AGQ6
- 8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes
- Quadrilateral membrane element family formulated by the quadrilateral area coordinate method
- Hourglass control in linear and nonlinear problems
- New improved hourglass control for bilinear and trilinear elements in anisotropic linear elasticity
- Mixed finite element methods - reduced and selective integration techniques: a unification of concepts
- The inverse mapping and distortion measures for 8-node hexahedral isoparametric elements
- A novel shape-free plane quadratic polygonal hybrid stress-function element
- Assumed strain stabilization of the eight node hexahedral element
- A quadratic plane triangular element immune to quadratic mesh distortions under quadratic displacement fields
- Making sense of the quadrilateral area coordinate membrane elements
- Hexahedral volume coordinate method (HVCM) and improvements on 3D Wilson hexahedral element
- 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
- Extension of unsymmetric finite elements US‐QUAD8 and US‐HEXA20 for geometric nonlinear analyses
- Mesh-distortion immunity assessment of QUAD8 elements by strong-form patch tests
- Accurate eight-node hexahedral element
- 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)
- On the Variational Foundations of Assumed Strain Methods
- Isoparametric hybrid hexahedral elements for three dimensional stress analysis
- Generalization of selective integration procedures to anisotropic and nonlinear media
- A uniform strain hexahedron and quadrilateral with orthogonal hourglass control
- On the limits of finite element perfectability
- A non-conforming element for stress analysis
- 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
- A 3D brick element based on Hu-Washizu variational principle for mesh distortion
- A class of mixed assumed strain methods and the method of incompatible modes
- New strategy for assumed stresses for 4‐node hybrid stress membrane element
- Remedies to rotational frame dependence and interpolation failure of US‐QUAD8 element
- A 20‐node hexahedron element with enhanced distortion tolerance
- The analytical element stiffness matrix of a recent 4‐node membrane element formulated by the quadrilateral area co‐ordinate method
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