Rotationally invariant distortion resistant finite-elements

DOI10.1016/j.cma.2014.02.016zbMath1296.74107OpenAlexW2042637570MaRDI QIDQ459345

William M. Coombs, Tim Cowan

Publication date: 8 October 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://dro.dur.ac.uk/12387/1/12387.pdf

zbMATH Keywords

elasto-plasticityshape functionsmesh distortionfinite-elementsgeometric non-linearity

Mathematics Subject Classification ID

Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) 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 (2)

An unsymmetric 4-node, 8-DOF plane membrane element perfectly breaking through MacNeal's theorem ⋮ 8-node unsymmetric distortion-immune element based on Airy stress solutions for plane orthotropic problems

Cites Work

• Unnamed Item
• A technique to develop mesh-distortion immune finite elements
• 8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes
• Insight into a model for large strain anisotropic elasto-plasticity
• A smoothed finite element method for mechanics problems
• Design of simple low order finite elements for large strain analysis of nearly incompressible solids
• On numerically accurate finite element solutions in the fully plastic range
• A quadratic plane triangular element immune to quadratic mesh distortions under quadratic displacement fields
• A shape-free 8-node plane element unsymmetric analytical trial function method
• 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
• Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes
• Finite element formulations for large deformation dynamic analysis
• A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field
• A class of mixed assumed strain methods and the method of incompatible modes
• Remedies to rotational frame dependence and interpolation failure of US‐QUAD8 element
• A 20‐node hexahedron element with enhanced distortion tolerance

This page was built for publication: Rotationally invariant distortion resistant finite-elements