The reference coordinates and disortion measures for quadrilateral hybrid stress membrane element

DOI10.1007/BF00350284zbMath0807.73069OpenAlexW1982445109MaRDI QIDQ1339718

K.-Y. Yuan, Theodore Hsueh-huang Pian

Publication date: 6 December 1994

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00350284

zbMATH Keywords

Jacobiandifferential geometryisoparametric transformationgeodesic coordinate system

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

The invertibility of the isoparametric mappings for triangular quadratic Lagrange finite elements., Unnamed Item, On the nested refinement of quadrilateral and hexahedral finite elements and the affine approximation, Reduction of excessive energy in the four-noded membrane quadrilateral element. I: Linear theory -- compressible materials, On application of differential geometry to computational mechanics

Cites Work

• On the invertibility of the isoparametric map
• An inverse transformation for quadrilateral isoparameteric elements: Analysis and application
• Numerical inverse isoparametric mapping in remeshing and nodal quantity contouring
• Numerical inverse isoparametric mapping in 3D FEM
• Inverse mapping and distortion measures for quadrilaterals with curved boundaries