Semi-analytical integration of the elastic stiffness matrix of an axisymmetric eight-noded finite element

DOI10.1002/NUM.20512zbMath1426.74297OpenAlexW2148397107MaRDI QIDQ3055981

I. J. Lozada, D. V. Griffiths, Miguel Cerrolaza

Publication date: 10 November 2010

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20512

zbMATH Keywords

stiffness matrixsymbolic manipulationsemi-analytical integrationaxisymmetric quadrilateral finite elements

Mathematics Subject Classification ID

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

Uses Software

• Unnamed Item
• Unnamed Item

Cites Work

• Application of the symbolic mathematics system to the finite element program. Evaluation of the stiffness matrix of a 4-nodes isoparametric element
• Some integration formulas for a four-node isoparametric element
• Analytical integral formulae related to convex quadrilateral finite elements
• Analytical integration formulae for linear isoparametric finite elements
• Some analytical integration formulae for a four node isoparametric element
• Stiffness matrix of the four‐node quadrilateral element in closed form
• Explicit integration of the stiffness matrix of a four-noded-plane-elasticity finite element

This page was built for publication: Semi-analytical integration of the elastic stiffness matrix of an axisymmetric eight-noded finite element