On the accuracy of polynomial finite elements for crack problems
- 1 December 1981
- journal article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 17 (12) , 1835-1842
- https://doi.org/10.1002/nme.1620171208
Abstract
A square tensile sheet with symmetric edge cracks is analysed by the finite element method to demonstrate the accuracy obtained with polynomial elements when the mesh patterns are chosen on the basis of the element's interpolation functions. Numerical results are provided for the accuracy of the total strain energy, the stress intensity factor, and the numerical condition of the global stiffness matrix. The stress intensity factor is determined to within 1.0 per cent accuracy using quadratic (linear strain) triangular elements with only 138 degrees‐of‐freedom.Keywords
This publication has 7 references indexed in Scilit:
- Reconsiderations on singularity or crack tip elementsInternational Journal for Numerical Methods in Engineering, 1979
- Analysis of power type singularities using finite elementsInternational Journal for Numerical Methods in Engineering, 1977
- Bounds on the spectral and maximum norms of the finite element stiffness, flexibility and mass matricesInternational Journal of Solids and Structures, 1973
- On the convergence of the finite element method for problems with singularityInternational Journal of Solids and Structures, 1973
- A hybrid‐element approach to crack problems in plane elasticityInternational Journal for Numerical Methods in Engineering, 1973
- Rectangular Tensile Sheet With Symmetric Edge CracksJournal of Applied Mechanics, 1964
- Solution of systems of linear equations by minimized iterationsJournal of Research of the National Bureau of Standards, 1952