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On the numerical integration of interface elements
Author(s) -
Schellekens J. C. J.,
De Borst R.
Publication year - 1993
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620360104
Subject(s) - quadratic equation , interface (matter) , coupling (piping) , element (criminal law) , finite element method , scheme (mathematics) , numerical integration , mathematics , node (physics) , plane (geometry) , gauss , stiffness , mathematical analysis , geometry , structural engineering , engineering , mechanics , physics , mechanical engineering , bubble , quantum mechanics , maximum bubble pressure method , political science , law
Eigenmode analyses of the element stiffness matrices have been used to assess the impact of the applied integration scheme on the stress predictions of two‐ and three‐dimensional plane interface elements. It is demonstrated that large stress gradients over the element and coupling of the individual node‐sets of the interface element may result in an oscillatory type of response. For line elements and linear plane interface elements the performance can be improved by using either a nodal lumping scheme or Newton‐Cotes or Lobatto integration schemes instead of the more traditional Gauss scheme. For quadratic interface elements the same holds true except for a nodal lumping scheme.