Use of stabilization matrices in non‐linear analysis

Abstract

The numerical quadrature of the stiffness matrices and force vectors is a major factor in the accuracy and efficiency of the finite element methods. Even in the analysis of linear problems, the use of too many quadrature points results in a phenomenon called locking whereas the use of insufficient quadrature points results in a phenomenon called spurious singular mode. Therefore, efficient numerical quadrature schemes for structural dynamics are developed. It is expected that these improved finite elements can be used more reliably in many structural applications. The proposed developed quadrature schemes for the continuum and shell elements are straightforward and are modularized so that many existing finite element computer codes can be easily modified to accommodate the proposed capabilities. This should prove of great benefit to many computer codes which are currently used in structural engineering applications.

Citation

Kam Liu, W., Belytschko, T., Shau‐Jen Ong, J. and Law, S.E. (1985), "Use of stabilization matrices in non‐linear analysis", Engineering Computations, Vol. 2 No. 1, pp. 47-55. https://doi.org/10.1108/eb023600