Assumed strain stabilization procedure for the 9‐node Lagrange plane and plate elements

Abstract

An alternative stabilization approach has been developed for the 9‐node Lagrange plane and plate elements. In this approach, a stabilization stiffness is formulated using functions associated with the spurious zero‐energy modes. Efficiency has been increased by employing the same uniformly‐reduced integration scheme on the stabilization and underintegrated stiffness matrices. The results obtained using this rank‐sufficient element, termed the γ‐ψ element, appear to surpass those obtained with other rank‐sufficient 9‐node elements in accuracy.

Citation

Leong Wong, B. and Belytschko, T. (1987), "Assumed strain stabilization procedure for the 9‐node Lagrange plane and plate elements", Engineering Computations, Vol. 4 No. 3, pp. 229-239. https://doi.org/10.1108/eb023701