Ky. Sze, CONTROL OF SPURIOUS MECHANISMS FOR 20-NODE AND TRANSITION SUB-INTEGRATED HEXAHEDRAL ELEMENTS, International journal for numerical methods in engineering, 37(13), 1994, pp. 2235-2250
In this paper, control of spurious mechanisms for sub-integrated 20-no
de and transition hexahedral elements is devised by an assumed stress
approach. The higher-order stress modes for stabilizing the sub-integr
ated elements are identified by examining the spurious mechanisms. Wit
h an admissible simplification of the flexibility matrix, row vectors
of the leverage matrix can be used as stabilization vectors. Numerical
examples for the stabilized 20-node element are presented. Accuracy o
f the derived element is far better than the fully integrated displace
ment elements. Meanwhile, the for-mer also consumes marginally less CP
U time than the latter.