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Published in last 50 years
Spurious zero-energy mode in the numerical analysis of piled raft foundations. Technical note : Clancy, P; Griffiths, D V Comput GeotechV11, N2, 1991, P159–170
Numerical analysis of piled raft foundations has been performed using 4-node quadrilateral plate bending elements for the slab and axial elements for the piles. Selective reduced integration in the plate stiffness matrix formation was shown generally to improve the performance of the element, but led to the formation of a spurious zero-energy mode in some circumstances. Several numerical examples are presented to illustrate the reasons for such contrasting behaviour, and suggestions are made as to how this zero-energy mode can be avoided.
Elastic analysis of piled raft foundations in a homogeneous soil : Kuwabara, F Soils FoundV29, N1, March 1989, P82–92