The Earthquake Engineering Online Archive

A Systematic Construction of B-Bar Functions for Linear and Non-Linear Mixed-Enhanced Finite Elements

Piltner, Reinhard; Taylor, Robert L.

UCB/SEMM-1996/02, Dept. of Civil and Environmental Engineering, University of California, Berkeley, 1996-12, 26 pages (500 C23 96-02)

Using orthogonal stress and strain functions B-bar functions are derived which avoid numerical inversion of matrices. The B-bar strain matrix is sparse and has the same structures as the strain matrix B obtained from a compatible displacement field. The implementation of the derived mixed element is basically the same as the one for a compatible displacement element.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-96-02.pdf (1 MB)