The Earthquake Engineering Online Archive

A Boundary Element Algorithm Using Compatible Boundary Displacements and Tractions

Piltner, Reinhard; Taylor, Robert L.

UCB/SEMM-1988/19, Dept. of Civil Engineering, University of California, Berkeley, 1988, 30 pages

With the aid of Muskhelishvili's complex plane elasticity solution representation compatible displacement and stress fields are constructed. The complex functions in these formulas are represented by Cauchy integrals, which are discretized along the boundary with the aid of complex shape functions for each boundary element. The use of fifth order complex shape functions with continuous second complex derivatives gives numerical results of high accuracy.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-88-19.pdf (11 MB)