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ACME 2004, Cardiff Stresses around square tunnels using a meshless scaled boundary method
 

Summary: ACME 2004, Cardiff
Stresses around square tunnels using a meshless scaled boundary method
A.J. Deeks* & C.E. Augarde#
*School of Civil & Resource Engineering, University of Western Australia
#
School of Engineering, University of Durham, UK
Summary: A recent development of the scaled boundary method is outlined in this
paper, where trial functions for the circumferential approximation are derived from a
meshless method, rather than a conventional Galerkin finite element approach. The
shape functions derived in this way lead to a smoother approximation on the defining
curve so that a stress recovery procedure is not necessary and no elements are required.
The new method is used to model the stresses around a square tunnel in a linear elastic
soil with insitu prestress, and is shown to be both more economical (in terms of degrees
of freedom) and more accurate than a conventional displacement FE approach.
Introduction
While the conventional finite element method is widely used in solid mechanics it
remains deficient in some areas. Its inability to deal with infinite domains and stress
singularities are important issues for which various techniques have been devised in the
past, such as infinite elements and adaptivity. An alternative numerical method which
deals with both of these issues is the scaled boundary finite-element method (SBFEM),

  

Source: Augarde, Charles - School of Engineering, University of Durham

 

Collections: Engineering