Summary: A COUPLED MESHFREE/SCALED
BOUNDARY METHOD
C.E. Augarde1
and A.J. Deeks2
1
School of Engineering, University of Durham, South Road, Durham, DH1 3LE, UK
2
School of Civil & Resource Engineering, The University of Western Australia, 35 Stirling
Highway, Crawley 6009, Australia
Abstract The scaled boundary method is an excellent way to model unbounded domains.
However,itislimitedtolinearproblems.Manysoft-groundgeotechnicalproblems
require both non-linear constitutive behaviour for the soil, to capture pre-failure
deformations, and the presence of an unbounded domain. Adaptive meshfree
methods are ideally suited to such problems. This paper couples a meshless lo-
cal Petrov­Galerkin method for the near field with a meshless scaled boundary
method of similar type for the far field. The method presented is novel as the de-
grees of freedom of all nodes in the support of the interface nodes are coupled to
the stiffness of the unbounded domain, rather than just the nodes on the interface.
Keywords: meshfree method, scaled boundary method.
1. INTRODUCTION

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

Collections: Engineering