Skip to main content
SpringerLink
Log in
Book cover

Computational Methods pp 1429–1433Cite as

A COUPLED MESHFREE/SCALED BOUNDARY METHOD

  • Conference paper

  • 1223 Accesses

Abstract

The scaled boundary method is an excellent way to model unbounded domains. However, it is limited to linear problems. Many soft-ground geotechnical problems 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 local Petrov–Galerkin 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 degrees 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.

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

REFERENCES

  1. S.N. Atluri and T. Zhu (1998), A new Meshless Local Petrov—Galerkin (MLPG) approach in computational mechanics. Computational Mechanics, 22, pp. 117–127.

    Article  MATH  MathSciNet  Google Scholar 

  2. J.P. Wolf and Ch. Song (1996), Finite-Element Modelling of Unbounded Medial, John Wiley and Sons, Chichester.

    Google Scholar 

  3. J.P. Wolf and Ch. Song (2001), The scaled boundary finite-element method—a fundamental solutionless boundary-element method and Computer Methods in Applied Mechanics and Engineering, 190, pp. 5551–5568.

    Article  MATH  Google Scholar 

  4. A.J. Deeks and J.P. Wolf (2002), A virtual work derivation of the scaled boundary finite-element method for elastostatics. Computational Mechanics, 28, 6, pp. 489–504.

    Article  MATH  MathSciNet  Google Scholar 

  5. J.P. Doherty and A.J. Deeks (2003), Scaled boundary finite-element analysis of a non-homogeneous half-space. International Journal for Numerical Methods of Engineering, 57, 7, pp. 955–973.

    Article  MATH  Google Scholar 

  6. A.J. Deeks and C.E. Augarde (2004a), A meshfree scaled boundary method. Submitted to Computational Mechanics.

    Google Scholar 

  7. X. Zhang, X. Liu, MW Lu and Y. Chen (2001), Computer Methods in Applied Mechanics and Engineering, Imposition of essential boundary conditions by displacement constraint equations in meshless methods. Communications in Numerical Methods in Engineering, 17, 3, pp. 165–178.

    Article  MATH  Google Scholar 

  8. A.J. Deeks and C.E. Augarde (2004b), A hybrid meshless local Petrov—Galerkin method for unbounded domains. In preparation.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Engineering, University of Durham, South Road, Durham, DH1 3LE, UK

    C.E. Augarde

  2. School of Civil & Resource Engineering, The University of Western Australia, 35 Stirling Highway, Crawley, 6009, Australia

    A.J. Deeks

Authors
  1. C.E. Augarde
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A.J. Deeks
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. National University of Singapore, Singapore

    G.R. LIU

  2. National University of Singapore, Singapore

    V.B.C. TAN

  3. Hunan University, P.R. China

    X. HAN

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

Augarde, C., Deeks, A. (2006). A COUPLED MESHFREE/SCALED BOUNDARY METHOD. In: LIU, G., TAN, V., HAN, X. (eds) Computational Methods. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3953-9_65

Download citation

  • DOI: https://doi.org/10.1007/978-1-4020-3953-9_65

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3952-2

  • Online ISBN: 978-1-4020-3953-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation