Abstract
The scaled-boundary finite element method is a novel semi-analytical technique, combining the advantages of the finite element and the boundary element methods with unique properties of its own. This paper develops a new virtual work formulation and modal interpretation of the method for elastostatics. This formulation follows a similar procedure to the traditional virtual work derivation of the standard finite element method. As well as making the method more accessible, this approach leads to new techniques for the treatment of body loads, side-face loads and axisymmetry that simplify implementation. The paper fully develops the new formulation, and provides four examples illustrating the versatility, accuracy and efficiency of the scaled boundary finite-element method. Both bounded and unbounded domains are treated, together with problems involving stress singularities.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received 20 May 2001 / Accepted 1 February 2002
Rights and permissions
About this article
Cite this article
Deeks, A., Wolf, J. A virtual work derivation of the scaled boundary finite-element method for elastostatics. Computational Mechanics 28, 489–504 (2002). https://doi.org/10.1007/s00466-002-0314-2
Issue Date:
DOI: https://doi.org/10.1007/s00466-002-0314-2