Interface Modelling in Computational Limit Analysis View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2011

AUTHORS

A. V. Lyamin , K. Krabbenhøft , S. W. Sloan

ABSTRACT

In many geotechnical stability problems it is important to account for interface conditions between two or more adjoining bodies, e.g. retaining walls and footings with no-tension contact between soil and structure. These interfaces can be considered as discontinuities in stress and velocity fields developed in the system undergoing plastic collapse. Discontinuous variable fields are routinely employed in FE lower and upper bound limit analyses to improve the performance of lower order elements used to obtain rigorous bounds on the collapse factor. Traditionally, stress and velocity discontinuities have been implemented as a set of special equalities on the stress and velocity variables of adjacent nodes across inter-element boundaries. The major drawback of this approach is that the velocity discontinuities are restricted only to materials with Tresca or Mohr-Coulomb yield criteria. Recently, however, it was shown that velocity discontinuities can be represented by a patch of regular elements of zero thickness. This development opens the way for a discontinuous upper bound formulation to be used with general yield criteria in both two- and three-dimensions. By also treating stress discontinuities as a patch of zero thickness elements in a lower bound formulation, lower and upper bound FE methods can be used effectively to solve stability problems involving a wide variety of materials and interface conditions. More... »

PAGES

321-330

Book

TITLE

Recent Developments and Innovative Applications in Computational Mechanics

ISBN

978-3-642-17483-4
978-3-642-17484-1

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-17484-1_36

DOI

http://dx.doi.org/10.1007/978-3-642-17484-1_36

DIMENSIONS

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