The modelling of anchors using the material point method

The ultimate capacity of anchors is determined using the material point method (MPM). MPM is a so‐called meshless method capable of modelling large displacements, deformations and contact between different bodies. A short introduction to MPM is given and the derivation of the discrete governing equa...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics Vol. 29; no. 9; pp. 879 - 895
Main Authors: Coetzee, C. J., Vermeer, P. A., Basson, A. H.
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 10.08.2005
Wiley
Subjects:
anchor pull out
Applied sciences
Buildings. Public works
Computation methods. Tables. Charts
Earthwork. Foundations. Retaining walls
Exact sciences and technology
Geotechnics
material point method
Soil mechanics. Rocks mechanics
Structural analysis. Stresses
Pull out test
Anchor
Experimental result
anchor pull out
Formulation
Displacement(deformation)
Material point method
Forecast model
Modeling
Soil mechanics
Comparative study
ISSN:0363-9061, 1096-9853
Online Access:Get full text
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Summary:The ultimate capacity of anchors is determined using the material point method (MPM). MPM is a so‐called meshless method capable of modelling large displacements, deformations and contact between different bodies. A short introduction to MPM is given and the derivation of the discrete governing equations. The analysis of a vertically loaded anchor and one loaded at 45° is presented. The load–displacement curves are compared to that obtained from experiments and the effect of soil stiffness and anchor roughness is investigated. The results of the vertically loaded anchor are also compared to an analytical solution. The displacement of the soil surface above the anchor was measured and compared to the numerical predictions. Convergence with mesh refinement is demonstrated and the effect of mesh size and dilatancy angle on the shear band width and orientation is indicated. The results show that MPM can model anchor pull out successfully. No special interface elements are needed to model the anchor–soil interface and the predicted ultimate capacities were within 10% of the measured values. Copyright © 2005 John Wiley & Sons, Ltd.
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ISSN:0363-9061
1096-9853
DOI:10.1002/nag.439