Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 7-Day Trial for You or Your Team.

Learn More →

A consistent formulation of a dilatant interface element

A consistent formulation of a dilatant interface element The paper considers a plane joint or interface element suitable for implementation into a standard non‐linear finite element code. The element is intended to model discontinuities with rough contact surfaces, such as rock joints, where dilatant behaviour is present. Of particular concern is the formulation of a constitutive model which fully caters for all possible histories of opening, closing and sliding (accompained by dilation or contraction) in any direction. The non‐linear incremental constitutive equations are formulated in a manner appropriate for a back‐ward difference discretization in time along the path of loading. The advantage of such an approach is that no essential distinction need be drawn between opening, closing and sliding. Further, a convenient formulation of the constitutive equations is facilitated by representing the different contact conditions in relative displacement space. The state diagram in relative displacement space, however, changes from one time step to the next, and evolution equations for the updating must be formulated. These concepts are illustrated for two rock‐joint models: a sawtooth asperity model and a limited dilation model. The models are based on a penalty formulation to enforce the contact constraints, and explicit equations for the tangent stiffness matrix and for the corrector step of the standard Newton–Raphson iterative algorithm are derived. These equations have been implemented as an user element into the finite element code ABAQUS7. Three examples are presented to illustrate the predictions of the formulation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal for Numerical and Analytical Methods in Geomechanics Wiley

A consistent formulation of a dilatant interface element

Download PDF
35 pages

Loading next page...
 
/lp/wiley/a-consistent-formulation-of-a-dilatant-interface-element-0E69EYhwU8

References (15)

Publisher
Wiley
Copyright
Copyright © 1992 John Wiley & Sons, Ltd
ISSN
0363-9061
eISSN
1096-9853
DOI
10.1002/nag.1610160703
Publisher site
See Article on Publisher Site

Abstract

The paper considers a plane joint or interface element suitable for implementation into a standard non‐linear finite element code. The element is intended to model discontinuities with rough contact surfaces, such as rock joints, where dilatant behaviour is present. Of particular concern is the formulation of a constitutive model which fully caters for all possible histories of opening, closing and sliding (accompained by dilation or contraction) in any direction. The non‐linear incremental constitutive equations are formulated in a manner appropriate for a back‐ward difference discretization in time along the path of loading. The advantage of such an approach is that no essential distinction need be drawn between opening, closing and sliding. Further, a convenient formulation of the constitutive equations is facilitated by representing the different contact conditions in relative displacement space. The state diagram in relative displacement space, however, changes from one time step to the next, and evolution equations for the updating must be formulated. These concepts are illustrated for two rock‐joint models: a sawtooth asperity model and a limited dilation model. The models are based on a penalty formulation to enforce the contact constraints, and explicit equations for the tangent stiffness matrix and for the corrector step of the standard Newton–Raphson iterative algorithm are derived. These equations have been implemented as an user element into the finite element code ABAQUS7. Three examples are presented to illustrate the predictions of the formulation.

Journal

International Journal for Numerical and Analytical Methods in Geomechanics – Wiley

Published: Jul 1, 1992

There are no references for this article.