Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#268321] of John E. Dolbow

Papers Published

  1. Dolbow, J; Moës, N; Belytschko, T, An extended finite element method for modeling crack growth with frictional contact, Computer Methods in Applied Mechanics and Engineering, vol. 190 no. 51-52 (October, 2001), pp. 6825-6846, ISSN 0045-7825 [S0045-7825(01)00260-2], [doi]
    (last updated on 2018/10/21)

    A new technique for the finite element modeling of crack growth with frictional contact on the crack faces is presented. The extended Finite Element Method (X-FEM) is used to discretize the equations, allowing for the modeling of cracks whose geometry are independent of the finite element mesh. This method greatly facilitates the simulation of a growing crack, as no remeshing of the domain is required. The conditions which describe frictional contact are formulated as a non-smooth constitutive law on the interface formed by the crack faces, and the iterative scheme implemented in the LATIN method [Nonlinear Computational Structural Mechanics, Springer, New York, 1998] is applied to resolve the nonlinear boundary value problem. The essential features of the iterative strategy and the X-FEM are reviewed, and the modifications necessary to integrate the constitutive law on the interface are presented. Several benchmark problems are solved to illustrate the robustness of the method and to examine convergence. The method is then applied to simulate crack growth when there is frictional contact on the crack faces, and the results are compared to both analytical and experimental results. © 2001 Elsevier Science B.V. All rights reserved.

    boundary-value problems;cracks;finite element analysis;fracture;sliding friction;structural engineering computing;
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320