An extended finite element method for modeling crack growth with frictional contact

John Dolbow (1) , Nicolas Moës (2) , Ted Belytschko (2)

1 Duke University [Durham]
2 Department of Mechanical Engineering

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 [1] 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.

Domaines: Mécanique [physics.med-ph]

John Dolbow, Nicolas Moës, Ted Belytschko. An extended finite element method for modeling crack growth with frictional contact. Computer Methods in Applied Mechanics and Engineering, 2001, 190 (51-52), pp. 6825-6846. ⟨10.1016/S0045-7825(01)00260-2⟩. ⟨hal-01461932⟩