We present a new cohesive interface model for quasi-static creep crack
growth that is implemented within a moving-grid finite element model.
A pseudo crack tip separates the cohesive process zone from the free
surfaces of the crack. The moving-grid formulation models continuous c
rack advance by describing relative motion between the pseudo crack ti
p and the material. This eliminates the need for extensive mesh refine
ment away from the current crack-tip location and supports both transi
ent and direct steady-state solutions. A traction-separation law deter
mines the energetic properties of the decohesion process and generates
a simple criterion for crack advance. The new formulation remedies a
problem in earlier models which permit a crack to heal on unloading. N
umerical examples demonstrate the moving cohesive interface model in s
tudies of steady-state crack growth. Adaptive grid refinement is used
to control the accuracy of the solution.