Skip to Main content Skip to Navigation
Journal articles

DIC identification and X-FEM simulation of fatigue crack growth based on the Williams’ series

Abstract : A unified Digital Image Correlation (DIC)/eXtended Finite Element Method (X-FEM) framework based on the Williams’ series for fatigue crack growth identification and simulation is proposed. Williams’ series are used for post-processing the displacement measured by digital image correlation. It gives access to the change of stress intensity factors and crack length with the number of cycles. A Paris’ crack propagation law is subsequently identified and further validated by simulating the experiment. The simulation uses measured displacements as Dirichlet boundary conditions and a direct estimation of stress intensity factors based on a coupling between a finite element model and the analytical Williams’ solutions. It is shown that the use of actual boundary conditions is crucial. The use of the Williams’ formalism is further investigated on an elasto-plastic simulation to validate the extraction of nonlinear features in the crack tip vicinity.
Complete list of metadatas

Cited literature [51 references]  Display  Hide  Download
Contributor : François Hild <>
Submitted on : Tuesday, January 15, 2019 - 11:14:03 AM
Last modification on : Wednesday, July 8, 2020 - 12:43:55 PM
Long-term archiving on: : Tuesday, April 16, 2019 - 2:09:02 PM


ijsolstr_DIC identification an...
Publication funded by an institution



C. Roux-Langlois, A. Gravouil, M.-C. Baietto, J. Réthoré, F. Mathieu, et al.. DIC identification and X-FEM simulation of fatigue crack growth based on the Williams’ series. International Journal of Solids and Structures, Elsevier, 2015, 53, pp.38-47. ⟨10.1016/j.ijsolstr.2014.10.026⟩. ⟨hal-01710062⟩



Record views


Files downloads