Convergence of the BEM Solution Applied to the CCFFM for LEBIM


Article Preview

A procedure based on the Linear Elastic Brittle Interface Model (LEBIM) combined with the Coupled Criterion of Finite Fracture Mechanics (CCFFM) is successfully implemented in a 2D Boundary Element Method (BEM) code. In the original LEBIM formulation, the values of the interface strength, fracture toughness and stiffness are dependent on each other. Therefore, for a large interface stiffness, when the elastic interface tends to a perfect (infinitely stiff) interface, LEBIM is not able to properly characterize the crack propagation. The use of the CCFFM applied to LEBIM, with both the stress and energy criteria imposed as independent fracture conditions, allows to uncouple the interface fracture toughness and strength, obtaining realistic predictions for crack propagation even for stiff interfaces. This code is successfully applied to the problem of debond onset and growth in the pull push test. A benchmark problem is solved, focusing on the convergence of the load-displacement curve and crack-tip solution for h-refinements of BE meshes.



Edited by:

Luis Rodríguez-Tembleque, Jaime Domínguez and Ferri M.H. Aliabadi




M. Muñoz-Reja et al., "Convergence of the BEM Solution Applied to the CCFFM for LEBIM", Key Engineering Materials, Vol. 774, pp. 355-360, 2018

Online since:

August 2018




* - Corresponding Author

[1] L. Távara, V. Mantič, E. Graciani and F. París: Eng. Anal. Bound. Elem. Vol. 35 (2011), p.207–222.

[2] V. Mantič, L. Távara, A. Blázquez, E. Graciani and F. París: Int. J. Fracture. Vol. 195 (2015), pp.15-38.

[3] S. Lenci: Int. J. Fracture. Vol. 108 (2001), pp.275-290.

[4] D. Leguillon: European J. Mechanics-A/Solids. Vol. 21 (2002), pp.61-72.

[5] P. Cornetti, N. Pugno, A. Carpinteri, D. Taylor: Engineering Fracture Mechanics. Vol. 73 (2006), p.2021-(2033).


[6] V. Mantič: Int. J. Solid. Structures. Vol. 46 (2009), pp.1287-1304.

[7] P. Cornetti, V. Mantič, A. Carpinteri: Int. J. Solid. Structures. Vol. 49 (2012), pp.1022-1032.

[8] M. Muñoz-Reja, L. Távara, V. Mantič, P. Cornetti: Composites Part A. Vol. 82 (2016), p.267–278.

[9] M. Muñoz-Reja, L. Távara, V. Mantič, P. Cornetti: Procedia Materials Science. Vol. 3 (2014), pp.1365-1370.


[10] P. Weissgraeber, W. Becker: Int. J. Solid. Structures. Vol. 50 (2013), p.2383–2394.

[11] S. Hell, P. Weißgraeber, J. Felger, W. Becker: Engineering Fracture Mechanics. Vol. 117 (2014), pp.112-126.