Coupling generalized FC model to meshless EFG method for crack growth analysis in quasi-brittle materials
Abstract
In the paper a crack growth analysis in quasi brittle materials in plane stress state coupling the Fictitious Crack model to meshless Element-Free Galerkin method is presented. The FC model has been generalized and as a result a uniform algorithm of the analysis of crack propagation, which is a combination of elementary states mode I and mode II has been prepared. The problem is nonlinear because the traction forces contain, besides external loads, cohesive forces on the boundaries of the crack which depend on the actual state of the displacement field. The efficiency of the method has been tested on two standard examples.
References
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[2] Z.P. Bazant, B.P. Oh. Crack band theory for fracture of concrete. Materials and Structures, 16(93): 155- 177, 1983.
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[4] T. Belytschko, Y. Krongauz, M. Fleming, D. Organ, P. Krysl. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics Engineering, 139: 3- 47, 1996.
[5] T. Belytschko, Y. Krongauz, M. Fleming, D. Organ, W.K. Liu. Smoothing and accelerated computations in the element free Galerkin method. Journal of Computational and Applied Mathematics, 14: 111- 126, 1996.
[2] Z.P. Bazant, B.P. Oh. Crack band theory for fracture of concrete. Materials and Structures, 16(93): 155- 177, 1983.
[3] Z.P. Bazant, P.A. Pfeiffer. Determination of fracture energy from size effect and brittleness number. ACJ Materials Journal, 846: 463-480, 1987.
[4] T. Belytschko, Y. Krongauz, M. Fleming, D. Organ, P. Krysl. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics Engineering, 139: 3- 47, 1996.
[5] T. Belytschko, Y. Krongauz, M. Fleming, D. Organ, W.K. Liu. Smoothing and accelerated computations in the element free Galerkin method. Journal of Computational and Applied Mathematics, 14: 111- 126, 1996.
Published
2023-03-01
Issue
pp. 543-556
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
Cichoń, C., & Jaśkowiec, J. (2023). Coupling generalized FC model to meshless EFG method for crack growth analysis in quasi-brittle materials. Computer Assisted Methods in Engineering and Science, 8(4), 543-556. https://cames3.ippt.pan.pl/index.php/cames/article/view/1158
