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Civil-Comp Proceedings
ISSN 1759-3433 CCP: 85
PROCEEDINGS OF THE FIFTEENTH UK CONFERENCE OF THE ASSOCIATION OF COMPUTATIONAL MECHANICS IN ENGINEERING Edited by: B.H.V. Topping
Paper 48
A FEM-SBFEM Coupled Method for Fully-Automatic Modelling of Cohesive Discrete Crack Propagation Z.J. Yang1 and A.J. Deeks2
1Department of Engineering, University of Liverpool, United Kingdom
Full Bibliographic Reference for this paper
Z.J. Yang, A.J. Deeks, "A FEM-SBFEM Coupled Method for Fully-Automatic Modelling of Cohesive Discrete Crack Propagation", in B.H.V. Topping, (Editor), "Proceedings of the Fifteenth UK Conference of the Association of Computational Mechanics in Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 48, 2007. doi:10.4203/ccp.85.48
Keywords: finite element method, scaled boundary finite element method, cohesive crack model, discrete crack propagation, concrete beams, local arc-length method.
Summary
This study develops an innovative method, which couples the finite element method (FEM) and the scaled boundary finite element method (SBFEM), to fully-automatically model cohesive discrete crack growth in quasi-brittle materials. The linear elastic fracture mechanics (LEFM)-based remeshing procedure developed previously is augmented by inserting nonlinear interface finite elements automatically. The constitutive law of these elements is modelled by the cohesive/fictitious crack model to simulate the fracture process zone (FPZ), while the elastic bulk material is modelled by the SBFEM. The resultant nonlinear equation system is solved by a local arc-length controlled solver. The crack is assumed to grow when the mode-I stress intensity factor KI vanishes in the direction determined by LEFM criteria. Other salient algorithms associated with the SBFEM, such as mapping state variables after remeshing and calculating KI using a "shadow subdomain", are also described. Two concrete beams subjected to mode-I and mixed-mode fracture respectively are modelled to validate the new method. The following conclusions are drawn from this study:
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