Finite Element Modelling of Complex 3D Static and Dynamic Crack Propagation by Embedding Cohesive Elements in Abaqus
This study proposes an algorithm of embedding cohesive elements in Abaqus and develops the computer code to model 3D complex crack propagation in quasi-brittle materials in a relatively easy and efficient manner. The cohesive elements with softening traction-separation relations and damage initiation and evolution laws are embedded between solid elements in regions of interest in the initial mesh to model potential cracks. The initial mesh can consist of tetrahedrons, wedges, bricks or a mixture of these elements. Neither remeshing nor objective crack propagation criteria are needed. Four examples of concrete specimens, including a wedge-splitting test, a notched beam under torsion, a pull-out test of an anchored cylinder and a notched beam under impact, were modelled and analysed. The simulated crack propagation processes and load-displacement curves agreed well with test results or other numerical simulations for all the examples using initial meshes with reasonable densities. Making use of Abaqus’s rich pre/postprocessing functionalities and powerful standard/explicit solvers, the developed method offers a practical tool for engineering analysts to model complex 3D fracture problems.
Key wordsfinite element method cohesive elements three-dimensional crack propagation discrete crack model concrete structures Abaqus
Unable to display preview. Download preview PDF.
- Scordelis, A.C. and Ngo, D., Finite element analysis of reinforced concrete beams. Journal of the American Concrete Institute, 1967, 64: 152–163.Google Scholar
- Dolbow,J.E., An Extended Finite Element Method with Discontinuous Enrichment for Applied Mechanics. Ph.D. dissertation, Northwestern University, 1999.Google Scholar
- Abaqus 6.7 User Documentation, Dessault Systems, 2007.Google Scholar
- Matlab R2008a User’s Guide, MathWorks, 2008.Google Scholar
- Trunk,B., Einfluss der Bauteilgroesse auf die Bruchenergie von Beton. Aedificatio Publishers, 2000 (in German).Google Scholar
- Feist,C., Numerical Simulations of Localization Effects in Plain Concrete. Ph.D. dissertation, University Innsbruck, 2003.Google Scholar
- Brokenshire,D.R., A Study of Torsion Fracture Tests. Ph.D. Dissertation, Cardiff University, 1996.Google Scholar
- Rots,J.G., Computational Modelling of Concrete Fracture. Ph.D. Dissertation, Delft University of Technology, 1988.Google Scholar
- Du, J., Yon, J.H., Hawkins, N.M., Arakawa, K. and Kobayashi, A.S., Fracture process zone for concrete for dynamic loading. ACI Materials Journal, 1992, 89: 252–258.Google Scholar
- Yon, J.H., Hawkins, N.M. and Kobayashi, A.S., Strain-rate sensitivity of concrete mechanical properties. ACI Materials Journal, 1992, 89: 146–153.Google Scholar