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The simulation of dynamic crack propagation using the cohesive segments method |
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| Authors: | Joris JC Remmers René de Borst |
| Institution: | a Faculty of Aerospace Engineering, Delft University of Technology, P.O. Box 5058, 2600 GB Delft, The Netherlands b Eindhoven University of Technology, Department of Mechanical Engineering, P.O. Box 513, 5600 MB Eindhoven, The Netherlands c Division of Engineering, Brown University, Providence, RI 02912, USA |
| Abstract: | The cohesive segments method is a finite element framework that allows for the simulation of the nucleation, growth and coalescence of multiple cracks in solids. In this framework, cracks are introduced as jumps in the displacement field by employing the partition of unity property of finite element shape functions. The magnitude of these jumps are governed by cohesive constitutive relations. In this paper, the cohesive segments method is extended for the simulation of fast crack propagation in brittle solids. The performance of the method is demonstrated in several examples involving crack growth in linear elastic solids under plane stress conditions: tensile loading of a block; shear loading of a block and crack growth along and near a bi-material interface. |
| Keywords: | Cohesive zone approach Dynamic crack propagation Partition of unity method Cohesive segments method Numerical stability |
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