JAMP  Vol.2 No.12 , November 2014
Selective Activation of Intrinsic Cohesive Elements
Abstract: In this paper, a selective activation strategy is studied in order to alleviate the issue of added compliance in the intrinsic cohesive zone model applied to arbitrary crack propagation. This strategy proceeds by first inserting cohesive elements between bulk elements and subsequently tying the duplicated nodes across the interface using controllable multi-point constraints before the analysis begins. Then, during the analysis, a part of the multi-point constraints are selectively released, thereby reactivating the corresponding cohesive elements and allowing cracks to initiate and propagate along the bulk element boundaries. The strategy is implemented in Abaqus/Standard using a user-defined multi-point constraint subroutine. Analysis results indicate that the strategy significantly alleviates the added compliance problem and reduces the computation time.
Cite this paper: Woo, K. , Peterson, W. and Cairns, D. (2014) Selective Activation of Intrinsic Cohesive Elements. Journal of Applied Mathematics and Physics, 2, 1061-1068. doi: 10.4236/jamp.2014.212121.

[1]   Elices, M., Guinea, G.V., Gomes, J. and Planas, J. (2002) The Cohesive Zone Model: Advantages, Limitations and Challenges. Engineering Fracture Mechanics, 69, 137-163.

[2]   Seagraves, A. and Radovitzky, R. (2010) Advances in Cohesive Zone Modeling of Dynamic Fracture. In: Shukla, A., et al., Eds., Dynamic Failure of Materials and Structures, Springer, 349-405.

[3]   Dugdale, D.S. (1960) Yielding of Steel Sheets Containing Slits. Journal of the Mechanics and Physics of Solids, 8, 100-108.

[4]   Barenblatt, G.I. (1962) The Mathematical Theory of Equilibrium Cracks in Brittle Fracture. Advances in Applied Mechanics, 7, 55-129.

[5]   Hillerborg, A., Modeer, M. and Phtersson, P.E. (1976) Analy-sis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements. Cement and Concrete Research, 6, 773-782.

[6]   Tvergaard, V. and Hutchinson, J.W. (1992) The Relation between Crack Growth Resistance and Fracture Parameters in Elastic-Plastic Solids. Journal of the Mechanics and Physics of Solids, 40, 1377-1397.

[7]   Xu, X.P. and Needleman, A. (1994) Numerical Simulations of Fast Crack Growth in Brittle Solids. Journal of the Mechanics and Physics of Solids, 42, 1397-1434.

[8]   Camacho, G.T. and Ortiz, M. (1996) Computational Modeling of Impact Damage in Brittle Materials. International Journal of Solids and Structures, 33, 2899-2938.

[9]   Geubelle, P.H. and Baylor, J. (1998) Impact-Induced Delamina-tion of Laminated Composites: A 2D Simulation. Com- posites Part B Engineering, 29, 589-602.

[10]   Cornec, A., Scheider, I. and Schwalbe, K.-H. (2003) On the Practical Application of the Cohesive Models. Engineering Fracture Mechanics, 70, 1963-1987.

[11]   Klein, P.A., Foulk, J.W., Chen, E.P., Wimmer, S.A. and Gao, H. (2001) Physics-Based Modeling of Brittle Fracture: Cohesive Formulation and the Application of Meshfree Methods. Theoretical and Applied Fracture Mechanics, 37, 99- 166.

[12]   Paulino, G.H., Celes, W., Espinha, R. and Zhang, Z. (2008) A General Topology-Based Framework of Adaptive Insertion of Cohesive Elements in Finite Element Meshes. Engineering with Computers, 24, 59-78.

[13]   Pandolfi, A. and Ortiz, M. (1998) Solid Modeling Aspects of Three-Dimensional Fragmentation. Engineering with Computers, 14, 287-308.

[14]   Papoulia, K.D., Sam, C.-H. and Vavasis, S.A. (2003) Time Continuity in Cohesive Finite Element Modeling. International Journal for Numerical Methods in Engineering, 58, 679-701.

[15]   Turon, A., Davilla, C.G., Camanho, P.P. and Costa, J. (2007) An Engineering Solution for Mesh Size Effects in the Simulation of Delamination Using Cohesive Zone Models. Engineering Fracture Mechanics, 74, 1665-1682.