Abstract
Extended isoparametric finite method (XIFEM) consists in enriching the basis of the classical finite element method and taking into account the discontinuity of the displacement field across the crack by a discontinuous function along the crack line. It simulates the discontinuous character resulted from discontinuity such as crack or joint and by some trigonometric basis functions around the crack tip to embody singularity at the end of discontinuity. With the improved XIFEM, the tracking of crack propagation in reinforced concrete beams strengthened with FRP is simulated and the failure model is analyzed. Compared with the traditional finite element method, the XIFEM allows crack surface to be in any position of finite element mesh without dense mesh near the crack tips and without re-meshing, therefore crack growth is traced and modeled effectively. The results show the effectiveness and superiority of the improved XIFEM.
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References
Chen, J.F., Yuan, H., Teng, J.G.: Debonding failure along a softening FRP-to-concrete interface between two adjacent cracks in concrete members. Engineering Structures 29(2), 259–270 (2007)
Coronado, Lopez, C.A., Maria, M.: Numerical modeling of concrete-FRP debonding using a crack band approach. Journal of Composites for Construction 14(1), 11–21 (2010)
Iarve, E.V.: Mesh independent modeling of cracks by using higher order shape functions. Int. J. Numer. Meth. Eng. 56, 869–882 (2003)
Stazi, F.L., Budyn, E., Chessa, J., Belytschko, T.: An extended finite element method with higher-order elements for curved cracks. Comput. Mech. 31(38-48), 38 (2003)
Chessa, J., Wang, H., Belytschko, T.: On the construction of blending elements for local partition of unity enriched finite elements. International Journal for Numerical Method in Engineering 57(7), 1015–1038 (2003)
Hansbo, A., Hansbo, P.: A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Comput. Meth. Appl. Mech. Eng. 193, 3523–3540 (2004)
Godat, A., Labossière, P., Neale, K.W.: Numerical modeling of shear crack angles in FRP shear-strengthened reinforced concrete beams. Australian Journal of Structural Engineering 11(2), 87–101 (2010)
Belytschko, T., Moes, N., Usui, S., Parimi, C.: Arbitrary discontinuities in finite elements. International Journal for Numerical Methods in Engineering 50, 993–1013 (2001)
Xia, X.-z., Zhang, Q.: Discontinuous finite element method for simulation of discontinuities. Journal of Hohai University 33(6), 682–687 (2006) (in Chinese)
Khoei, A.R., Biabanaki, S.O.R., Anahid, M.: Extended finite element method for three-dimensional large plasticity deformations on arbitrary interfaces. Computer Methods in Applied Mechanics and Engineering 197(9-12), 1100–1114 (2008)
Zhou, J.-M., Qi, L.-H.: Treatment of discontinuous interface in liquid-solid forming with extended finite element method. Transactions of Nonferrous Metals Society of China (English Edition) 20(suppl. 3), s911–s915 (2010)
Liu, Borja, F., Ronaldo, I.: Finite deformation formulation for embedded frictional crack with the extended finite element method. International Journal for Numerical Methods in Engineering 82(6), 773–804 (2010)
Yang, S., Wang, H., Xia, X.-z., Yuan, H.: The Numerical Simulation of Crack Propagation in a FRP-to-concrete Beam without Remeshing. In: ICIECS 2009, vol. (3), pp. 1810–1812 (2009)
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Wang, H., Yuan, H., Yang, S. (2011). Numerical Analysis of Interface Crack Propagation in Reinforced Concrete Beams Strengthened with FRP by Extended Isoparametric Finite Element Method. In: Liu, B., Chai, C. (eds) Information Computing and Applications. ICICA 2011. Lecture Notes in Computer Science, vol 7030. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25255-6_22
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DOI: https://doi.org/10.1007/978-3-642-25255-6_22
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