An X–FEM Technique for Modeling the FRP Strengthening of Concrete Arches with a Plastic–Damage Model; Numerical and Experimental Investigations

Authors

  • Amir R. Khoei Center of Excellence in Structures and Earthquake Engineering, Department of Civil Engineering, Sharif University of Technology, P.O. Box 11365-9313, Tehran, Iran https://orcid.org/0000-0002-1812-3004
  • Tahmaz Ahmadpour Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Campus, P.O. Box 76417-76655, Kish Island, Iran
  • Yousef Navidtehrani Center of Excellence in Structures and Earthquake Engineering, Department of Civil Engineering, Sharif University of Technology, P.O. Box 11365-9313, Tehran, Iran

DOI:

https://doi.org/10.13052/ejcm1779-7179.3011

Keywords:

Concrete arch; FRP retrofitting; X-FEM method; Plastic-damage model; Cohesive fracture model

Abstract

In this paper, an enriched–FEM method is presented based on the X-FEM technique by applying a damage–plasticity model to investigate the effect of FRP strengthening on the concrete arch. In this manner, the damage strain is lumped into the crack interface while the elastic and plastic strains are employed within the bulk volume of element. The damage stress–strain relation is converted to the traction separation law using an acoustic tensor. The interface between the FRP and concrete is modeled using a cohesive fracture model. The X-FEM technique is applied where the FE mesh is not necessary to be conformed to the fracture geometry, so the regular mesh is utilized independent of the position of the fracture. The accuracy of the proposed plastic-damage model is investigated under the monotonic tension, compression, and cyclic tension loading. Furthermore, the accuracy of the cohesive fracture model is investigated using the experimental data reported for the debonding test. In order to verify the accuracy of the proposed computational algorithm, the numerical results are compared with those of experimental data obtained from two tests conducted on reinforced concrete arches strengthened with FRP. Finally, a parametric study is performed by evaluating the effects of high to span ratio, longitudinal reinforcement ratio, and strengthening method.

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Author Biographies

Amir R. Khoei, Center of Excellence in Structures and Earthquake Engineering, Department of Civil Engineering, Sharif University of Technology, P.O. Box 11365-9313, Tehran, Iran

Amir R. Khoei received his Ph.D. in Civil Engineering from the University of Wales Swansea in UK in 1998. He is currently a professor in the Civil Engineering Department at Sharif University of Technology. He is a member of the editorial board in the journals of Finite Elements in Analysis and Design and European Journal of Computational Mechanics. He has been selected several times as a distinguished professor at the Sharif University of Technology, and as a distinguished professor by the Ministry of Science, Research and Technology in 2008. He is the silver medal winner of Khwarizmi International Award organized by the Iranian Research Organization for Science and Technology.

Tahmaz Ahmadpour, Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Campus, P.O. Box 76417-76655, Kish Island, Iran

Tahmaz Ahmadpour received his BSc degree in Civil Engineering from Iran University of Science and Technology, Tehran, Iran in 2001. He received his MSc degree in Structural Engineering from Sahand University of Technology, Tabriz, Iran in 2004. He is currently a PhD student in Civil Engineering at the International Campus of the Sharif University of Technology. His main research interests are Computational Fracture and Damage Mechanics for Brittle material and Extended Finite Element Method (X-FEM).

Yousef Navidtehrani, Center of Excellence in Structures and Earthquake Engineering, Department of Civil Engineering, Sharif University of Technology, P.O. Box 11365-9313, Tehran, Iran

Yousef Navidtehrani received his BSc degree in Civil Engineering from Iran University of Science and Technology, Tehran, Iran in 2014. He received his MSc degree in Structural Engineering from Sharif University of Technology, Tehran, Iran in 2017. He is currently working as a researcher in the University of Oviedo, Spain cooperating with Sharif University of Technology, Iran and Imperial College London, UK. His main research interests are Computational Plasticity, Computational Fracture and Damage Mechanics, Phase Field Modeling, Material Characterization and Multiscale Modeling.

References

Tao, Y., Stratford, T.J., Chen, J.F. (2011) Behaviour of a masonry arch bridge repaired using fibre-reinforced polymer composites. Engineering Structures 33, 1594–1606.

Alecci, V., Misseri, G., Rovero, L., et al. (2016) Experimental investigation on masonry arches strengthened with PBO-FRCM composite. Composites Part B: Engineering 100, 228–239.

Martin, T., Taylor, S., Robinson, D., Cleland, D. (2019) Finite element modelling of FRP strengthened restrained concrete slabs. Engineering Structures 187, 101–119.

Dagher, H.J., Bannon, D.J., Davids, W.G., Lopez-Anido, R.A. (2012) Bending behavior of concrete-filled tubular FRP arches for bridge structures. Construction and Building Materials 37, 432–439.

Chen, H., Zhou, J., Fan, H., et al. (2014) Dynamic responses of buried arch structure subjected to subsurface localized impulsive loading: Experimental study. International Journal of Impact Engineering 65, 89–101.

Hamed, E., Chang, Z.T., Rabinovitch, O. (2015) Strengthening of reinforced concrete arches with externally bonded composite materials: Testing and analysis. Journal of Composites for Construction 19, 04014031.

Zhang, X., Wang, P., Jiang, M., et al. (2015) CFRP strengthening reinforced concrete arches: Strengthening methods and experimental studies. Composite Structures 131, 852–867.

Pramono, E., Willam, K. (1989) Fracture energy-based plasticity formulation of plain concrete. Journal of Engineering Mechanics ASCE 115, 1183–1204.

Feenstra, P.H., De Borst, R. (1996) A composite plasticity model for concrete. International Journal of Solids and Structures 33, 707–730.

Li, Y.F., Lin, C.T., Sung, Y.Y. (2003) A constitutive model for concrete confined with carbon fiber reinforced plastics. Mechanics of Materials 35, 603–619.

Červenka, J., Papanikolaou, V.K. (2008) Three dimensional combined fracture–plastic material model for concrete. International Journal of Plasticity 24, 2192–2220.

Bažant, Z.P., Ožbolt, J. (1990) Nonlocal microplane model for fracture, damage, and size effect in structures. Journal of Engineering Mechanics 116, 2485–2505.

Voyiadjis, G.Z., Abu-Lebdeh, T.M. (1993) Damage model for concrete using bounding surface concept. Journal of Engineering Mechanics 119, 1865–1885.

Lubliner, J., Oliver, J., Oller, S., Oñate, E. (1989) A plastic-damage model for concrete. International Journal of Solids and Structures 25, 299–326.

Lee, J., Fenves, G.L. (1998) Plastic-damage model for cyclic loading of concrete structures. Journal of Engineering Mechanics 124, 892–900.

Faria, R., Oliver, J., Cervera, M. (1998) A strain-based plastic viscous-damage model for massive concrete structures. International Journal of Solids and Structures 35, 1533–1558.

Ibrahimbegović, A., Markovič, D., Gatuingt, F. (2003) Constitutive model of coupled damage-plasticity and its finite element implementation. European Journal of Computational Mechanics 12, 381–405.

Salari, M.R., Saeb, S., Willam, K.J., et al. (2004) A coupled elastoplastic damage model for geomaterials. Computer Methods in Applied Mechanics and Engineering 193, 2625–2643.

Gatuingt, F., Desmorat, R., Chambart, M., et al. (2008) Anisotropic 3D delay-damage model to simulate concrete structures. European Journal of Computational Mechanics 17, 749–760.

Yu, T., Teng, J.G., Wong, Y.L., Dong, S.L. (2010) Finite element modeling of confined concrete-II: Plastic-damage model. Engineering Structures 32, 680–691.

Grassl, P., Jirásek, M. (2006) Damage-plastic model for concrete failure. International Journal of Solids and Structures 43, 7166–7196.

Nguyen, G.D., Korsunsky, A.M. (2006) Damage-plasticity modelling of concrete: calibration of parameters using separation of fracture energy. International Journal of Fracture 139: 325–332.

Hwang, Y.K., Bolander, J.E., Lim, Y.M. (2016) Simulation of concrete tensile failure under high loading rates using three-dimensional irregular lattice models. Mechanics of Materials 101, 136–146.

Nguyen, G.D., Houlsby, G.T. (2008) A coupled damage–plasticity model for concrete based on thermo-dynamic principles: Part I: model formulation and parameter identification. International Journal for Numerical and Analytical Methods in Geomechanics 32, 353–389.

Nguyen, G.D., Houlsby, G.T. (2008) A coupled damage–plasticity model for concrete based on thermo-dynamic principles: Part II: non-local regularization and numerical implementation. International Journal for Numerical and Analytical Methods in Geomechanics 32, 391–413.

Moslemi, H., Khoei, A.R. (2009) 3D adaptive finite element modeling of non-planar curved crack growth using the weighted superconvergent patch recovery method. Engineering Fracture Mechanics 76, 1703–1728.

Khoei, A.R., Moslemi, H., Sharifi, M. (2012) Three-dimensional cohesive fracture modeling of non-planar crack growth using adaptive FE technique. International Journal of Solids and Structures 49, 2334–2348.

Khoei, A.R., Eghbalian, M., Moslemi, H., Azadi, H. (2013) Crack growth modelling via 3D automatic adaptive mesh refinement based on modified–SPR technique. Applied Mathematical Modeling 37, 357–383.

Babuska, I., Melenk, J.M. (1997) The partition of unity method. International Journal for Numerical Methods in Engineering 40, 727–758.

Belytschko, T., Black, T. (1999) Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering 45, 601–620.

Khoei, A.R. (2015) Extended Finite Element Method: Theory and Applications. John Wiley.

Broumand, P., Khoei, A.R. (2013) The extended finite element method for large deformation ductile fracture problems with a non-local damage-plasticity model. Engineering Fracture Mechanics 112, 97–125.

Pañeda, E.M., Natarajan, S., Bordas, S. (2017) Gradient plasticity crack tip characterization by means of the extended finite element method. Computational Mechanics 59, 831–842.

Borja, R.I. (2008) Assumed enhanced strain and the extended finite element methods: A unification of concepts. Computer Methods in Applied Mechanics and Engineering 197, 2789–2803.

Chahine, E., Laborde, P., Renard, Y. (2008) Crack tip enrichment in the XFEM using a cutoff function. International Journal for Numerical Methods in Engineering 75, 629–646.

Tarancon, J.E., Vercher, A., Giner, E., Fuenmayor, F.J. (2009) Enhanced blending elements for XFEM applied to linear elastic fracture mechanics. International Journal for Numerical Methods in Engineering 77, 126–148.

Fries, T.P. (2008) A corrected XFEM approximation without problems in blending elements. International Journal for Numerical Methods in Engineering 75: 503–532.

Gracie, R., Wang, H.W., Belytschko, T. (2008) Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods. International Journal for Numerical Methods in Engineering 74, 1645–1669.

Shen, Y.X., Lew, A. (2010) An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics. International Journal for Numerical Methods in Engineering 82, 716–755.

Khalfallah, S., Charif, A., Naimi, M. (2004) Nonlinear analysis of reinforced concrete structures using a new constitutive model. European Journal of Computational Mechanics 13, 841–856.

Bertolesi, E., Milani, G., Fedele, R. (2016) Fast and reliable non-linear heterogeneous FE approach for the analysis of FRP-reinforced masonry arches. Composites Part B: Engineering 88, 189–200.

Ziad, N. (2008) Elasto-plastic and damage modeling of reinforced concrete. PhD thesis, Louisiana State University.

Dugdale, D.S. (1960) Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids 8, 100–104.

Barenblatt, G.I. (1962) The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics 7, 55–129.

Shah, S.G., Chandra Kishen, J.M. (2010) Nonlinear fracture properties of concrete–concrete interfaces. Mechanics of Materials 42, 916–931.

Khoei, A.R., Moslemi, H., Ardakany, K.M., Barani, O.R., Azadi, H. (2009) Modeling of cohesive crack growth using an adaptive mesh refinement via the modified–SPR technique. International Journal of Fracture 159, 21–41.

Turon, A., Camanho, P.P., Costa, J., Dávila, C.G. (2006) A damage model for the simulation of delamination in advanced composites under variable-mode loading, Mechanics of Materials 38, 1072–1089.

Wells, G.N., Sluys, L.J. (2001) A new method for modelling cohesive cracks using finite elements. International Journal for Numerical Methods in Engineering 50, 2667–2682.

Gopalaratnam, V., Shah, S.P. (1985) Softening response of plain concrete in direct tension. ACI Materials Journal 82: 310–323.

Au, C., Büyüköztürk, O. (2006) Peel and shear fracture characterization of debonding in FRP plated concrete affected by moisture. Journal of Composites for Construction 10, 35–47.

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Published

2021-07-19

How to Cite

Khoei, A. R., Ahmadpour, T., & Navidtehrani, Y. (2021). An X–FEM Technique for Modeling the FRP Strengthening of Concrete Arches with a Plastic–Damage Model; Numerical and Experimental Investigations. European Journal of Computational Mechanics, 30(1), 1–50. https://doi.org/10.13052/ejcm1779-7179.3011

Issue

2021: Vol 30 Iss 1

Section

Original Article