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Thermal fluid-structure interaction and coupled thermal-stress analysis in a cable stayed bridge exposed to fire

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Abstract

In this paper, thermal fluid structure-interaction (TFSI) and coupled thermal-stress analysis are utilized to identify the effects of transient and steady-state heat-transfer on the vortex induced vibration and fatigue of a segmental bridge deck due to fire incidents. Numerical simulations of TFSI models of the deck are dedicated to calculate the lift and drag forces in addition to determining the lock-in regions once using fluid-structure interaction (FSI) models and another using TFSI models. Vorticity and thermal convection fields of three fire scenarios are simulated and analyzed. Simiu and Scanlan benchmark is used to validate the TFSI models, where a good agreement was manifested between the two results. Extended finite element method (XFEM) is adopted to create 3D models of the cable stayed bridge to simulate the fatigue of the deck considering three fire scenarios. Choi and Shin benchmark is used to validate the damaged models of the deck in which a good coincide was seen between them. The results revealed that TFSI models and coupled thermal-stress models are significant in detecting earlier vortex induced vibration and lock-in regions in addition to predicting damages and fatigue of the deck due to fire incidents.

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References

  1. Baba S, Kajita T, Ninomiya K. Fire Under a Long San Bridge. 13 th International Association for Bridge and Structural Engineering (IABSE) Congress, Helsinki. 6–10 June, 1988

    Google Scholar 

  2. Potgieter I C, Gamble W L. Nonlinear temperature distributions in bridges at different locations in the United States. PCI Journal, 1989, 34(4): 80–103

    Google Scholar 

  3. Bennetts I, Moinuddin K. Evaluation of the impact of potential fire scenarios on structural elements of a cable-stayed bridge. Journal of Fire Protection Engineering, 2009, 19(2): 85–106

    Google Scholar 

  4. Payá-Zaforteza I, Garlock M. A numerical investigation on the fire response of a Steel Girder Bridge. Journal of Constructional Steel Research, 2012, 75: 93–103

    Google Scholar 

  5. Garlock M, Paya-Zaforteza I, Kodur V, Gu L. Fire hazard in bridges: review, assessment and repair strategies. Engineering Structures, 2012, 35: 89–98

    Google Scholar 

  6. Zhou G D, Yi T H. Thermal load in large-scale bridges: a state-ofthe- art review. International Journal of Distributed Sensor Networks, 2013, 217983

    Google Scholar 

  7. Peris-Sayol G, Paya-Zaforteza I, Alos-Moya J. Analysis of the Response of a Steel Girder Bridge to Different Tanker Fires Depending on its Structural Boundary Conditions. 8th International Conference on Structures in Fire, Shanghai, China. 11–13 June, 2014

    Google Scholar 

  8. Braxtan N L, Wang Q, Whitney R, Koch G. Numerical Analysis of a Composite Steel Box Girder Bridge in Fire. Applications of Structural Fire Engineering, Dubrovnic, Croatia. 15–16 October, 2015

    Google Scholar 

  9. Zhou L, Xia Y, Brownjohn JMW, Koo K Y. Temperature analysis of a long-span suspension bridge based on field monitoring and numerical simulation. Journal of Bridge Engineering, 2016, 21(1): 04015027

    Google Scholar 

  10. Kodur V K, Agrawal A. Critical factors governing the residual response of reinforced concrete beams exposed to fire. Fire Technology, 2016, 52(4): 967–993

    Google Scholar 

  11. Schumacher J. Assessment of Bridge-Structures Under Fired Impact: A Case Study Approach. Dissertation for M.Sc. degree. University of Rhode Island, Kingston, USA. 2016

    Google Scholar 

  12. Choi J. Concurrent Fire Dynamics Models and Thermo-Mechanical Analysis of Steel and Concrete Structures. Dissertation for PhD degree. Georgia Institute of Technology, Georgia, USA. 2008

    Google Scholar 

  13. Giuliani L, Crosti C, Gentili F. Vulnerability of Bridges to Fire. Proceedings of the 6th International Conference on Bridge Maintenance, Safety and Management (IABMAS), Stresa, Lake Maggiore, Italy. 8–12 July, 2012

    Google Scholar 

  14. Wright W, Lattimer B, Woodworth M, Nahid M, Sotelino E. Highway Bridge Fire Hazard Assessment, Blacksburg, VA, USA: Virginia Polytechnic Institute and State University. 2013

    Google Scholar 

  15. Dotreppe J C, Majkut S, Franssen J M. Failure of a tied-arch bridge submitted to a severe localized fire. Structures and Extreme Events, IABSE Symposium, Budapest, Hungary, September 2006, 92, 272–273

    Google Scholar 

  16. Kodur V, Aziz E, Dwaikat M. Evaluating fire resistance of steel girders in bridges. Journal of Bridge Engineering, 2013, 18(7): 633–643

    Google Scholar 

  17. Zhuang X, Huang R, Liang C, Rabczuk T. A coupled thermohydro- mechanical model of jointed hard rock for compressed air energy storage. Mathematical Problems in Engineering, 2014, 2014: 179169

    Google Scholar 

  18. Rabizadeh E, Bagherzadeh A S, Rabczuk T. Goal-oriented error estimation and adaptive mesh refinement in dynamic coupled thermoelasticity. Computers & Structures, 2016, 173: 187–211

    Google Scholar 

  19. Amiri F, Millan D, Arroyo M, Silani M, Rabczuk T. Fourth order phase-field model for local max-ent approximants applied to crack propagation. Computer Methods in Applied Mechanics and Engineering, 2016, 312(C): 254–275

    MathSciNet  Google Scholar 

  20. Amiri F, Millán D, Shen Y, Rabczuk T, Arroyo M. Phase-field modeling of fracture in linear thin shells. Theoretical and Applied Fracture Mechanics, 2014, 69: 102–109

    Google Scholar 

  21. Rabczuk T, Belytschko T, Xiao S P. Stable particle methods based on Lagrangian kernels. Computer Methods in Applied Mechanics and Engineering, 2004, 193(12–14): 1035–1063

    MathSciNet  MATH  Google Scholar 

  22. Rabczuk T, Belytschko T. Adaptivity for structured meshfree particle methods in 2D and 3D. International Journal for Numerical Methods in Engineering, 2005, 63(11): 1559–1582

    MathSciNet  MATH  Google Scholar 

  23. Vu-Bac N, Nguyen-Xuan H, Chen L, Lee C K, Zi G, Zhuang X, Liu G R, Rabczuk T. A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics. Journal of Applied Mathematics, 2013, 2013: 978026

    MathSciNet  MATH  Google Scholar 

  24. Chau-Dinh T, Zi G, Lee P S, Rabczuk T, Song J H. Phantom-node method for shell models with arbitrary cracks. Computers & Structures, 2012, 92–93: 242–256

    Google Scholar 

  25. Rabczuk T, Zi G, Gerstenberger A, Wall W A. A new crack tip element for the phantom node method with arbitrary cohesive cracks. International Journal for Numerical Methods in Engineering, 2008, 75(5): 577–599

    MATH  Google Scholar 

  26. Rabczuk T, Belytschko T. Application of particle methods to static fracture of reinforced concrete structures. International Journal of Fracture, 2006, 137(1–4): 19–49

    MATH  Google Scholar 

  27. Rabczuk T, Areias P M A. A meshfree thin shell for arbitrary evolving cracks based on an external enrichment. CMESComputer Modeling in Engineering and Sciences, 2000, 1(1): 11–26

    Google Scholar 

  28. Rabczuk T, Bordas S, Zi G. A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics. Computational Mechanics, 2007, 40(3): 473–495

    MATH  Google Scholar 

  29. Zi G, Rabczuk T, Wall W A. Extended meshfree methods without branch enrichment for cohesive cracks. Computational Mechanics, 2007, 40(2): 367–382

    MATH  Google Scholar 

  30. Rabczuk T, Zi G. A meshfree method based on the local partition of unity for cohesive cracks. Computational Mechanics, 2007, 39(6): 743–760

    MATH  Google Scholar 

  31. Rabczuk T, Areias P M A, Belytschko T. A meshfree thin shell method for nonlinear dynamic fracture. International Journal for Numerical Methods in Engineering, 2007, 72(5): 524–548

    MathSciNet  MATH  Google Scholar 

  32. Bordas S, Rabczuk T, Zi G. Three-dimensional crack initiation, propagation, branching and junction in non-linear materials by an extended meshfree methods without asymptotic enrichment. Engineering Fracture Mechanics, 2008, 75(5): 943–960

    Google Scholar 

  33. Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A geometrically nonlinear three dimensional cohesive crack method for reinforced concrete structures. Engineering Fracture Mechanics, 2008, 75(16): 4740–4758

    Google Scholar 

  34. Rabczuk T, Bordas S, Zi G. On three-dimensional modelling of crack growth using partition of unity methods. Computers & Structures, 2010, 88(23–24): 1391–1411

    Google Scholar 

  35. Amiri F, Anitescu C, Arroyo M, Bordas S, Rabczuk T. XLME interpolants, a seamless bridge between XFEM and enriched meshless methods. Computational Mechanics, 2014, 53(1): 45–57

    MathSciNet  MATH  Google Scholar 

  36. Areias P, Rabczuk T, Msekh M. Phase-field analysis of finite-strain plates and shells including element subdivision. Computer Methods in Applied Mechanics and Engineering, 2016, 312(C): 322–350

    MathSciNet  Google Scholar 

  37. Areias P, Reinoso J, Camanho P, Rabczuk T. A constitutive-based element-by-element crack propagation algorithm with local mesh refinement. Computational Mechanics, 2015, 56(2): 291–315

    MathSciNet  MATH  Google Scholar 

  38. Areias P, Rabczuk T, Dias-da-Costa D. Element-wise fracture algorithm based on rotation of edges. Engineering Fracture Mechanics, 2013, 110: 113–137

    Google Scholar 

  39. Areias P, Rabczuk T, Camanho P P. Initially rigid cohesive laws and fracture based on edge rotations. Computational Mechanics, 2013, 52(4): 931–947

    MATH  Google Scholar 

  40. Areias P, Rabczuk T. Finite strain fracture of plates and shells with configurational forces and edge rotation. International Journal for Numerical Methods in Engineering, 2013, 94(12): 1099–1122

    MathSciNet  MATH  Google Scholar 

  41. Areias P, Rabczuk T, de Sá J C. A novel two-stage discrete crack method based on the screened Poisson equation and local mesh refinement. Computational Mechanics, 2016, 58(6): 1003–1018

    MathSciNet  MATH  Google Scholar 

  42. Areias P, Msekh M A, Rabczuk T. Damage and fracture algorithm using the screened Poisson equation and local remeshing. Engineering Fracture Mechanics, 2016, 158: 116–143

    Google Scholar 

  43. Rabczuk T, Belytschko T. Cracking particles: a simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343

    MATH  Google Scholar 

  44. Rabczuk T, Areias PMA. A new approach for modelling slip lines in geological materials with cohesive models. International Journal for Numerical and Analytical Methods in Engineering, 2006, 30(11): 1159–1172

    MATH  Google Scholar 

  45. Rabczuk T, Belytschko T. A three dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29–30): 2777–2799

    MathSciNet  MATH  Google Scholar 

  46. Rabczuk T, Areias P M A, Belytschko T. A simplified meshfree method for shear bands with cohesive surfaces. International Journal for Numerical Methods in Engineering, 2007, 69(5): 993–1021

    MATH  Google Scholar 

  47. Rabczuk T, Samaniego E. Discontinuous modelling of shear bands using adaptive meshfree methods. Computer Methods in Applied Mechanics and Engineering, 2008, 197(6–8): 641–658

    MathSciNet  MATH  Google Scholar 

  48. Rabczuk T, Zi G, Bordas S, Nguyen-Xuan H. A simple and robust three dimensional cracking-particle method without enrichment. Computer Methods in Applied Mechanics and Engineering, 2010, 199(37–40): 2437–2455

    MATH  Google Scholar 

  49. Areias P M A, Rabczuk T, Camanho P P. Finite strain fracture of 2D problems with injected anisotropic softening elements. Theoretical and Applied Fracture Mechanics, 2014, 72: 50–63

    Google Scholar 

  50. Thai T Q, Rabczuk T, Bazilevs Y, Meschke G. A higher-order stress-based gradient-enhanced damage model based on isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 2016, 304: 584–604

    MathSciNet  Google Scholar 

  51. Ghorashi S, Valizadeh N, Mohammadi S, Rabczuk T. T-spline based XIGA for fracture analysis of orthotropic media. Computers & Structures, 2015, 147: 138–146

    Google Scholar 

  52. Jia Y, Anitescu C, Ghorashi S, Rabczuk T. Extended isogeometric analysis for material interface problems. IMA Journal of Applied Mathematics, 2015, 80(3): 608–633

    MathSciNet  MATH  Google Scholar 

  53. Nguyen-Thanh N, Valizadeh N, Nguyen M N, Nguyen-Xuan H, Zhuang X, Areias P, Zi G, Bazilevs Y, De Lorenzis L, Rabczuk T. An extended isogeometric thin shell analysis based on Kirchhoff- Love theory. Computer Methods in Applied Mechanics and Engineering, 2015, 284: 265–291

    MathSciNet  MATH  Google Scholar 

  54. Budarapu P, Gracie R, Bordas S, Rabczuk T. An adaptive multiscale method for quasi-static crack growth. Computational Mechanics, 2014, 53(6): 1129–1148

    Google Scholar 

  55. Budarapu P, Gracie R, Yang SW, Zhuang X, Rabczuk T. Efficient coarse graining in multiscale modeling of fracture. Theoretical and Applied Fracture Mechanics, 2014, 69: 126–143

    Google Scholar 

  56. Silani M, Talebi H, Hamouda A S, Rabczuk T. Nonlocal damage modelling in clay/epoxy nanocomposites using a multiscale approach. Journal of Computational Science, 2016, 15: 18–23

    Google Scholar 

  57. Talebi H, Silani M, Rabczuk T. Concurrent multiscale modelling of three dimensional crack and dislocation propagation. Advances in Engineering Software, 2015, 80: 82–92

    Google Scholar 

  58. Silani M, Ziaei-Rad S, Talebi H, Rabczuk T. A semi-concurrent multiscale approach for modeling damage in nanocomposites. Theoretical and Applied Fracture Mechanics, 2014, 74: 30–38

    Google Scholar 

  59. Talebi H, Silani M, Bordas S, Kerfriden P, Rabczuk T. A computational library for multiscale modelling of material failure. Computational Mechanics, 2014, 53(5): 1047–1071

    MathSciNet  Google Scholar 

  60. Talebi H, Silani M, Bordas S P A, Kerfriden P, Rabczuk T. Molecular dynamics/XFEM coupling by a three-dimensional extended bridging domain with applications to dynamic brittle fracture. International Journal for Multiscale Computational Engineering, 2013, 11(6): 527–541

    Google Scholar 

  61. Amani J, Oterkus E, Areias PMA, Zi G, Nguyen-Thoi T, Rabczuk T. A non-ordinary state-based peridynamics formulation for thermoplastic fracture. International Journal of Impact Engineering, 2016, 87: 83–94

    Google Scholar 

  62. Ren H, Zhuang X, Rabczuk T. Dual-horizon peridynamics: a stable solution to varying horizons. Computer Methods in Applied Mechanics and Engineering, 2017, 318: 762–782

    MathSciNet  Google Scholar 

  63. Ren H, Zhuang X, Cai Y, Rabczuk T. Dual-Horizon Peridynamics. International Journal for Numerical Methods in Engineering, 2016, 108(12): 1451–1476

    MathSciNet  Google Scholar 

  64. Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31

    Google Scholar 

  65. Vu-Bac N, Rafiee R, Zhuang X, Lahmer T, Rabczuk T. Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters. Composites. Part B, Engineering, 2015, 68: 446–464

    Google Scholar 

  66. Nanthakumar S, Valizadeh N, Park H, Rabczuk T. Surface effects on shape and topology optimization of nanostructures. Computational Mechanics, 2015, 56(1): 97–112

    MathSciNet  MATH  Google Scholar 

  67. Ghasemi H, Park H S, Rabczuk T. A level-set based IGA formulation for topology optimization of exoelectric materials. Computer Methods in Applied Mechanics and Engineering, 2017, 313: 239–258

    MathSciNet  Google Scholar 

  68. Anitescu C, Jia Y, Zhang Y, Rabczuk T. An isogeometric collocation method using superconvergent points. Computer Methods in Applied Mechanics and Engineering, 2015, 284: 1073–1097

    MathSciNet  MATH  Google Scholar 

  69. Chan C L, Anitescu C, Rabczuk T. Volumetric parametrization from a level set boundary representation with a PHT-splines. Computer Aided Design, 2017, 82: 29–41

    MathSciNet  Google Scholar 

  70. Nguyen V P, Anitescu C, Bordas S P A, Rabczuk T. Isogeometric analysis: an overview and computer implementation aspects. Mathematics and Computers in Simulations, 2015, 117, art. no. 4190, 89–116

    MathSciNet  Google Scholar 

  71. Valizadeh N, Bazilevs Y, Chen J S, Rabczuk T. A coupled IGAmeshfree discretization of arbitrary order of accuracy and without global geometry parameterization. Computer Methods in Applied Mechanics and Engineering, 2015, 293: 20–37

    MathSciNet  Google Scholar 

  72. Nanthakumar S S, Lahmer T, Rabczuk T. Detection of flaws in piezoelectric structures using extended FEM. International Journal for Numerical Methods in Engineering, 2013, 96(6): 373–389

    MathSciNet  MATH  Google Scholar 

  73. Vu-Bac N, Duong T X, Lahmer T, Zhuang X, Sauer R A, Park H S, Rabczuk T. A NURBS-based inverse analysis for reconstruction of nonlinear deformations in thin shell structures. Computer Methods in Applied Mechanics and Engineering, 2017, https://doi.org/10.1016/j.cma.2017.09.034

    Google Scholar 

  74. Anitescu C, Hossain N, Rabczuk T. Recovery-based error estimation and adaptivity using high-order splines over hierarchical T-meshes. Computer Methods in Applied Mechanics and Engineering, 2018, 324: 638–662

    MathSciNet  Google Scholar 

  75. Msekh M A, Nguyen-Cuong H, Zi G, Areias P, Zhuang X, Rabczuk T. Fracture properties prediction of clay/epoxy nanocomposites with interphase zones using a phase field model. Engineering Fracture Mechanics, 2017, https://10.1016/j.engfracmech.2017.08.002

    Google Scholar 

  76. Rabczuk T, Ren H. A peridynamics formulation for quasi-static fracture and contact in rock. Engineering Geology, 2017, 225: 42–48

    Google Scholar 

  77. Hamdia K, Silani M, Zhuang X, He P, Rabczuk T. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture, 2017, 206(2): 215–227

    Google Scholar 

  78. Areias P, Rabczuk T. Steiner-point free edge cutting of tetrahedral meshes with applications in fracture. Finite Elements in Analysis and Design, 2017, 132: 27–41

    Google Scholar 

  79. Rabczuk T, Gracie R, Song J H, Belytschko T. Immersed particle method for fluid-structure interaction. International Journal for Numerical Methods in Engineering, 2010, 81(1): 48–71

    MathSciNet  MATH  Google Scholar 

  80. Carstensen J V. Material Modelling of Reinforced Concrete at Elevated Temperatures. Dissertation for M.Sc degree. Department of Civil Engineering, Technical University of Denmark, Lyngby, Denmark. 2011

    Google Scholar 

  81. Sangluaia C, Haridharan M K, Natarajan C, Rajaraman A. Behaviour of reinforced concrete slab subjected to fire. International Journal of Computational Engineering Research, 2013, 3(1): 195–206

    Google Scholar 

  82. Babu N R C, Haridharan M K, Natarajan C. Temperature distribution in concrete slabs exposed to elevated temperature. International Journal of Engineering Science Invention, 2014, 3(3): 35–43

    Google Scholar 

  83. Palmklint E, Svensson M. Thermal and Mechanical Response of Composite Slabs Exposed to Travelling Fire. Dissertation for M. Sc. degree. Department of Civil, Environmental and Natural Resources Engineering, Lulea University of Technology, Lulea, Sweden. 2016

    Google Scholar 

  84. Nakne J K D. FE-Analysis of a Beam-Column Connection in Composite Structures exposed to Fire. Dissertation for M.Sc. degree. Department of Civil and Environmental Engineering, Chalmers University of Technology. Chalmers, Sweden, 2011

    Google Scholar 

  85. Allam S M, Elbakry H M F, Rabeai A G. Behavior of one-way reinforced concrete slabs subjected to fire. Alexandria Engineering Journal, 2013, 52(4): 749–761

    Google Scholar 

  86. Patade H K, Chakrabarti M A. Thermal stress analysis of beam subjected to fire. Journal of Engineering Research and Applications, 2013, 3(5): 420–424

    Google Scholar 

  87. Ab Kadir M A. Fire Resistance of Earthquake Damaged Reinforced Concrete Frames. Dissertation for PhD degree. The University of Edinburgh, Edinburgh, UK. 2013

    Google Scholar 

  88. Elbadry MM, Ghali A. Temperature variations in concrete bridges. Journal of Structural Engineering, 1983, 109(10): 2355–2374

    Google Scholar 

  89. Lienhard J, Lienhard J. A Heat Transfer Textbook (3rd ed). Cambridge: Phlogiston Press. 2003

    MATH  Google Scholar 

  90. Choi J, Haj-Ali R, Kim H S. Integrated fire dynamic and thermomechanical modeling of a bridge under fire. Structural Engineering and Mechanics, 2012, 42(5): 815–829

    Google Scholar 

  91. Pironkov P. Numerical Simulation of Thermal Fluid-Structure-Interaction. Dissertation for PhD degree. Department of Mechanical Engineering, Technische Universitat Darmstadt, Darmstadt, Germany. 2010

    MATH  Google Scholar 

  92. Grilli M, Hickel S, Adams N A. An innovative approach to thermofluid- structure interaction based on an immersed interface method and a monolithic thermo-structure interaction algorithm. 42nd AIAA Fluid Dynamics Conference and Exhibit. Louisiana, USA. 25–28 June, 2012

    Google Scholar 

  93. Yin L, Jiang J, Chen L. A monolithic solution procedure for a thermal fluid-structure interaction system of thermal shock. Procedia Engineering, 2012, 31: 1131–1139

    Google Scholar 

  94. Gleim T, Birken P, Weiland M, Kuhl D, Meister A, Wunsch O. Thermal fluid-structure-interaction–Experimental and numerical analysis. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Greece. 22–28 September, 2014

    Google Scholar 

  95. Birken P, Gleim T, Kuhl D, Meister A. Fast solvers for unsteady thermal fluid structure interaction. International Journal for Numerical Methods in Fluids, 2015, 79(1): 16–29

    MathSciNet  Google Scholar 

  96. Talebi E, Tahir M, Zahmatkesh F, Kueh A B H. Fire response of a 3D multi-storey building with buckling restrained braces. Latin American Journal of Solids and Structures, 2015, 12(11): 2118–2142

    Google Scholar 

  97. Stratford T, Dhakal R P. Spalling of Concrete: Implications for Structural Performance in Fire. 20th Australasian Conference on Mechanics of Structure and Materials, Toowoomba, Australia. 2–5 December, 2008

    Google Scholar 

  98. Bo S. Finite Element Simulation of Fire Induced Spalling in High Strength Concrete Slabs. Dissertation for M.Sc. degree. Department of Civil and Environmental Engineering, Lehigh University, Pennsylvania, USA. 2011

    Google Scholar 

  99. Ervine A. Damaged Reinforced Concrete Structures in Fire. Dissertation for PhD degree. Department of Civil Engineering, University of Edinburgh, Edinburgh, UK. 2012

    Google Scholar 

  100. Chung C H, Im C R, Park J. Structural test and analysis of RC slab after fire loading. Nuclear Engineering and Technology, 2013, 45(2): 223–236

    Google Scholar 

  101. Mueller K A, Kurama Y C. (2014). Through-thickness thermal behavior of two RC bearing walls under fire. Structures Congress, 2014, 1159–1169

    Google Scholar 

  102. Klingsch E W H. Explosive Spalling of Concrete in Fire. Dissertation for PhD degree. Institute of Structural Engineering, ETH Zurich, Zurch, Switzerland. 2014

    Google Scholar 

  103. Khoury G A. Effect of fire on concrete and concrete structures. Progress in Structural Engineering and Materials, 2000, 2(4): 429–447

    Google Scholar 

  104. Akhtaruzzaman A A, Sullivan P J. Explosive spalling of concrete exposed to high temperature. Concrete Structures and Technology Research Report. London, Imperial. 1970

    Google Scholar 

  105. Choi E G, Shin Y S. The structural behavior and simplified thermal analysis of normal-strength and high-strength concrete beams under fire. Engineering Structures, 2011, 33(4): 1123–1132

    Google Scholar 

  106. Alos-Moya J, Paya-Zaforteza I, Garlock M, Loma-Ossorio E, Schiffner D, Hospitaler A. Analysis of a bridge failure due to fire using computational fluid dynamics and finite element models. Engineering Structures, 2014, 68: 96–110

    Google Scholar 

  107. Braxtan N L, Whitney R, Wang Q, Koch G. Preliminary investigation of composite steel box girder bridges in fire. Bridge Structures (Abingdon), 2015, 11(3): 105–114

    Google Scholar 

  108. Nariman N A. Control efficiency optimization and Sobol’s sensitivity indices of MTMDs design parameters for buffeting and flutter vibrations in a cable stayed bridge. Frontiers of Structural and Civil Engineering, 2017, 11(1): 66–89

    Google Scholar 

  109. Nariman N A. Influence of fluid-structure interaction on vortex induced vibration and lock-in phenomena in long span bridges. Frontiers of Structural and Civil Engineering, 2016, 10(4): 363–384

    Google Scholar 

  110. Nariman N A. A novel structural modification to eliminate the early coupling between bending and torsional mode shapes in a cable stayed bridge. Frontiers of Structural and Civil Engineering, 2017, 11(2): 131–142

    Google Scholar 

  111. Nariman N A. Kinetic Energy Based Model Assessment and Sensitivity Analysis of Vortex Induced Vibration of Segmental Bridge Decks. Frontiers of Structural and Civil Engineering, 2017, https://doi.org/10.1007/s11709-017-0435-5

    Google Scholar 

  112. Nariman N A. Aerodynamic stability parameters optimization and global sensitivity analysis for a cable stayed bridge. KSCE Journal of Civil Engineering, 2016, https://doi.org/10.1007/s12205-016-0962-y

    Google Scholar 

  113. Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering, 1999, 45(5): 601–620

    MATH  Google Scholar 

  114. Dolbow J. An extended finite element method with discontinuous enrichment for applied mechanics. Dissertation for PhD degree. Northwestern University, Illinois, USA. 1999

    Google Scholar 

  115. Dolbow J, Moës N, Belytschko T. Discontinuous enrichment infinite elements with a partition of unity method. Finite Elements in Analysis and Design, 2000, 36(3–4): 235–260

    MATH  Google Scholar 

  116. Moës N, Dolbow J, Belytschko T. A finite element method for crack growth without remeshing. International Journal for Numerical Methods in Engineering, 1999, 46: 131–150

    MATH  Google Scholar 

  117. Sukumar N, Moës N, Moran B, Belytschko T. Extended finite element method for three dimensional crack modelling. International Journal for Numerical Methods in Engineering, 2000, 48: 1549–1570

    MATH  Google Scholar 

  118. Belytschko T, Moës N, Usui S, Parimi C. Arbitrary discontinuities in finite elements. International Journal for Numerical Methods in Engineering, 2001, 50: 993–1013

    MATH  Google Scholar 

  119. Stolarska M, Chopp D L, Moës N, Belytschko T. Modelling crack growth by level sets in the extended finite element method. International Journal for Numerical Methods in Engineering, 2001, 51(8): 943–960

    MATH  Google Scholar 

  120. Osher S, Sethian J. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics, 1988, 79(1): 12–49

    MathSciNet  MATH  Google Scholar 

  121. Ventura G, Budyn E, Belytschko T. Vector level sets for description of propagating crack in finite elements. International Journal for Numerical Methods in Engineering, 2003, 58(10): 1571–1592

    MATH  Google Scholar 

  122. McNary M J. Implementation of the Extended Finite Element Method XFEM in the ABAQUS software Package. Dissertation for MSc degree. Department of mechanical engineering, Georgia Institute of Technology, Georgia, USA. 2009

    Google Scholar 

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  1. Institute of Structural Mechanics, Faculty of Civil Engineering, Bauhaus Universitat Weimar, Marienstrasse 15, 99423, Weimar, Germany

    Nazim Abdul Nariman

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  1. Nazim Abdul Nariman
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Nariman, N.A. Thermal fluid-structure interaction and coupled thermal-stress analysis in a cable stayed bridge exposed to fire. Front. Struct. Civ. Eng. 12, 609–628 (2018). https://doi.org/10.1007/s11709-018-0452-z

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