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22nd ACME Conference on Computational Mechanics, 2-4 April, Exeter, UK. Nonlinear Analysis of Masonry Arch Bridges Using Mesoscale Partitioned Modelling. Computational Structural Mechanism Group (CSM) Departmental of Civil and Environmental Engineering Imperial College London.
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22nd ACME Conference on Computational Mechanics, 2-4 April, Exeter, UK Nonlinear Analysis of Masonry Arch Bridges Using Mesoscale Partitioned Modelling • Computational Structural Mechanism Group (CSM) • Departmental of Civil and Environmental Engineering • Imperial College London Yanyang Zhang, Lorenzo Macorini and Bassam A. Izzuddin
Outline 1 Masonry Arch Bridges 2 Mesoscale Partitioned Modelling 3 Numerical Description of Arch-fill Interaction 4 3D Mesoscale Models 5 Conclusions and Future Work
Masonry arch bridge Fill Play a crucial role in public transportation systems Belong to the engineering and architectural heritage
3D Mesoscale Description for Masonry Structures C • Brick elements • 2D nonlinear interfaces Macorini L and Izzuddin B.A.(2011)
3D Mesoscale Description of Skew Arch 3 4 2 1 Block i Block Nc
2 1 3 Partition 3 Partition 2 4 Mesoscale Partitioned Modelling for Masonry Arches Partition 1 Partition 4 Brick-masonry arch Parent structure modelling with super-elements Tow-way communication partition-parent structure Parent structure corresponding to partitioned boundary
Mesoscale Partitioned Modelling for Arch-Backfill Interaction Partition 2 The backfill 15-noded prisms Continuum domain Parent structure corresponding to partitioned boundary Communication partition-parent structure Partition 1 Brick-masonry arch 20-noded brick elements+ 16-noded interface elements Discontinued domain
Dead Load F + Live Load P Dead load F 3D Mesoscale Model ------ Masonry Square Arch F=10kN F=10kN / P=1kN mortar interfaces mortar interfaces brick interfaces 20-noded brick elements 20-noded brick elements mortar interfaces Wang J. (2004)
3D Mesoscale Model ------ Masonry Square Arch FE mesh in ADAPTIC ¾ span ¼ span Countour of plastic work of the interface elements Load-deflection curve
3D Mesoscale Model ------ Masonry Square Arch FE mesh in ADAPTIC ¾ span ¼ span Countour of plastic work of the interface elements Load-deflection curve
3D Mesoscale Model ------ Masonry Square Arch FE mesh in ADAPTIC ¾ span ¼ span Countour of plastic work of the interface elements Load-deflection curve Wang J. (2004)
3D Mesoscale Model ------ Masonry Square Arch FE mesh in ADAPTIC ¾ span ¼ span Countour of plastic work of the interface elements Load-deflection curve Wang J. (2004)
3D Mesoscale Model ------ Masonry Square Arch FE mesh in ADAPTIC ¾ span ¼ span Countour of plastic work of the interface elements Load-deflection curve Wang J. (2004)
3D Mesoscale Model ------ Masonry Skew Arch Vertical load P T9 T3 Wang J. (2004)
3D Mesoscale Model ------ Arch-Backfill Interaction Model Vertical Line load P FE mesh in ADAPTIC 16-noded interface elements for the interface between arch barrel and the backfill 16-noded interface elements For mortar joints Continuum domain with no interface elements 15-noded wedge elements for the backfill 20-noded Brick elements for brick units ADAPTIC mesoscale FE mesh (interfaces)
3D Mesoscale Model ------ Arch-Backfill Interaction Model Deformed FE mesh in ADAPTIC Countour of plastic deformation of the backfill Contour of plastic work Wcr1 at interface elements of masonry arch
Conclusions 3D mesoscale representation provides accurate description for masonry Arches bridges taken into account for the real texture of masonry. 1 When using 3D mesoscale description incorporated with the domain partitioning approach, computational efficiency is preserved. 2 In comparison with simplified modelling approach, detailed modeling approach present more precise result. 3 Full 3D model of masonry arch bridges accounted for spandrel walls will be presented in the future. 4
Nonlinear Analysis of Masonry Arches and Bridges Using Mesoscale Partitioned Modelling • THANK YOU !