XI International Conference on COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS COMPLAS XI 7-9 September 2011 Barcelona - Spain Multiscale Modelling of Masonry Structures under Extreme Loading B.
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XI International Conference on COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS
COMPLAS XI
7-9 September 2011 Barcelona - Spain
Multiscale Modelling of Masonry Structures under Extreme Loading B A Izzuddin and L Macorini
Department of Civil and Environmental Engineering Imperial College London, UK
Outline
Advanced models for brick-masonry
Multiscale modelling approaches
3D mesoscale model for nonlinear analysis
Domain partitioning approach
Conclusions
Multiscale Modelling of Masonry Structures under Extreme Loading
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Advanced models for brick-masonry
Structural scale Macroscale model
Equivalent material approach
Mesoscale scale Microscale scale
Multiscale Modelling of Masonry Structures under Extreme Loading
Mesoscale model
Two-material approach
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Advanced models for brick-masonry
Macroscale model
Equivalent material approach
Identification of material properties for macro-model
Multiscale Modelling of Masonry Structures under Extreme Loading
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Multiscale approaches for masonry Basic cell (RVE) Homogenisation Homogenised continuum •
Homogenisation approach
•
Nested multiscale - FE 2 approach (
Massart, 2007)
Multiscale Modelling of Masonry Structures under Extreme Loading
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Multiscale approaches for masonry
FE 2 approach
Not effective for representing masonry when: • complex texture (multi-leaf masonry etc.) • the characteristic length of FEs at structural scale and RVE linear dimension are close
Multiscale Modelling of Masonry Structures under Extreme Loading
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Mesoscale partitioned modelling An advanced 3D mesoscale model incorporated into a multi-scale formulation
Structural scale Mesoscale
•
Partitioning approach with macro-elements for masonry
•
Parallel computing 3D brick/2D interface elements
Multiscale Modelling of Masonry Structures under Extreme Loading
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Mesoscale partitioned modelling An advanced 3D mesoscale model incorporated into a multi-scale formulation
Multiscale Modelling of Masonry Structures under Extreme Loading
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3D mesoscale model for nonlinear analysis under extreme loading
2D nonlinear interface element C Compression test Shear test
Multiscale Modelling of Masonry Structures under Extreme Loading
• Multi-surface nonassociated s s c plasticity t s <0 s • Geometric nonlinearity s G f,II f,I G c u z s tan f s u x(y) t
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3D mesoscale model for nonlinear analysis under extreme loading
In-plane behaviour Vermeltfoort AT, Raijmakers TMJ (1993) J4D mortar interface brick interface J5D mortar interface p v =0.3 MPa
Multiscale Modelling of Masonry Structures under Extreme Loading
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3D mesoscale model for nonlinear analysis under extreme loading
In-plane behaviour Vermeltfoort AT, Raijmakers TMJ (1993) Wpl1 Wpl2 p v =0.3 MPa J4D J5D
Multiscale Modelling of Masonry Structures under Extreme Loading
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3D mesoscale model for nonlinear analysis under extreme loading
In-plane behaviour Vermeltfoort AT, Raijmakers TMJ (1993) Wpl1 Wpl2
Nonlinear Analysis of Masonry Structures using Mesoscale Partitioned Modelling
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3D mesoscale model for nonlinear analysis under extreme loading
Out-of-plane behaviour Chee Liang, N.G. (1996)
Multiscale Modelling of Masonry Structures under Extreme Loading
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3D mesoscale model for nonlinear analysis under extreme loading
Mesoscale analysis of large specimens Gattesco, Macorini, Noè(2008)
Multiscale Modelling of Masonry Structures under Extreme Loading
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Partitioning approach: full coupling
MPI
Communication between parent structure and partitions
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Domain partitioning approach
Performance of domain partitioning approach 20 12 8 4 0 0 P2 m P4 P8 P16 P32 S i T m T Pi 20 40 60 P64 80 Monolitic model Partition Parent Structure m 46080 P2 23040 384 P4 11530 756 P8 5760 1500 P16 2880 2232 P32 1440 3672 Number of nodes for the parent structure and for each partition P64 720 4996
Multiscale Modelling of Masonry Structures under Extreme Loading
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Domain partitioning approach
Detailed analysis of large structures 162840 nodes – 62 partitions
Multiscale Modelling of Masonry Structures under Extreme Loading
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Partitioning approach: reduced coupling •
Reduced freedoms at parent level via master-slave coupling
•
Reduced parent computation and communication
Multiscale Modelling of Masonry Structures under Extreme Loading
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Effectiveness of reduced coupling
mod1 mod2
Multiscale Modelling of Masonry Structures under Extreme Loading
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F h Effectiveness of reduced coupling p v 4 partitions
Elastic analysis Time
mod1 58.56 s mod2 40.59 s
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F h Effectiveness of reduced coupling p v Plastic work (interfaces) at peak load mod1 mod2 4 partitions
Nonlinear analysis Time
mod1 1303.9 s mod2 978.59 s
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Conclusions
Accurate multiscale numerical method for brick masonry using domain partitioning at structural scale with an accurate model at mesoscale
Effectiveness of developed partitioning compared to monolithic approach demonstrated by significant speed-up and computational feasibility method
Developed partitioning method maintains similar accuracy of detailed monolithic mesoscale method even with the reduced coupling approach
Multiscale Modelling of Masonry Structures under Extreme Loading
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Acknowledgements
7th European Community Framework Programme, Marie Curie Intra-European Fellowship
High Performance Computing Services, Imperial College London
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XI International Conference on COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS
COMPLAS XI
7-9 September 2011 Barcelona - Spain
Multiscale Modelling of Masonry Structures under Extreme Loading B A Izzuddin and L Macorini
Department of Civil and Environmental Engineering Imperial College London, UK