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

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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

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Effectiveness of developed partitioning compared to monolithic approach demonstrated by significant speed-up and computational feasibility method

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Developed partitioning method maintains similar accuracy of detailed monolithic mesoscale method even with the reduced coupling approach

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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