XI International Conference on XI International Conference on COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS
COMPLAS XI COMPLAS XI 7-9 September 2011 Barcelona - Spain7-9 September 2011 Barcelona - Spain
Multiscale Modelling of Masonry Structures Multiscale Modelling of Masonry Structures under Extreme Loadingunder Extreme Loading
B A Izzuddin and L Macorini
Department of Civil and Environmental EngineeringImperial College London, UK
OutlineOutline
Advanced models for brick-masonryAdvanced models for brick-masonry
Multiscale modelling approachesMultiscale modelling approaches
Domain partitioning approachDomain partitioning approach
Multiscale Modelling of Masonry Structures under Extreme Loading 2/232/23
3D mesoscale model for nonlinear analysis3D mesoscale model for nonlinear analysis
ConclusionsConclusions
Macroscale model Macroscale model Equivalent material Equivalent material
approachapproach
Mesoscale modelMesoscale modelTwo-material approachTwo-material approach
Structural Structural scalescale
Mesoscale Mesoscale scalescale
Microscale Microscale scalescale
Advanced models for brick-masonryAdvanced models for brick-masonry
Multiscale Modelling of Masonry Structures under Extreme Loading 3/233/23
Macroscale model Macroscale model Equivalent material Equivalent material
approachapproach
Identification of material properties for macro-modelIdentification of material properties for macro-model
Advanced models for brick-masonryAdvanced models for brick-masonry
Multiscale Modelling of Masonry Structures under Extreme Loading 4/234/23
Multiscale approaches for masonryMultiscale approaches for masonry
• Homogenisation Homogenisation approachapproach
• Nested multiscale - FENested multiscale - FE22
approachapproach
Basic cell (RVE) Homogenised continuum
Homogenisation
Multiscale Modelling of Masonry Structures under Extreme Loading 5/235/23
(Massart, 2007)
Multiscale approaches for masonryMultiscale approaches for masonry
Multiscale Modelling of Masonry Structures under Extreme Loading 6/236/23
Not effective for representing masonry when:Not effective for representing masonry when:
• the characteristic length of FEs at structural scale and RVE linear dimension are closethe characteristic length of FEs at structural scale and RVE linear dimension are close
• complex texture (multi-leaf masonry etc.)complex texture (multi-leaf masonry etc.)
FE2
approach
Mesoscale partitioned modellingMesoscale partitioned modelling
Structural scaleStructural scale
3D brick/2D interface elements3D brick/2D interface elements
An advanced 3D An advanced 3D mesoscale modelmesoscale model incorporated into a multi-scale formulation incorporated into a multi-scale formulation
• Partitioning approach with macro-elements for masonryPartitioning approach with macro-elements for masonry
• Parallel computingParallel computing
Multiscale Modelling of Masonry Structures under Extreme Loading 7/237/23
MesoscaleMesoscale
Mesoscale partitioned modellingMesoscale partitioned modellingAn advanced 3D An advanced 3D mesoscale model mesoscale model incorporated into a multi-scale formulationincorporated into a multi-scale formulation
Multiscale Modelling of Masonry Structures under Extreme Loading 8/238/23
2D nonlinear interface element2D nonlinear interface element
<0
Gf,II
ux(y)
tan
C
Gf,I
uz
t
c
uz
Gc
3D mesoscale model for nonlinear analysis under extreme loading3D mesoscale model for nonlinear analysis under extreme loading
Shear testShear test
Compression testCompression test
• Multi-surface nonassociatedMulti-surface nonassociated plasticityplasticity
• Geometric nonlinearity Geometric nonlinearity
Multiscale Modelling of Masonry Structures under Extreme Loading 9/239/23
In-plane behaviourIn-plane behaviourVermeltfoort AT, Raijmakers TMJ (1993)Vermeltfoort AT, Raijmakers TMJ (1993)
J4DJ4D J5DJ5D
pv=0.3 MPamortar mortar
interfaceinterface
mortar interfacemortar interface
brick brick interfaceinterface
3D mesoscale model for nonlinear analysis under extreme loading3D mesoscale model for nonlinear analysis under extreme loading
Multiscale Modelling of Masonry Structures under Extreme Loading 10/2310/23
In-plane behaviourIn-plane behaviourVermeltfoort AT, Raijmakers TMJ (1993)Vermeltfoort AT, Raijmakers TMJ (1993)
J4DJ4D J5DJ5D
Wpl1Wpl1Wpl1Wpl1
Wpl2
pv=0.3 MPa
3D mesoscale model for nonlinear analysis under extreme loading3D mesoscale model for nonlinear analysis under extreme loading
Multiscale Modelling of Masonry Structures under Extreme Loading 11/2311/23
In-plane behaviourIn-plane behaviourVermeltfoort AT, Raijmakers TMJ (1993)Vermeltfoort AT, Raijmakers TMJ (1993)
Wpl1Wpl1
Wpl2Wpl2
Nonlinear Analysis of Masonry Structures using Mesoscale Partitioned Modelling 12/2312/23
3D mesoscale model for nonlinear analysis under extreme loading3D mesoscale model for nonlinear analysis under extreme loading
Out-of-plane behaviourOut-of-plane behaviourChee Liang, N.G. (1996)Chee Liang, N.G. (1996)
Wpl1Wpl1Wpl1Wpl1Wpl1Wpl1
3D mesoscale model for nonlinear analysis under extreme loading3D mesoscale model for nonlinear analysis under extreme loading
Multiscale Modelling of Masonry Structures under Extreme Loading 13/2313/23
Mesoscale analysis of large specimensMesoscale analysis of large specimens
Gattesco, Macorini, Noè(2008)Gattesco, Macorini, Noè(2008)
3D mesoscale model for nonlinear analysis under extreme loading3D mesoscale model for nonlinear analysis under extreme loading
Multiscale Modelling of Masonry Structures under Extreme Loading 14/2314/23
Partitioning approach: full couplingPartitioning approach: full coupling
Communication between parent structure and partitionsCommunication between parent structure and partitions
MPIMPI
Multiscale Modelling of Masonry Structures under Extreme Loading 15/2315/23
Performance of domain partitioning approachPerformance of domain partitioning approach
0 2 0 4 0 6 0 8 0
P ro cess in g e lem en ts - n
0
4
8
1 2
1 6
2 0
Spe
ed-u
p -
SmP 2
P 4
P 8
P 1 6 P 3 2
P 6 4
m P2 P4 P8 P16 P32 P64Partition - 23040 11530 5760 2880 1440 720Parent
Structure46080 384 756 1500 2232 3672 4996
Number of nodes for the parent structure and for each partition
mi
Pi
TS
T
Monolitic modelMonolitic model Model with partitioningModel with partitioning
Accuracy of the methodAccuracy of the method
Domain partitioning approachDomain partitioning approach
Multiscale Modelling of Masonry Structures under Extreme Loading 16/2316/23
Detailed analysis of large structuresDetailed analysis of large structuresDomain partitioning approachDomain partitioning approach
162840 nodes – 62 partitions162840 nodes – 62 partitions
Multiscale Modelling of Masonry Structures under Extreme Loading 17/2317/23
Partitioning approach: reduced couplingPartitioning approach: reduced coupling
Multiscale Modelling of Masonry Structures under Extreme Loading 18/2318/23
• Reduced freedoms at parent level via master-slave Reduced freedoms at parent level via master-slave couplingcoupling• Reduced parent computation and communicationReduced parent computation and communication
Multiscale Modelling of Masonry Structures under Extreme Loading 19/2319/23
mod1 mod2
Effectiveness of reduced couplingEffectiveness of reduced coupling
Multiscale Modelling of Masonry Structures under Extreme Loading 20/2320/23
4 partitions
Time
Fhpv
mod1 58.56 s
mod2 40.59 s
Elastic analysis
Effectiveness of reduced couplingEffectiveness of reduced coupling
0.0 0.2 0.4 0.6 0.8 1.0 1.2
h [mm]
0
10
20
30
40
50
Fh
[kN
]
Elastic mod1Elastic mod2
Multiscale Modelling of Masonry Structures under Extreme Loading 21/2321/23
4 partitions
Time
Fhpv
mod1 1303.9 s
mod2 978.59 s
Nonlinear analysis
0.0 0.2 0.4 0.6 0.8 1.0 1.2
h [mm]
0
10
20
30
40
50
Fh [
kN]
Elastic mod1Elastic mod2Nonlinear mod1Nonlinear mod2
mod1 mod2
Plastic work (interfaces) at peak load
Effectiveness of reduced couplingEffectiveness of reduced coupling
ConclusionsConclusionsAccurate multiscale numerical method for brick-Accurate multiscale numerical method for brick-
masonry using domain partitioning at structural scale masonry using domain partitioning at structural scale with an accurate model at mesoscalewith an accurate model at mesoscale
Effectiveness of developed partitioning method Effectiveness of developed partitioning method compared to monolithic approach demonstrated by compared to monolithic approach demonstrated by significant speed-up and computational feasibilitysignificant speed-up and computational feasibility
Developed partitioning method maintains similar Developed partitioning method maintains similar accuracy of detailed monolithic mesoscale method even accuracy of detailed monolithic mesoscale method even with the reduced coupling approachwith the reduced coupling approach
Multiscale Modelling of Masonry Structures under Extreme Loading 22/2322/23
AcknowledgementsAcknowledgements
Multiscale Modelling of Masonry Structures under Extreme Loading 23/2323/23
7th European Community Framework 7th European Community Framework Programme, Marie Curie Intra-European FellowshipProgramme, Marie Curie Intra-European Fellowship
High Performance Computing Services,High Performance Computing Services,Imperial College LondonImperial College London
XI International Conference on XI International Conference on COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS
COMPLAS XI COMPLAS XI 7-9 September 2011 Barcelona - Spain7-9 September 2011 Barcelona - Spain
Multiscale Modelling of Masonry Structures Multiscale Modelling of Masonry Structures under Extreme Loadingunder Extreme Loading
B A Izzuddin and L Macorini
Department of Civil and Environmental EngineeringImperial College London, UK