XI International Conference on COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS COMPLAS XI 7-9...

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



Macroscale model Macroscale model Equivalent material Equivalent material

approachapproach

Identification of material properties for macro-modelIdentification of material properties for macro-model



Multiscale approaches for masonryMultiscale approaches for masonry

• Homogenisation Homogenisation approachapproach

• Nested multiscale - FENested multiscale - FE22

approachapproach

Basic cell (RVE) Homogenised continuum

Homogenisation


(Massart, 2007)

Multiscale approaches for masonryMultiscale approaches for masonry


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


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


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


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




J4DJ4D J5DJ5D

Wpl1Wpl1Wpl1Wpl1

Wpl2

pv=0.3 MPa




Wpl1Wpl1

Wpl2Wpl2

Nonlinear Analysis of Masonry Structures using Mesoscale Partitioned Modelling 12/2312/23


Out-of-plane behaviourOut-of-plane behaviourChee Liang, N.G. (1996)Chee Liang, N.G. (1996)

Wpl1Wpl1Wpl1Wpl1Wpl1Wpl1



Mesoscale analysis of large specimensMesoscale analysis of large specimens

Gattesco, Macorini, Noè(2008)Gattesco, Macorini, Noè(2008)



Partitioning approach: full couplingPartitioning approach: full coupling

Communication between parent structure and partitionsCommunication between parent structure and partitions

MPIMPI


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


Detailed analysis of large structuresDetailed analysis of large structuresDomain partitioning approachDomain partitioning approach

162840 nodes – 62 partitions162840 nodes – 62 partitions


Partitioning approach: reduced couplingPartitioning approach: reduced coupling


• 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


mod1 mod2

Effectiveness of reduced couplingEffectiveness of reduced coupling


4 partitions

Time

Fhpv

mod1 58.56 s

mod2 40.59 s

Elastic 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 mod2


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


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


AcknowledgementsAcknowledgements


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

XI International Conference on COMPUTATIONAL PLASTICITY FUNDAMENTALS AND APPLICATIONS COMPLAS XI 7-9...

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