3-6 September 2013 Cagliari, Sardinia, Italy
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Transcript of 3-6 September 2013 Cagliari, Sardinia, Italy
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The Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing
3-6 September 2013 Cagliari, Sardinia, Italy
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures
L. Macorini - B.A. Izzuddin
Computational Structural Mechanics GroupDepartment of Civil and Environmental Engineering
Imperial College London, UK
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OutlineAdvanced modelling for URM
Mesoscale Partitioned Modelling
Domain Partitioning approach
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 1/28
3D Mesoscale model
Conclusions
Enhancements to improve efficiency
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Mesoscale modelTwo-material approach
Mesoscale scale
Advanced modelling for URM
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 2/28
(Massart, 2007)
• Mesoscale descriptions for URM guarantee accurate response prediction
• Detailed mesoscale models are usually computationally demanding
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Mesoscale Partitioned Modelling
Structural scaleSolid elements and 2D nonlinear interfaces
An advanced 3D mesoscale model is combined with partitioning approach
• Partitioning approach with super-elements for masonry
• Parallel computing
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 3/28
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2D nonlinear interface element
t
ts
ss<0
Gf,II
ux(y)
stanf
t
C
Gf,I
uz
st
s s
s
sc
ss
suz
Gc
3D mesoscale model for nonlinear analysis under extreme loading
Shear test
Compression test
• Multi-surface nonassociated plasticity
• Geometric nonlinearity
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 4/28
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In-plane behaviourVermeltfoort AT, Raijmakers TMJ (1993)
J4D J5D
pv=0.3 MPamortar
interface
mortar interface
brick interface
3D mesoscale model for nonlinear analysis under extreme loading
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 5/28
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In-plane behaviourVermeltfoort AT, Raijmakers TMJ (1993)
J4D J5D
Wpl1Wpl1Wpl1Wpl1
Wpl2
pv=0.3 MPa
3D mesoscale model for nonlinear analysis under extreme loading
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 6/28
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In-plane behaviourVermeltfoort AT, Raijmakers TMJ (1993)
Wpl1
Wpl2
Nonlinear Analysis of Masonry Structures using Mesoscale Partitioned Modelling 7/28
3D mesoscale model for nonlinear analysis under extreme loading
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Out-of-plane behaviourChee Liang, N.G. (1996)
Wpl1Wpl1Wpl1
Nonlinear Analysis of Masonry Structures using Mesoscale Partitioned Modelling 8/28
3D mesoscale model for nonlinear analysis under extreme loading
0 0.3 0.6 0.9 1.2 1.5 1.8 [mm]
0
10
20
30
40
Fh [
kN/m
2 ]
Exp. - wall 8Exp. capacityProposed model
wall 8
wall 12
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Mesoscale analysis of large URM components
Gattesco et al. (2008)
3D mesoscale model for nonlinear analysis under extreme loading
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 9/28
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Mesoscale analysis to represent quasi-brittle behaviour
A)
B)
• Dynamic analyses with a large number of time steps are used for representing post-peak response
3D mesoscale model for nonlinear analysis under extreme loading
0.0 1.0 2.0 3.0 4.0 5.0 6.0
h [mm]
0
20
40
60
80
100
F h [
kN]
Exp. [21]ADAPTIC
A
B
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 10/28
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Domain partitioning approach
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 11/28
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Domain partitioning approach
Communication between parent structure and partitions
MPI
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 12/28
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Detailed analysis of large structuresDomain partitioning approach
162840 nodes – 62 partitions
sm [MPa] Wpl1m [MPa]
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 13/28
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Detailed analysis of large structuresDomain partitioning approach
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 14/28
• When analysing large URM structures, the most critical process becomes that of the parent structure. This may significantly reduce efficiency leading to an excessively long wall-clock time.
162840 nodes 62 partitions
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Detailed analysis of large structuresDomain partitioning approach
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 15/28
• Enhancements to improve efficiency: - Hierarchic partitioning - Mixed-dimensional coupling
162840 nodes 62 partitions
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Enhancements to improve efficiencyEnhanced domain partitioning approach
• Modelling with hierarchic partitioning (Jokhio 2012)
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 16/28
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Enhancements to improve efficiencyEnhanced domain partitioning approach
• Modelling with partitions and master-slave coupling (Jokhio 2012)
6 DoF
Mixed-dimensional coupling
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 17/28
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Enhancements to improve efficiencyEnhanced domain partitioning approach
• Modelling heterogeneous structures with URM
Infilled frame
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 18/28
Elasto-plastic beam elements are used for modelling beams and columns of the frame, while the detailed mesoscale description is utilised for URM panels
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Numerical examplesEnhanced domain partitioning approach
• Numerical performance (Speed-up)
Elastic analysis of a large URM wall (48 48 20-noded solid elements)
Prescribed top vertical displacements in 1 step and top horizontal displacements in 10 steps
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 19/28
uz ux
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Numerical examplesEnhanced domain partitioning approach
• Numerical performance (Speed-up)
Elastic analysis of a large URM wall (48 48 20-noded solid elements)
Standard (flat) Partitioning Approach
Enhanced Partitioning Approach (hierarchic partitioning)
P-L1
P-L2
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 20/28
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Numerical examples
Enhanced domain partitioning approach
• Numerical performance – Speed-up
Elastic analysis of a large URM wall (48 48 20-noded solid elements)
model N. processors
Parent Struct.DOFs
Part. L1DOFs
Part. L2DOFs S
m 1 142848 - - -P4 5 2304 36864 - 4.60
P16 17 6912 9792 - 6.96P64 65 16128 2736 - 3.24
P4 mslc 5 576 36864 - 3.73P16 mslc 17 1728 9792 - 12.43P64 mslc 65 4032 2736 - 116.39
P44 20 768 2304 9792 14.40
P416 69 768 2304 2736 28.65P44 mslc 20 96 576 9792 17.63
P4x16 mslc 69 96 576 2736 205.50
Si= Tm/TSi
Tm = 13152 s
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 21/28
flat partitioning
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Numerical examples
Enhanced domain partitioning approach
• Numerical performance – Speed-up
Elastic analysis of a large URM wall (48 48 20-noded solid elements)
0
1
2
3
4
5
6
7
8
0 10 20 30 40 50 60 70
Spe
ed-u
p S
N. of processors
P-L1
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 22/28
Si= Tm/TSi
Tm = 13152 s
Flat partitioning
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Numerical examples
Enhanced domain partitioning approach
• Numerical performance – Speed-up
Elastic analysis of a large URM wall (48 48 20-noded solid elements)
model N. processors
Parent Struct.DOFs
Part. L1DOFs
Part. L2DOFs S
m 1 142848 - - -P4 5 2304 36864 - 4.60
P16 17 6912 9792 - 6.96P64 65 16128 2736 - 3.24
P4 mslc 5 576 36864 - 3.73P16 mslc 17 1728 9792 - 12.43P64 mslc 65 4032 2736 - 116.39
P44 20 768 2304 9792 14.40
P416 69 768 2304 2736 28.65P44 mslc 20 96 576 9792 17.63
P4x16 mslc 69 96 576 2736 205.50
Si= Tm/TSi
Tm = 13152 s
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 21/28
flat partitioning with mixed-dimensional couplinghierarchic partitioning hierarchic partitioning with mixed-dimensional coupling
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Enhancements to improve efficiencyEnhanced domain partitioning approach
• Numerical performance – Speed-up
Elastic analysis of a large URM wall (48 48 20-noded solid elements)
Si= Tm/TSi
Tm = 13152 s
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 23/28
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Enhancements to improve efficiencyEnhanced domain partitioning approach
• Solution accuracy: partitioned vs. monolithic model
Normal stresses after the application of the vertical displacement
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 24/28
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Enhancements to improve efficiencyEnhanced domain partitioning approach
• Solution accuracy: partitioned vs. monolithic model
Normal stresses at the end of the analysis
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 24/28
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Numerical examples
Enhanced domain partitioning approach
• Analysis of heterogeneous structures under extreme loading
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 25/28
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Numerical examples
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 26/28
Enhanced domain partitioning approach
• Analysis of heterogeneous structures under extreme loading
Blast pressure in time
Model validation under blast loading (Macorini and Izzuddin 2013)
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Numerical examples
Enhanced domain partitioning approach
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 27/28
• Analysis of heterogeneous structures under extreme loading
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Conclusions
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures 28/28
When using hierarchic partitioning and master-slave coupling, contrary to the case of flat partitioning, computational efficiency is preserved also in the analysis of URM structures modelled using a large number of partitions
In the case of master-slave coupling the gain in computational performance is obtained losing accuracy depending upon the specific loading conditions
This limitation will be overcome in next enhancements by introducing soft coupling using a Lagrangian multiplier approach
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AcknowledgementsThe authors gratefully acknowledge the High Performance Computing (HPC) Services at Imperial College London for providing and supporting the required computing facilities.
Enhanced Mesoscale Partitioned Modelling for Unreinforced Masonry Structures