Transcript Imperial College London

22ND ACME CONFERENCE ON COMPUTATIONAL MECHANICS, 2-4 APRIL, EXETER, UK
NONLINEAR ANALYSIS OF MASONRY ARCH BRIDGES
USING MESOSCALE PARTITIONED MODELLING
YANYANG ZHANG, LORENZO MACORINI AND BASSAM A. IZZUDDIN
COMPUTATIONAL STRUCTURAL MECHANISM GROUP (CSM)
DEPARTMENTAL OF CIVIL AND ENVIRONMENTAL ENGINEERING
IMPERIAL COLLEGE LONDON
OUTLINE
1
MASONRY ARCH BRIDGES
2
MESOSCALE PARTITIONED MODELLING
3
NUMERICAL DESCRIPTION OF ARCH-FILL INTERACTION
4
3D MESOSCALE MODELS
5
CONCLUSIONS AND FUTURE WORK
MASONRY ARCH BRIDGE
Fill
Play a crucial role in public transportation systems
Belong to the engineering and architectural heritage
3D MESOSCALE DESCRIPTION FOR MASONRY STRUCTURES
Brick elements
2D nonlinear interfaces
C
Macorini L and Izzuddin B.A.(2011)
3D MESOSCALE DESCRIPTION OF SKEW ARCH
3
4
2
1
Block i
Block Nc
MESOSCALE PARTITIONED MODELLING FOR MASONRY ARCHES
1
2
3
4
Brick-masonry arch
Parent structure modelling with super-elements
Partition 2
Partition 3
Partition 1
Partition 4
Tow-way communication partition-parent structure
Parent structure corresponding to partitioned boundary
MESOSCALE PARTITIONED MODELLING FOR ARCH-BACKFILL INTERACTION
15-noded prisms
Continuum domain
Partition 2
The backfill
Parent structure
corresponding to
partitioned boundary
Communication
partition-parent
Partition 1
Brick-masonry arch
20-noded brick elements+
16-noded interface elements
Discontinued domain
structure
3D MESOSCALE MODEL
------ MASONRY SQUARE ARCH
Dead Load F + Live Load P
F=10kN
F=10kN / P=1kN
Dead load F
20-noded
brick elements
20-noded
brick elements
mortar
interfaces
Wang J. (2004)
brick interfaces
mortar
interfaces
mortar interfaces
3D MESOSCALE MODEL
------ MASONRY SQUARE ARCH
FE mesh in ADAPTIC
Vertical Load (kN)
30
25
20
¾ span
¼ span
15
10
5
Experiment
collapse
Proposed model
0
-3
Countour of plastic work of the interface elements
-2
-1
0
1
Deflection (mm)
Load-deflection curve
2
3
3D MESOSCALE MODEL
------ MASONRY SQUARE ARCH
FE mesh in ADAPTIC
Vertical Load (kN)
30
25
20
¾ span
¼ span
15
10
5
Experiment
collapse
Proposed model
0
-6
Countour of plastic work of the interface elements
-4
-2
0
2
Deflection (mm)
Load-deflection curve
4
6
3D MESOSCALE MODEL
------ MASONRY SQUARE ARCH
FE mesh in ADAPTIC
Vertical Load (kN)
30
25
20
¾ span
¼ span
15
10
5
Experiment
collapse
Proposed model
0
-6
Countour of plastic work of the interface elements
Wang J. (2004)
-4
-2
0
2
Deflection (mm)
Load-deflection curve
4
6
3D MESOSCALE MODEL
------ MASONRY SQUARE ARCH
FE mesh in ADAPTIC
Vertical Load (kN)
30
25
¾ span
20
15
10
5
0
-6
Countour of plastic work of the interface elements
Wang J. (2004)
¼ span
-4
Experiment
collapse
Proposed model
-2
0
2
Deflection (mm)
Load-deflection curve
4
6
3D MESOSCALE MODEL
------ MASONRY SQUARE ARCH
FE mesh in ADAPTIC
Vertical Load (kN)
30
25
20
¾ span
15
10
5
0
Countour of plastic work of the interface elements
Wang J. (2004)
-6
¼ span
-4
-2
Experiment
collapse
Proposed model
0
2
Deflection (mm)
Load-deflection curve
4
6
3D MESOSCALE MODEL
------ MASONRY SKEW ARCH
T9
Vertical load P
T3
16
16
12
12
8
4
Experimental_T9
Proposed model_T9
0
Wang J. (2004)
0
0.5
1
1.5
Vertical displacement (mm) at T9
Load (kN)
20
Load (kN)
20
8
Experimental_T3
Proposed model_T3
-1.5
-1
-0.5
0
Vertical displacement (mm) at T3
4
0
3D Mesoscale Model
------ Arch-Backfill Interaction Model
Vertical Line load P
ADAPTIC
FE mesh mesoscale
in ADAPTICFE mesh (interfaces)
Continuum
domain
with no interface
elements
20-noded
16-noded
Brick elements
for
interface elements
brick unitsFor mortar joints
16-noded
interface elements
for the interface
between arch barrel
and the backfill
15-noded
wedge elements
for the backfill
3D MESOSCALE MODEL
------ ARCH-BACKFILL INTERACTION MODEL
Deformed FE mesh in ADAPTIC
Countour of plastic deformation of the backfill
250
Applied load (kN)
200
150
100
Contour of plastic work Wcr1 at interface elements of masonry arch
50
Proposed model
0
0
0.5
1
1.5
Vertical displacement (mm)
2
CONCLUSIONS
1
2
3
4
3D mesoscale representation provides accurate description for masonry
Arches bridges taken into account for the real texture of masonry.
When using 3D mesoscale description incorporated with the domain
partitioning approach, computational efficiency is preserved.
In comparison with simplified modelling approach, detailed modeling
approach present more precise result.
Full 3D model of masonry arch bridges accounted for spandrel walls
will be presented in the future.
NONLINEAR ANALYSIS OF MASONRY ARCHES AND BRIDGES USING
MESOSCALE PARTITIONED MODELLING
THANK YOU !