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

22ND ACME CONFERENCE ON COMPUTATIONAL MECHANICS, 2-4 APRIL, EXETER, UK

OUTLINE

MASONRY ARCH BRIDGES

MESOSCALE PARTITIONED MODELLING

NUMERICAL DESCRIPTION OF ARCH-FILL INTERACTION

3D MESOSCALE MODELS

CONCLUSIONS AND FUTURE WORK

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1

MASONRY ARCH BRIDGE

Play a crucial role in public transportation systems

Belong to the engineering and architectural heritage

Fill

3D MESOSCALE DESCRIPTION FOR MASONRY STRUCTURES

Macorini L and Izzuddin B.A.(2011)

Brick elements 2D nonlinear interfaces

C

3D MESOSCALE DESCRIPTION OF SKEW ARCH

1

2

34

Block Nc

Block i

MESOSCALE PARTITIONED MODELLING FOR MASONRY ARCHES

Brick-masonry arch Parent structure modelling with super-elements

 

1 2 3

4

Tow-way communication partition-parent structure

Parent structure corresponding to partitioned

boundary

Partition 1

Partition 2 Partition 3

Partition 4

MESOSCALE PARTITIONED MODELLING FOR ARCH-BACKFILL INTERACTION

Communication

partition-parent

structure

Parent structure

corresponding to

partitioned boundary

Partition 1

Brick-masonry arch

15-noded prisms

Continuum domain

Partition 2

The backfill

20-noded brick elements+

16-noded interface elements

Discontinued domain

3D MESOSCALE MODEL ------ MASONRY SQUARE ARCH

Dead Load F + Live Load P Dead load F

mortar interfaces

mortar interfaces

brick interfaces mortar interfacesWang J. (2004)

F=10kN / P=1kN F=10kN

20-noded brick elements

20-nodedbrick elements

-3 -2 -1 0 1 2 30

5

10

15

20

25

30

ExperimentcollapseProposed model

Deflection (mm)

Ver

tica

l Loa

d (

kN)

3D MESOSCALE MODEL ------ MASONRY SQUARE ARCH

¾ span ¼ span

FE mesh in ADAPTIC

Countour of plastic work of the interface elements Load-deflection curve

-6 -4 -2 0 2 4 60

5

10

15

20

25

30

Experiment

collapse

Proposed model

Deflection (mm)

Ver

tica

l Loa

d (

kN)

3D MESOSCALE MODEL ------ MASONRY SQUARE ARCH

¾ span ¼ span

FE mesh in ADAPTIC

Countour of plastic work of the interface elements Load-deflection curve

3D MESOSCALE MODEL ------ MASONRY SQUARE ARCH

Wang J. (2004)

-6 -4 -2 0 2 4 60

5

10

15

20

25

30

Experiment

collapse

Proposed model

Deflection (mm)

Ver

tica

l Loa

d (

kN)

¾ span ¼ span

FE mesh in ADAPTIC

Countour of plastic work of the interface elements Load-deflection curve

3D MESOSCALE MODEL ------ MASONRY SQUARE ARCH

Wang J. (2004)

-6 -4 -2 0 2 4 60

5

10

15

20

25

30

ExperimentcollapseProposed model

Deflection (mm)

Ver

tica

l Loa

d (

kN)

¾ span ¼ span

FE mesh in ADAPTIC

Countour of plastic work of the interface elementsLoad-deflection curve

3D MESOSCALE MODEL ------ MASONRY SQUARE ARCH

Wang J. (2004)

-6 -4 -2 0 2 4 60

5

10

15

20

25

30

Experiment

collapse

Proposed model

Deflection (mm)

Ver

tica

l Loa

d (

kN)

¾ span ¼ span

FE mesh in ADAPTIC

Countour of plastic work of the interface elementsLoad-deflection curve

3D MESOSCALE MODEL ------ MASONRY SKEW ARCH

-1.4 -1.2 -1 -0.8 -0.6 -0.4 -0.2 00

4

8

12

16

20

Experimental_T3

Proposed model_T3

Vertical displacement (mm) at T3Lo

ad (

kN

)0 0.2 0.4 0.6 0.8 1 1.2 1.4

0

4

8

12

16

20

Experimental_T9

Proposed model_T9

Vertical displacement (mm) at T9

Load

(k

N)

Wang J. (2004)

Vertical load PT9

T3

3D Mesoscale Model ------ Arch-Backfill Interaction Model

FE mesh in ADAPTIC

15-noded wedge elementsfor the backfill

20-noded Brick elements for

brick units

Continuum domain

with no interface elements

Vertical Line load P

ADAPTIC mesoscale FE mesh (interfaces)

16-noded interface elementsFor mortar joints

16-noded interface elements

for the interface between arch barrel

and the backfill

3D MESOSCALE MODEL ------ ARCH-BACKFILL INTERACTION MODEL

Deformed FE mesh in ADAPTIC

Countour of plastic deformation of the backfill

Contour of plastic work Wcr1 at interface elements of masonry arch0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

0

50

100

150

200

250

Proposed model

Vertical displacement (mm)

Ap

pli

ed lo

ad (

kN

)

Full 3D model of masonry arch bridges accounted for spandrel walls

will be presented in the future.

In comparison with simplified modelling approach, detailed modeling

approach present more precise result.

When using 3D mesoscale description incorporated with the domain

partitioning approach, computational efficiency is preserved.

3D mesoscale representation provides accurate description for masonry

Arches bridges taken into account for the real texture of masonry.1

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CONCLUSIONS

NONLINEAR ANALYSIS OF MASONRY ARCHES AND BRIDGES USING MESOSCALE PARTITIONED MODELLING

THANK YOU !