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Mechanism of deterioration due
to frost damage and
performance prediction
Hokkaido University
HASHIMOTO Katsufumi
1
For Durability design of concrete structure under freeze-thaw actions
① Frost damage mechanism due to→ Influence of temperature histories
→ Influence of deicing agents
② Permeability under freeze-thaw cycles→ Pore structure (MIP and X-ray CT)
→ Effective diffusion coefficient and Apparent diffusion coefficient
③ Life Cycle Management and Life Cycle Cost→ Dispersion of deicing agents
→ Design of a concrete structure in cold region
2
For Durability design of concrete structure under freeze-thaw actions
① Frost damage mechanism due to→ Influence of temperature histories
→ Influence of deicing agents
② Permeability under freeze-thaw cycles→ Pore structure (MIP and X-ray CT)
→ Effective diffusion coefficient and Apparent diffusion coefficient
③ Life Cycle Management and Life Cycle Cost→ Dispersion of deicing agents
→ Design of a concrete structure in cold region
3
① Frost damage mechanism due to
Influence of temperature history
20℃
-20℃
20℃
-20℃4h 3h 4h
-10℃/h +10℃/h
2h 1.5h 2h
-20℃/h +20℃/h
【RILEM12hr】 【RILEM6hr】
Temp. Temp.
30mm5mm
Water absorption in
every 5cycles
Attached strain gauges
1h 5h 8h 12h12h12h12h 30min 150min 4h 6h6h6h6h
20℃
-20℃
20min 100min 160min 4h4h4h4h
20℃
-20℃
10min 50min 80min 2h2h2h2h
4h 3h 4h 2h 1.5h 2h
80min 60min 80min
-30℃/h +30℃/h
40min 30min 40min
-60℃/h +60℃/h
【RILEM4hr】 【RILEM2hr】Time Time
Temp.
Time
Temp.
Time4
5mm
70mm
FTC under sealed condition
analysis
① Frost damage mechanism due to
Influence of temperature history
0
200
400
600
800
-30 -20 -10 0 10 20 300
200
400
600
800
-30 -20 -10 0 10 20 30
Strain(µ)Strain(µ)
Residual strain=364(µ) Residual strain=491(µ)【RILEM12hr】 【RILEM6hr】
-400
-200
0
200
400
600
800
-30 -20 -10 0 10 20 30
-400
-200
0
200
400
600
800
-30 -20 -10 0 10 20 30
-400
-200-30 -20 -10 0 10 20 30
-400
-200-30 -20 -10 0 10 20 30
Strain(µ)
Temp.(℃)
Strain(µ)
Temp.(℃)
Temp.(℃)Temp.(℃)
Residual strain=128(µ) Residual strain=45(µ)
【RILEM4hr】 【RILEM2hr】
5
① Frost damage mechanism due to
Influence of temperature history
1
2
3
1
2
3
Residual strain=364(µ)
Tensile strength ft =1.28[MPa]Elastic modulus E =4.75[GPa]
Residual strain=491(µ)
Tensile strength ft =0.84[MPa]Elastic modulus E =2.66[GPa]
【RILEM12hr】 【RILEM6hr】
Tisil
estress (MPa)
Tisil
estress (MPa)
00 0.05 0.1
00 0.05 0.1
0
1
2
3
0 0.05 0.10
1
2
3
0 0.05 0.1Crack width (mm)
Tisil
estre
ss
(MPa)
Residual strain=128(µ)Tensile strength ft =1.37[MPa]Elastic modulus E =5.03[GPa]
Residual strain=45(µ)Tensile strength ft =1.83[MPa]Elastic modulus E =7.69[GPa]
【RILEM4hr】 【RILEM2hr】
Crack width (mm)
Tisil
estre
ss
(MPa)
Crack width (mm)
Tisil
e
Crack width (mm)
Tisil
e
6
For Durability design of concrete structure under freeze-thaw actions
① Frost damage mechanism due to deicing agents penetration→ Influence of temperature histories
→ Influence of deicing agents
② Permeability under freeze-thaw cycles→ Pore structure (MIP and X-ray CT)
→ Effective diffusion coefficient and Apparent diffusion coefficient
③ Life Cycle Management and Life Cycle Cost→ Dispersion of deicing agents
→ Design of a concrete structure in cold region
7
100
200
300
D-FTR
esid
ual str
ain
(µ)
without NaCl
① Frost damage mechanism due to deicing agents penetration
Influence of deicing agents
00 10 20 30
N-FT
Freeze Thaw cycles
Resid
ual str
ain
(µ
with NaCl
Deicing agent (NaCl) is possible to accelerate
frost damage (increase of strain)
8
with NaCl
Under FTC
without NaCl
Under FTC
10cycle
20cycle
50cycle
10cycle
20cycle
50cycle
M
EF
K
Influence of deicing agents
① Frost damage mechanism due to deicing agents penetration
5 10 15
2θ(°)
Initial
5cycle
5 10 15
2θ(°)
Initial
5cycle
XRD peak
M: Monosulfate
E: Ettringite
K:Kuzel’s Salt
F:Friedel’s Salt
OHCaSOOAlCaO 2432 123 ⋅⋅⋅OHCaSOOAlCaO 2432 3233 ⋅⋅⋅
OHCaClOAlCaO 2232 103 ⋅⋅⋅OHCaClCaSOOAlCaO 22432 1021213 ⋅⋅⋅⋅
9
with NaCl
Under FTC
with NaCl
Under 20℃ condition
1week
2week
5week
10cycle
20cycle
50cycleE
FK
=10cycle
=20cycle
=50cycle
F
K
M
① Frost damage mechanism due to deicing agents penetration
Influence of deicing agents
XRD peak
M: Monosulfate
E: Ettringite
K:Kuzel’s Salt
F:Friedel’s Salt
OHCaSOOAlCaO 2432 123 ⋅⋅⋅OHCaSOOAlCaO 2432 3233 ⋅⋅⋅
OHCaClOAlCaO 2232 103 ⋅⋅⋅OHCaClCaSOOAlCaO 22432 1021213 ⋅⋅⋅⋅
Initial
0.5week
5 10 15
2θ(°)
Initial
5cycle=5cycle
5 10 15
2θ(°)
10
For Durability design of concrete structure under freeze-thaw actions
① Frost damage mechanism due to deicing agents penetration→ Influence of temperature histories
→ Influence of deicing agents
② Permeability under freeze-thaw cycles→ Pore structure (MIP and X-ray CT)
→ Effective diffusion coefficient and Apparent diffusion coefficient
③ Life Cycle Management and Life Cycle Cost→ Dispersion of deicing agents
→ Design of a concrete structure in cold region
11
② Permeability under freeze-thaw cycles
Mercury Intrusion Porosimeter (MIP)
- influence of temperature history -
Under depressurization Under depressurization
12
Under depressurization
Low continuityHigh continuity
Pore size
Cumulative pore volume
Under pressurization
Pore size
Cumulative pore volume
Under pressurization
Permeability: Low, Frost damage: ? Permeability: High, Frost damage: ?
② Permeability under freeze-thaw cycles
Influence of temperature history
20℃
-20℃
20℃
-20℃4h 3h 4h
-10℃/h +10℃/h
2h 1.5h 2h
-20℃/h +20℃/h
【RILEM12hr】 【RILEM6hr】
Temp. Temp.
1h 5h 8h 12h12h12h12h 30min 150min 4h 6h6h6h6h
20℃
-20℃
20min 100min 160min 4h4h4h4h
20℃
-20℃
10min 50min 80min 2h2h2h2h
4h 3h 4h 2h 1.5h 2h
80min 60min 80min
-30℃/h +30℃/h
40min 30min 40min
-60℃/h +60℃/h
【RILEM4hr】 【RILEM2hr】Time Time
Temp.
Time
Temp.
Time13
0.03
0.04
0.05in1
ex1
in2
ex20.03
0.04
0.05in1
ex1
in2
ex2
Cumulative pore volume(cm3/g)
② Permeability under freeze-thaw cycles
Mercury Intrusion Porosimeter (MIP)
- influence of temperature history -
Cumulative pore volume(cm3/g)
「in1」:1st intrusion 「ex1」:1st evacuation 「in2」:2nd intrusion 「ex2」:2nd evacuation
No FTC
2hr/cycle
×10cycle
14
0
0.01
0.02
0.03
0.001 0.01 0.1 1 10 100
ex2
Pore diameter(µm)
0
0.01
0.02
0.03
0.001 0.01 0.1 1 10 100
ex2
Pore diameter(µm)
Cumulative pore volume(cm
Cumulative pore volume(cm
② Permeability under freeze-thaw cycles
X-ray Computed Tomography (X-ray CT)
- influence of temperature history -
0.03
0.04
0.05in1
ex1
in2
ex20.03
0.04
0.05in1
ex1
in2
ex2
Cumulative pore volume(cm3/g)
Cumulative pore volume(cm3/g)
「in1」:1st intrusion 「ex1」:1st evacuation 「in2」:2nd intrusion 「ex2」:2nd evacuation
No FTC
4hr/cycle
×10cycle
15
0
0.01
0.02
0.03
0.001 0.01 0.1 1 10 100
Pore diameter(µm)
0
0.01
0.02
0.03
0.001 0.01 0.1 1 10 100
ex2
Pore diameter(µm)
Cumulative pore volume(cm
Cumulative pore volume(cm
0.03
0.04
0.05in1
ex1
in2
ex20.03
0.04
0.05in1
ex1
in2
ex2
② Permeability under freeze-thaw cycles
Mercury Intrusion Porosimeter (MIP)
- influence of temperature history -
Cumulative pore volume(cm3/g)
Cumulative pore volume(cm3/g)
「in1」:1st intrusion 「ex1」:1st evacuation 「in2」:2nd intrusion 「ex2」:2nd evacuation
No FTC
6hr/cycle
×10cycle
16
0
0.01
0.02
0.03
0.001 0.01 0.1 1 10 100
Pore diameter(µm)
0
0.01
0.02
0.03
0.001 0.01 0.1 1 10 100
ex2
Pore diameter(µm)
Cumulative pore volume(cm
Cumulative pore volume(cm
0.03
0.04
0.05in1
ex1
in2
ex20.03
0.04
0.05in1
ex1
in2
ex2
② Permeability under freeze-thaw cycles
Mercury Intrusion Porosimeter (MIP)
- influence of temperature history -
Cumulative pore volume(cm3/g)
Cumulative pore volume(cm3/g)
「in1」:1st intrusion 「ex1」:1st evacuation 「in2」:2nd intrusion 「ex2」:2nd evacuation
No FTC
17
0
0.01
0.02
0.03
0.001 0.01 0.1 1 10 100
Pore diameter(µm)
0
0.01
0.02
0.03
0.001 0.01 0.1 1 10 100
ex2
Pore diameter(µm)
Cumulative pore volume(cm
Cumulative pore volume(cm
12hr/cycle
×10cycle
Pore connectivity:6hr>12hr>4hr>2hr
Cumulative pore volume: 12hr>6hr>2hr>4hr
② Permeability under freeze-thaw cycles
X-ray Computed Tomography (X-ray CT)
- influence of temperature history -
Capturing an 3D image Random Walk Simulation (RWS)
18
L
② Permeability under freeze-thaw cycles
X-ray Computed Tomography (X-ray CT)
- influence of temperature history -
L
Lτ
''=
L
Lτ
'''' =Tortuosity: τ
Capturing an 3D image Random Walk Simulation (RWS)
19
L
'L
''L
② Permeability under freeze-thaw cycles
X-ray Computed Tomography (X-ray CT)
- influence of temperature history -
( )( ) ( )( )( ) ( )( )( ) ( )( )
∑=
−+
−+
−
=n
i
iDi
iDi
D
ztz
yty
xtx
ntr
1 2
2
2
2
0
0
0
1 n:number of Walker
x, y, z:displacement of Walker
tD:time step
Average displacement of random walker from start to end point
20
( ) ( )( )= −+
i
iDi ztz1 2
0tD:time step
( )( )
D
D
Ddt
trdtD
2
6
1=
Self-diffusion coefficient
D
Dτ 0=
Tortuosity
0D :Self-diffusion coefficient (θ=100%)
D :Self-diffusion coefficient (porous body)
For Durability design of concrete structure under freeze-thaw actions
① Frost damage mechanism due to deicing agents penetration→ Influence of temperature histories
→ Influence of deicing agents
② Permeability under freeze-thaw cycles→ Pore structure (MIP and X-ray CT)
→ Effective diffusion coefficient and Apparent diffusion coefficient
③ Life Cycle Management and Life Cycle Cost→ Dispersion of deicing agents
→ Design of a concrete structure in cold region
21
② Permeability under freeze-thaw cycles
3
4
PAE-D
PAE-Cwith NaCl
without NaCl
Effe
ctive
Diffu
sio
n
co
effic
ien
t (c
m2/y
ea
r)
Effective diffusion coefficient and Apparent diffusion coefficient
- influence of deicing agents -
eD apD
cycle year
Ap
pa
ren
t d
iffu
sio
n c
oe
ffic
ien
t apD
22
0
1
2
0 10 20 30 40 50
Freeze-thaw cycles
Effe
ctive
Diffu
sio
n
co
effic
ien
t (c
m
( ) int02
1, CtD
xerfCtxC
ap
+
⋅−=
yearAp
pa
ren
t d
iffu
sio
n c
oe
ffic
ien
t
year
② Permeability under freeze-thaw cycles
Effective diffusion coefficient Apparent diffusion coefficient
The number of FTC Time in real situationShould be converted
Could be related
eD apD
cycle year
23
Freeze-thaw testⅠ・measure De
・ caluculate Dap
Freeze-thaw testⅡ・measure chloride ion content
・measure C0
Simulation of chloride ion diffusion by using Dap and C0
( ) int02
1, CtD
xerfCtxC
ap
+
⋅−=
② Permeability under freeze-thaw cycles
Effective diffusion coefficient Apparent diffusion coefficient
The number of FTC Time in real situationShould be converted
Could be related
eD apD
cycle year
Freeze-thaw testⅠ Freeze-thaw testⅡ
24
Freeze-thaw testⅠ Freeze-thaw testⅡ
40mm
40mm
70mm
5mmNaCl 5mass%
30mm5mm
70mm
Water absorption in
every 5cycles
Sealed FTC
FTC with one side immersion
For Durability design of concrete structure under freeze-thaw actions
① Frost damage mechanism due to FTC cinditions→ Influence of temperature histories
→ Influence of deicing agents
② Permeability under freeze-thaw cycles→ Pore structure (MIP and X-ray CT)
→ Effective diffusion coefficient and Apparent diffusion coefficient
③ Life Cycle Management and Life Cycle Cost→ Dispersion of deicing agents (NaCl)
→ Design of a concrete structure in cold region
25
③ Life Cycle Management and Life Cycle Cost
bridge
abutment
C
26
abutment
地覆・壁高欄
beam
A
BArea
Pathway of deicing agents and
thaw water
ABridge seat and lateral side
(water leak and stagnant)
B Footing crest
C Roadway side
Areacase1
Co(kg/m3) cover(cm)
A 11 6
B 7 4
C 6 4
Areacase2
Co(kg/m3) cover(cm)
A 10 6
B 6 4
C 5 4
Areacase33 Area
case43
③ Life Cycle Management and Life Cycle Cost
Clim it =1.2 (kg/m3)
27
AreaCo(kg/m
3) cover(cm)
A 11 7
B 7 5
C 6 5
AreaCo(kg/m
3) cover(cm)
A 6 6
B 6 4
C 5 4
sWC 286.00 =
Hideaki SAKAI: A study on predictive method of the chloride ion
concentration of bridge protective barrier in region using the antifreezing
agent, Journal of JSCE, E2 (Materials and Concrete Structures), 2010
Ws:An amout of deicinagent dispersion (kg/m)
For Durability design of concrete structure under freeze-thaw actions
① Frost damage mechanism due to FTC condition→Temperature history and chloride penetration influenced on
progress of frost damage, which was shown in hydration products,
strain, pore structure and physical characteristics.
② Permeability under freeze-thaw cycles→Pore structure subjected to FTC was investigated by multi-
dimensional analysis with using MIP and X-ray CT.
→Permeability was related to pore continuity and tortuosity.
③ Life Cycle Management and Life Cycle Cost→ Method of deicing agents dispersion and Design of a concrete
structure in cold region were affecting LCC and that was
evaluated quantitatively. 28
Thank you very much for your kind attention!!
29
Thank you very much for your kind attention!!