Numerical Analysis of Dowel-Socket Structure Numerical Analysis of Dowel-Socket Structure in TMSR Graphite Corein TMSR Graphite Core
Fan Huiqing, Cai Maoyuan, Huang Chaochao, Derek Tsang
AimsAims
Results & DiscussionResults & Discussion
Model & Boundary ConditionsModel & Boundary Conditions
A
B
C
ContentsContents
1. To study the effect of Fillet Radius, Diameter/Length/Position
of dowel on the dowel-socket structure.
2. The Numerical Analysis results can provide designing basis
for the static experiment of graphite bricks.
AimsAims A
Model & Boundary ConditionsModel & Boundary Conditions B
Model of Dowel-Socket structure
Design of Graphite Modelunits: mm
ϕ 90
Parameter considered in Dowel-Socket numerical analysis :
1.Length of Dowel
2.Diameter of Dowel-Socket
3.Position of Socket
4.Fillet Radius
Model Code
Geometrical Parameter of Dowel/Socket
Remarklength/mm
diameter/mm
position/mm
Fillet Radius/mm
1 58/60 89.5/90 x,y
2.5
Model 1 is the origin design
2 78/80 89.5/90 x,y
3 98/100 89.5/90 x,y
4 58/60 79.5/80 x,y
1 58/60 89.5/90 x,y
5 58/60 99.5/100 x,y
1 58/60 89.5/90 x,y
6 58/60 89.5/90x+5y+5
7 58/60 89.5/90x-5y-5
8 58/60 89.5/90 x,y 1.5
1 58/60 89.5/90 x,y 2.5
9 58/60 89.5/90 x,y 3.5
Table of Model Parameter
Model 尺寸 /mm
Socket Φ90*60
Dowel Φ89.5*58
Position of Dowel/Socket:x=114.54mm , y=180.31mm
Origin Design of Dowel/Socket
Position of Dowel/Socket
Model ParameterModel Parameter
ϕ 90
NG-CT-10 ( Chengdu Carbon)
Bulk densityKg/m3 1880
Young Modulus / GPa 9.65
Poisson’s ratio 0.2
Friction coefficient 0.2 (temp)
Materials Parameter of GraphiteMaterials Parameter of Graphite
Constraint Type Acting Surface
Fixed Constraint Lower Surface of Lower Brick
Displacement
Constraint
Upper Surface of Upper Brick
Z=0mm
Diagram of Constraint
Constraint TypeConstraint Type
Lower Brick
Upper Brick
Diagram of Loading
Loading Acting Surface
Gravity — g
ForceSide Surface of
Upper Brick60000N
Loading TypeLoading Type
Lower Brick
Upper Brick
Mesh Generation of Upper Brick
Mesh Generation of Dowel
0 10 20 30 40 500
10
20
30
40
50
60
Max
imum
Prin
cipa
l Stres
s / M
Pa
Grid Quantity / 104
Grid Quantity /104
Max Principal Stress /MPa
12.0 37.9
16.5 38.7
40.3 38
Results of Model 1
Choose 16.5*104 Grid Quantity
Analysis of Grid DensityAnalysis of Grid Density
Mesh Generation of Lower Brick
Stress Distribution of Upper Brick
MemberMax Principal Stress/MPa
Upper Brick 27.7
Lower Brick 38.0
Dowel 6.9
1. Max Principal Stress located at the bottom of
socket in the lower brick.
2. Max Principal Stress Distribution in Upper Surface of
Lower Brick was also considered
1. Max Principal Stress located at the bottom of
socket in the lower brick.
2. Max Principal Stress Distribution in Upper Surface of
Lower Brick was also considered
weakest-member?weakest-member?
Stress Distribution of Lower Brick Stress Distribution of Dowel
Limited change in Max Principal Stress Distribution in Upper Surface of Lower Brick.
Limited change in Max Principal Stress Distribution in Upper Surface of Lower Brick.
Length of Dowel/Socket
mm
Max Principal Stressin Upper Surface of Lower Brick
/MPaChange / %
58/60 18.9 0
78/80 18.5 -2.1
98/100 19.5 3.1
Diameter of Dowel/Socket:89.5mm/90mm
Length of Dowel 80mm Length of Dowel 100mm
Results & DiscussionResults & Discussion C
Force
Max Principal Stress Distribution in Upper Surface of Lower BrickMax Principal Stress Distribution
in Upper Surface of Lower Brick
Length of Dowel 60mm
Length AnalysisLength Analysis
Diameter of Dowel/Socket
/mm
Max Principal Stressin Upper Surface of Lower Brick
/MPaChange / %
79.5/80 23.0 21.7
89.5/90 18.9 0
99.5/100 15.7 -16.9
Length of Dowel/Socket: 58mm/60mm
Smaller Diameter, Bigger Max
Principal Stress.
Smaller Diameter, Bigger Max
Principal Stress.
Diameter AnalysisDiameter Analysis
Diameter of Dowel 80mm Diameter of Dowel 90mm Diameter of Dowel 100mm
Max Principal Stress Distribution in Upper Surface of Lower BrickMax Principal Stress Distribution
in Upper Surface of Lower Brick
Position of Dowel/Socket
Max Principal Stressin Upper Surface of Lower Brick
/MPaChange / %
x , y 18.9 0
x+5 , y+5 18.4 -2.6
x-5 , y-5 18.6 -1.6
Length of Dowel/Socket: 58mm/60mm, Diameter of Dowel/Socket:89.5mm/90mm
x , y x-5 , y-5x+5 , y+5
Max Principal Stress Distribution in Upper Surface of Lower BrickMax Principal Stress Distribution
in Upper Surface of Lower Brick
Limited change in Max Principal Stress Distribution in Upper Surface of Lower Brick.
Limited change in Max Principal Stress Distribution in Upper Surface of Lower Brick.
Position AnalysisPosition Analysis
Length of Dowel/Socket
mm
Max Principal Stressin Upper Surface of Lower Brick
/MPaChange / %
58/60 38.0 0
78/80 30.0 -21.1
98/100 23.7 -37.6
Diameter of Dowel/Socket:89.5mm/90mm
Max Principal Stress Distribution of Lower Brick
Max Principal Stress Distribution of Lower Brick
Length AnalysisLength Analysis
Length of Dowel 80mm Length of Dowel 100mmLength of Dowel 60mm
Longer Length, Lower Max
Principal Stress.
Longer Length, Lower Max
Principal Stress.
Limited change in Max Principal Stress Distribution of Lower Brick.
Limited change in Max Principal Stress Distribution of Lower Brick.
Diameter of Dowel/Socket
/mm
Max Principal Stressin Upper Surface of Lower Brick
/MPaChange / %
79.5/80 38.6 1.6
89.5/90 38.0 0
99.5/100 39.6 4.2
Length of Dowel/Socket: 58mm/60mm
Max Principal Stress Distribution of Lower Brick
Max Principal Stress Distribution of Lower Brick
Diameter AnalysisDiameter Analysis
Diameter of Dowel 80mm Diameter of Dowel 90mm Diameter of Dowel 100mm
Position of Dowel/Socket
Max Principal Stressin Upper Surface of Lower Brick
/MPaChange / %
x , y 38.0 0
x+5 , y+5 37.9 -0.3
x-5 , y-5 38.9 2.4
Length of Dowel/Socket: 58mm 、 60mm, Diameter of Dowel/Socket:89.5mm/90mm
x , y x-5 , y-5x+5 , y+5
Max Principal Stress Distribution of Lower Brick
Max Principal Stress Distribution of Lower Brick
Position AnalysisPosition Analysis
Limited change in Max Principal Stress Distribution of Lower Brick.
Limited change in Max Principal Stress Distribution of Lower Brick.
Fillet Radius /mm
Max Principal Stressin Upper Surface of Lower Brick
/MPaChange / %
1.5 43.5 0
2.5 37.1 -15
3.5 33.8 -22
Length of Dowel/Socket: 58mm 、 60mm, Diameter of Dowel/Socket:89.5mm/90mm
Larger Corner radius, Lower Max
Principal Stress.
Larger Corner radius, Lower Max
Principal Stress.
Fillet Radius 1.5 mm Fillet Radius 3.5 mmFillet Radius 2.5 mm
Max Principal Stress Distribution of Lower Brick
Max Principal Stress Distribution of Lower Brick
Corner AnalysisCorner Analysis
ModelCode
Geometrical Parameter of Dowel/Socket Max Principal Stress /MPa
length/mm
Diameter/mm
position/mm
Fillet Radius/mm
Upper Surface of Lower Brick
Lower Brick
1 58/60 89.5/90 x,y
2.5
18.9 38.0
2 78/80 89.5/90 x,y 18.5 30.0
3 98/100 89.5/90 x,y 19.5 23.7
4 58/60 79.5/80 x,y 23.0 38.6
1 58/60 89.5/90 x,y 18.9 38.0
5 58/60 99.5/100 x,y 15.7 39.6
1 58/60 89.5/90 x,y 18.9 38.0
6 58/60 89.5/90x+5y+5
18.4 37.9
7 58/60 89.5/90x-5y-5
18.6 38.9
Stress ResultsStress Results
Length of Dowel/Socket
/mm
Max Principal Stress / MPa
Upper Surface of Lower Brick
Lower Brick
50 18.0 42.0
60 18.9 38.0
70 18.8 31.7
80 18.5 30.0
100 19.5 23.7
120 18.8 22.4
140 19.1 20.4
0 20 40 60 80 100 120 140 1600
10
20
30
40
50
Lower Brick Upper Surface of Lower Brick
Max
Princi
pal S
tress
/ M
Pa
Length of Dowel/Socket / mm
Length of Dowel/Socket AnalysisLength of Dowel/Socket Analysis
Longer Length, Lower Max Principal
Stress in the Lower Brick but Limited
change in Upper Surface of Lower
Brick.
The two curves tend to same value in
longer length.
Longer Length, Lower Max Principal
Stress in the Lower Brick but Limited
change in Upper Surface of Lower
Brick.
The two curves tend to same value in
longer length.
TransformationLength h2
Different Angle
Tensile Stress
Why?Why?
h1
Force
Length of Dowel/Socket
/mm
Transformation of Upper Surface of Lower Brick / mm
50 0.16
60 0.18
70 0.18
80 0.18
100 0.19
120 0.19
140 0.19
Longer length leads to small opening angle, which leads to smaller strain.
Smaller strain results in lower Max Principal Stress.
Longer length leads to small opening angle, which leads to smaller strain.
Smaller strain results in lower Max Principal Stress.
Conclusion
1.Max Principal Stress located at the corner of socket-bottom in the lower brick.
2.Length of Dowel/Socket and Fillet Radius have important implication for Max Principal
Stress of graphite bricks.
3.The Position and Diameter of Dowel/Socket show limited effect on Max Principal Stress
of graphite Brick
Conclusion
1.Max Principal Stress located at the corner of socket-bottom in the lower brick.
2.Length of Dowel/Socket and Fillet Radius have important implication for Max Principal
Stress of graphite bricks.
3.The Position and Diameter of Dowel/Socket show limited effect on Max Principal Stress
of graphite Brick