non linear analysis for superplastic forming
TRANSCRIPT
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INTRODUCTION
Is the ability of materials to exhibit exceptionally high tensile ductility
Superplastic materials may be stretched in tension to elongation typically in excess of 200% and more commonly in the range of 400-2000%
High ductility is obtained only for superplastic materials and requires both the temperature and rate of deformation (strain rate) to be within a limited range
SUPERPLASTICITY
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It is at this state that the material subjected to loading behave non-linearly, ie tends to yield and therefore the stress-strain curve is no more linear.
NON-LINEAR ANALYSIS
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Literature Review Production Technology H.M.T
Manufacturing Engineering and Technology Serope kalpakjian Steve R.Schmid
Finite Element Analysis of Sheet Metal Forming Process Hakim S. Sultan Aljibori Journal : European journal of scientific research Volume : 33, 57-69 Year :2009 This paper was carried out to study the finite element analysis of sheet metal forming
process using the finite element software. Simulation of elastic plastic behavior of sheet metal was carried out under non-linear condition to investigate sheet metal forming process.
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Sheet Metal Forming William F. Hosford and John L. Duncan Journal :JOM volume :51, 39-44 Year :1999 This paper shows how experimental and theoretical contributions have led to the concept of forming
sheet metal under different condition.
The Current State-of-the-Art and the Future in Airframe Manufacturing Using Superplastic Forming Technologies
Daniel G . Sanders Journal : Material Science Forum Volume : 357-359 Year : 2001 Advantages of superplastic forming over conventional are Freedom of design, The ability to build large assemblies with fewer pieces, Inventory reduction,
through-put improvements and cycle time reduction. Cost and weight savings
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Contd… Superplasticity in titanium alloys J.Sieniawski , M.Motyka Journal : Journal of Achievements in Materials and Manufacturing Engineering Volume : 24 Year : 2007 This paper discuss about the effect of microstructure on superplasticity of titanium alloys and also about
mechanical properties of superplastically deformed titanium alloys
Thermal Behaviour modelling of superplastic forming tools Vincent . Velay , Thierry Cuter , Nicolas Guegan Journal :Euro Volume: 27 Year :2008 This paper discuss on at high temperature the superplastic forming tools induce a very complex thermo
mechanical loadings responsible to failure.
Optimization of superplastic forming processes using the the finite element method
Hambli, R. Kobi Journal :IEE Volume :5 Year :2002
In this paper the analysis of the superplastic sheet-forming process is studied by the use of the finite element method.
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SOTWARE USED
CATIA
M.S.C MARC MENTANT
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MATERIAL SELECTED
Ti-6Al-4V
MECHANICAL PROPERTIES OF Ti-6Al-4V
Tensile strength (Mpa) 1000
Proof stress (Mpa) 910
Elastic modulus (Gpa) 114
Strain rate (s-1) -10-4
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PHYSICAL PROPERTIES OF Ti-6Al-4V
Density (g/cm2) 4.42
Melting range(0c) 1649
Specific heat(J/Kg0c) 560
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SPECIFICATION OF THE MODEL
Radius of dome : 25mm
Thickness of sheet: 1 mm
Strain rate : .004s-1
Strain rate sensitivity: 0.65
Strength co-efficient of sheet metal: 1106.45
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MODEL
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THEORETICAL MODELLING
P=pressureK=Co-efficient of friction of sheet metalƐo=strain rate sensitivitySo=initial blank thicknessT=timea=die radius
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Pole thickness Sp= So exp(-ɛt)
Radius of curvature ρ = a So
2 sp (so-sp)
Height of the dome h = ρ – ρ2 - a2
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PRESSURE VS TIMETime(sec)
Pressure(Mpa)
9 1.06
15 1.32
17 1.39
19 1.44
21 1.50
31 1.70
133 1.73
150 1.63
172 1.56
200 1.34
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TIME,POLE THICKNESS AND DOME HEIGHT
Forming Time(sec)
Pole Thickness(mm)
Dome Height(mm)
0 0 0
9 0.9 7
15 0.9 9
31 0.8 11
52 0.75 13
72 0.70 15
92 0.65 17
112 0.63 19
136 0.60 21
172 0.56 23
200 0.53 25
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ANALYTICAL RESULTS
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
20 40 60 80 100 120 140 160 180 200
time (sec)
pres
sure
(mpa
)
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DOME HEIGHT VS POLE THICKNESS
0
5
10
15
20
25
30
0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
pole thickness (mm)
Dom
e H
eigh
t(mm
)
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DOME HEIGHT VS TIME
0
5
10
15
20
25
30
20 40 60 80 100 120 140 160 180 200
Time(sec)
Do
me
Hei
gh
t(m
m)
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FEA RESULTS
MARC-MENTAT software is utilized in the present finite element model for Superplastic forming of Titanium alloy hemispherical domes.
The quarter model is defined using four noded isoperimetric membrane elements. The elements contains only thee translational degrees of freedom at each node , no bending stiffness is included in the formulation.
Uniform pressure is applied on the work piece.
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THICKNESS DISTRIBUTION
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Material – Ti 6Al 4VTemperature – 9270 cStrain rate – 4e-3 / secInitial blank thickness – 1mmDie radius – 25 mm
Finite element model of initial blank with die for dome (Quarter model )
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ANALYTICAL VS FEA RESULTS
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
20 40 60 80 100 120 140 160 180 200
time (sec)
pre
ss
ure
(m
pa
)
Series1
Series2
Series1- Analytical ResultSeries2- FEA Result
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CONCLUSION &RECOMMENDATION
Simulation of superplastic forming process has been carried out using FE method with MARC-MENTAT software
The analysis results show that the dome thickness is more uniform
at lower heights. This approach can be extended to complex product geometries also.
Analytical models generated by various researchers have been reviewed and a simple model suggested for thickness profile is considered in this work for validation through FE methods
This model can be used for the development of a computer program to generate thickness profile of a gas pressure formed spherical dome at any instant of time during the bulging process.
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