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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 756
SIMULATIVE ANALYSIS OF TUBE HYDROFORMING PROCESS
B.Sreenivasulu1
, G. Prasanthi2
, T. Naresh Kumar3
1
Asst.Professor, MECH, MITS Madanapalle, A.P, India, sreenivasulub@mits.ac.in
2
Professor, Department of Mechanical Engineering, JNTUA College of Engineering, Anantapur, India
3
P.G.Student, MECH, MITS Madanapalle, A.P, India, nareshpiler@gmail.com
Abstract
The tube hydro forming process (THF) is an unconventional metal forming process, where in tube is deformed internally and thus it is
forced to expand and conform to the shape of the surrounding die. The performance of this process depends on various parameters
like internal pressure, axial loading etc. For FEA simulation, it requires proper combination of material selection, part design and
boundary conditions. The estimated process parameters are optimized using FEA simulations.
In this work, free bulge shaped tube die was modeled by using Auto CAD. Subsequently, the processes were simulated using
DEFORM-3D and it has been verified with experimental work under proper boundary and loading condition. Process parameters
study also been conducted. It has been found that the estimated process parameters, developed branch height and the wall thickness
distribution along different planes are in good coincidence with experimental results.
Keywords: Tube hydroforming, Free bulge forming, DE-FORM Software, EN-31, Axial feeding, internal fluid pressure,
FEA Simulation, loading path.
---------------------------------------------------------------------***----------------------------------------------------------------------
1. INTRODUCTION
Tube hydroforming is a one of the most commonly used
unconventional metal forming process in Automotive and
aerospace industry to produce hallow shapes with complex
geometries by using axial force and internal pressure. Tube
Hydroforming is also called by many other names Such as
bulge forming of tubes, hydraulic pressure and liquid bulge
forming depending on the time and country in which it was
used. In recent years more researches has done on Tube
hydroforming by using FEA software such as LS-DYNA,
ABAQUS, PAM-STAMP, AUTO-FORM, DE-FORM. These
are used to study and analyze the various processes parameters
axial force and internal pressure, friction effect, thickness
distribution. Most failure modes in THF can be classified as
wrinkling, buckling, bursting. These types of failures are
caused by either excessive internal pressure or excessive axial
end feed during the forming process. The principle of free
bulge test is simple; a metal tubular specimen is loaded with
internal pressure and expands, undergoing plastic deformation
until bursting occurs. During the process the tubes locked on
both ends and straighten freely using hydraulic internal
pressure. This paper aims to analyze the hydroforming
process by using DE-FORM software and compare the
simulation results with experimental results The process
provides a number of advantages in comparison with
conventional manufacturing via stamping and welding such
as:
1. Part consolidation resulting in weight reduction of the
component,
2. Weight reduction through more efficient section
design and tailoring of the wall thickness,
3. Reduced tooling cost, dimensional variations and
scrap rate.
4. Improved structural strength and stiffness,
5. Less number of secondary operations.
1.1 Applications of THF
Fig.1. Chevy SSR Hydroformed frame
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 757
Fig.2. Pipe bindings
2. OBJECTIVES
The present research work mainly deals with the following
topics
1. Comparing the hydro forming simulation results
with the experimental results.
2. To investigate the load prediction, velocity
distribution, damage and effective strain during
the hydroforming.
3. To study various process parameters effect on
the maximum branch height and wall thickness.
4. To analyze the tube hydroforming process
failures.
The following steps are involved during the DEFORM
Simulation:
1. Solid modeling
2. Material model
3. Contacts
4. Boundary condition
5. Loading
3. SPECIFICATIONS AND THEORETICAL
CALUCLATIONS
The principle of tube hydroforming is the tube is first filled
with a liquid emulsion of a water-soluble material after which
the die is closed. The tube is then forced to adopt the inner
contour of the die by application of an internal pressure and
two axial forces.
Fig.3 Detailing Specifications of the Tube and die
3.1 Failures in Tube Hydroforming
The risk of bursting is a result of too high internal pressure
and is initiated by a local neck in the tube wall, whereby the
onset of this local necking significantly depends on the initial
tube wall thickness. To prevent this risk it must be ensured
that the tube wall briefly comes into contact with the wall of
the tool at the latest before the onset of necking.
Fig. 4 Failures and Limits in Tube Hydroforming
The risk of buckling is posed at the start of the process by too
high axial loads on the initial tube, and it is also present for the
entire starting phase. So the risk of buckling can be avoided by
compensation the unsupported tube length with increasing in
the section modulus of the tube cross section through the
simultaneous expansion of the tube wall.
Wrinkles are, as exhibited during free forming at the intake
regions of the expansion zone, if the pure-shear path is
selected. These wrinkles cause no problem and are
straightened out during calibration.
3.2 Geometrical Specifications of the Tube
Table 1: Dimensions of the tube
Length
L (mm)
Internal diameter
tube
Di (mm)
Outer diameter
tube
D0 (mm)
Thickness
t0 (mm)
250mm 54.15 57.15 1.5
Table 2: Chemical Composition of EN-31
EN-
31
C Mn Si S Ni Mo P Cr
Wt.
%
1.0
8
0.5
3
0.2
5
0.01
5
0.3
3
0.0
6
0.02
2
1.4
6
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 758
Table 3: Mechanical characteristics EN-31
Density(Kg/m3) 8900
Yield strength (MPa) 110
Modulus of elasticity
(MPa)
215000
Tensile strength
( MPa)
241.59
3.3 Theoretical Calculations
3.3.1 Process Parameter Evaluations
Fig.5 Illustration of free tube length
1. Free tube length
If 20 ≤ d0/t0 ≤ 45 → lf ≤ 2d0
If d0/t0 > 45 → lf <<2d0
If d0/t0 <20 → lf > 2d0
2. Corner radius of the die
R1 = 3t
3. Internal Pressure Limits
1. Internal pressure at yielding is calculated by
2. Maximum internal pressure can be calculated by
4. Sealing force
5. Friction force
3.3.2 Input Parameters
Internal pressure at yielding
Internal pressure at bursting
4. MODELING AND SIMULATIONS
4.1 Modeling of Tube, Dies and Axial Plungers
The solid models of tubler blank, top die and bottom die, axial
plungers with proper dimensions are shown below figures.
Fig.6 Solid Model Tubular blank
4.1.1 Tube blank details
Length L = 250 mm
Internal diameter Di = 54.15 mm
Outer diameter of tube D0 = 57.15 mm
Thickness of tube t0 = 1.5 mm
4.1.2 Die, Plunger for free bulge
Two upper and lower dies are modeled by using Auto cad as
shown in below. Model of the die is, as shown in the Figure.7
 
 00
02
tD
t
P yyi


 
 00
04
tD
t
P ubi

 
)( 00 sldPF ifriction  
ysealing tRF  00
 
 00
02
tD
t
P yyi

 
 
Mpa110
5.115.57
5.1*2
2034 


 
Mpa59.241
5.115.57
5.1*4
39.2240 


 
 00
04
tD
t
P ubi

 
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 759
Fig.7 Solid Model of die for free bulge forming
Die length Ld. = 250 mm
(Length perpendicular to tube axis)
Width b = 171.45 mm
(Width parallel to the tube axis)
Corner radius R1 = 5 mm
Tube cavity diameter d0 = 57.15 mm
Height of die H= 110 mm
The diameters of the two axial Plungers are same and models
of axial plunger shown in figure.8
Fig.8 Solid model of axial plunger
4.2 Fem Simulation Procedure
During simulation of Tube hydro firming process using
computer, we need to create computer models of the
deformation system and the metal forming process. Through
the last few years it has been discovered that it is expensive
and time consuming to use trial and error for the investigation
of tube hydroforming process and conventional metal forming
process. The application of numerical simulation of the
hydroforming process was help to engineers efficiently
improve the process development avoiding the cost and
limitations of real world parts.
Fig.9 Flow Chart for the Simulation
DEFORM is a Finite Element Method (FEM) based process
simulation system designed to analyze various forming and
heat treatment processes used by metal forming. By simulating
manufacturing processes on a computer, this advanced tool
allows engineers and designers to reduce the need for costly
shop floor trials and redesign of tooling and processes.
1. Improve tool and die design to reduce production and
material costs.
2. Shorten lead time in bringing new products to the
market.
For dies, rigid analysis was selected and the tube is
having have Isotropic behavior and after mesh verification
the simulation and experimental results were compared.
Material used for this analysis is EN -31. Mechanical and
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 760
physical properties and tube dimensions are shown in Tables.
The following steps are involved during FEM based
DEFORM simulation process.
The objective of this work is to analyze the forming process in
detail, and compare the finite element simulation results with
the corresponding experiment results. Since complete FEM
formulation using DEFOERM software for THF is well
established, the mathematical calculations are not discussed
here.
5. RESULTS & DISCUSSION
The various simulated process parameters values are
compared with experimental values below.
5.1 Branch height
The final branch height (H) for free bulge forming from the
simulation results is compared with the hydro formed
experimental sample’s branch height. Table: 5 show the
results of the final branch height development. The maximum
deviation in the branch height obtained from simulation is
within ±5.9 % of the experimental value. The variation in the
simulation result may be due to various factors such as
(i) Accuracy of finite element modeling,
(ii) Frequently changing boundary and friction
conditions during the forming process and
(iii) Error in measurement of the wall thickness.
Table.5 Branch height comparison—experiment and
simulation results
Free-bulge
Maximum Internal pressure (MPa) 186
Maximum Feed (mm) 5.37
Branch height (mm) (Experimental) 9.81
Branch height (mm) (Simulation) 9.23
5.2 Effects of Variation of Internal Pressure to the
Branch Height
Simulations of free bulge forming are conducted to study the
effects of variation of internal pressure on the final branch
height (H) development. The boundary conditions and
material properties used are same as those used for previous
simulations with a tube length of 250 mm and die corner
radius of 5 mm. The plots in Fig.10 shows the relationship
between branch heights, with the increase of pressure the
branch height also increased. The graph shows the comparison
between the simulated and experimental branch heights. And
it is observed that the branch height in simulation is very much
closer to the experimental bulge heights. So it is concluded
that the simulated result value are reliable.
Fig.10 Experimental and simulated branch height vs. pressure
The free bulge tubes are modeled with 22485 tetrahedral
mapped meshed elements for the deformable blank portion
(i.e. tube). Contact boundary conditions of dies and plungers
are also specified. The loading paths/boundary conditions used
for the simulations were matched with the loading paths as
used length of the tube, i.e. from the center or forzy-plane
point of maximum branch height to towards tube end. Due to
the presence of plungers the wall thickness at the tube end has
decreased in comparison to the straight portion of the tube.
Thus in the wall thickness plots the thickness at the tube end
was ignored.
Fig.11 Simulation of free forming
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 761
5.3 Load on Axial Punches
The deformation load during free bulging of hydro forming
simulation is shown in Fig.12 There are two different portions
in the deformation loading path. Firstly, deformation load
increases rapidly as shown in figure until initial flow of the
central part of the tube. After this, the load decreases to a
lower rate until the end of free forming.
Fig.12 Load prediction in x load
5.4 Velocity Distribution
Velocity distribution is shown in Fig.13 for free bulge hydro
tube forming. It is lower at the ends of the tube blank and is
higher at the center of the tube. This is because the axial load
is more effective at the ends of the tube. But in the case of free
bulge, this velocity has distributed up to the center of the tube
because more material is moving to the deformation zone. At
the ends of the tube, nodal velocity for free bulge is 0.503
mm/s.
Fig.13 Velocity distribution of free bulges forming THF
The axial feed between two axial plungers i.e., objet4 and
object5 are shown in Fig.14.The axial feed is mutually applied
with the corresponding time. The velocity is increases with the
time increment up to 1mm/sec and then maintains constantly
show in fig.14
Fig. 14 Time vs. velocity distribution in x direction
5.5 Effective Strain
The distribution of Effective plastic strain is shown in Fig.15
the distribution in the center of the tube is biggest value of
effective strain but no failure occurs due to predominant
compressive strain. In the fig shows red colour zone part of
the tube, effective strain is smaller than that in the center, but
tensile strain is predominant, so this is the region where failure
occurs. Another important aspect is the radius region bellow
the plane part in the tube. It has a similar behavior of biaxial
stretching.
Fig. 15 strain effective with mesh mode
5.6 Stress Effective
Effective stress distribution for free bulge forming is shown in
Fig. Due to compressive load, the stresses occur at the ends of
tube. At the center of the tube, the tangential stresses are
predominant. These tangential stresses occur due to internal
pressure. Due to higher tangential stress at the center of the
tube (at the protrusion), fracture occurs shows in fig16
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 762
Fig.16 Stress Effective with Mesh
The experimental results of free bulge forming compared with
THF simulation results with proper boundary conditions and
loading paths. The DEFORM-3D simulation results for branch
height obtained and the strain and stress effective distribution
during forming, total velocity travel are compared with
experimental results. Various simulation results can also be
used for different parametric studies using the postprocessor
of the simulation solver.
CONCLUSIONS
From various simulations conducted for free bulge shaped
tubes, it can be concluded that, in order to form a part with
relatively uniform wall thickness throughout the new
geometry while simultaneously maximizing the part
expansion, it is quite important to select the optimum tube
blank length, die radius and suitable contact lubrication
conditions.
From the various parameter studies, the wall thickness and the
branch height are most sensitive to friction, axial load, and
internal pressure. It is found that a maximum velocity takes
place in the plunger movement direction, whereas in
transverse direction there is comparatively lower velocity.
REFERENCES
[1]. Analytical modeling of tube hydroforming Nader Asnafi
Volvo Car Components Corporation or Industrial
Development Centre, Olofstro¨m, Sweden. Thin-Walled
Structures 34 (1999) 295– 330
[2]. Suwat Jirathearanat a, Christophe Hartl b, Taylan Altan a.
Hydroforming of Y-shapes—product and process design using
FEA Simulation and experiments. an Engineering Research
Center for Net Shape Manufacturing, The Ohio State
University, 1971 Neil Avenue, Columbus, OH 43210, USA,
SPS Research Center, Aalen, Germany. Journal of Materials
Processing Technology 146 (2004) 124–129
[3]. B.W. Williams a, M.J.Worswick G. Amours b, A. Rahem
b, R. Mayerc Influence of forming effects on the axial crush
response of hydro formed aluminum alloy tubes. International
Journal of Impact Engineering 37 (2010) 1008e1020
[4]. Muammer KocËa Taylan Altanb. An overall review of the
tube hydroforming (THF) technology. Journal of Materials
Processing Technology 108 (2001) 384±393
[5]. J.Crappsa, E.B.Marinb, M.F.Horstemeyera,b, R.Yassarc,
P.T.Wangb. Internal state variable plasticity-damage modeling
of the copper tee-shaped tube hydroforming process Journal of
Materials Processing Technology 210 (2010) 1726–1737
[6]. Nathalie Boudeau a,b,n, PierrickMale´ cot a,b. a ENSMM,
26rueEpitaphe,25030Besanc-on Cedex,France b FEMTO-ST,
DepartmentofAppliedMechanics,24rueEpitaphe,25000Besanc-
on, France. A simplified analytical model for post-processing
experimental results from tube bulging test: Theory,
experimentations, simulations. International Journal of
Mechanical Sciences 65 (2012) 1–11.
[7]. Amir Hassannejadasl a,⇑ , Daniel E. Green a, William J.
Altenhof a, Chris Maris a, Murray Mason b. Numerical
modeling of multi-stage tube hydro piercing. Materials and
Design 46 (2013) 235–246.
[8]. Muammer Koc, Eren Billur, Ömer Necati Cora. An
experimental study on the comparative assessment of
hydraulic bulge test analysis methods Materials and Design
.32 (2011) 272–281
[9]. Abed Alas wad, K.Y. Benyounis, A.G. Olabi. Finite
element comparison of single and bi-layered tube
hydroforming processes. Simulation Modeling Practice and
Theory 19 (2011) 1584–1593.
[10]. A. Alas wad, K.Y. Benyounis, A.G. Olabi. Tube
hydroforming process: A reference guide. Materials and
Design 33 (2012) 328–339.
[11]. Xianfeng Chena, Zhongqi Yua, Bo Houa, Shuhui Li a,b,
Zhongqin Lina,b. A theoretical and experimental study on
forming limit diagram for a seamed tube hydroforming
Journal of Materials Processing Technology 211 (2011) 2012–
2021
[12]. M. Mirzaalia, G. H. Liaghata, H. Moslemi Naeinia,
S.M.H. Seyedkashia, K.Shojaeeb. Optimization of Tube
Hydroforming Process Using Simulated Annealing Algorithm
Procedia Engineering 10 (2011) 3012–3019.
[13]. Yannis P.Korkolis 1,SteliosKyriakides. Hydroforming of
anisotropic aluminum tubes: Part I experiments. International
Journal of Mechanical Sciences 53 (2011) 75–82.
[14]. Santosh Kumar• B. Sreenivasulu A Generative CAPP
System for Tube Hydro Forming, Journal of the Institution of
Engineers (India): Series C (January–March 2012) 93(1):1–2.
BIOGRAPHIES
Mr.Bathina sreenivasulu, Assistant professor
in Mechanical Engineering Department,
Madanapalle institute of technology and
sciences, Angallu, Madanapalle. He has 5 years
of teaching experience and 3 years of industrial
experience. He completed M.Tech in 2007 at
Institute of technology, Banaras Hindu University, Varanasi
and pursuing Ph.D. at JNTUA College of engineering,
Anantapur Under the guidance of Dr.G.Prasanthi. He had
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 763
guided 3 M.Tech projects and published 8 papers in various
National and International Journals and Conferences.
Dr.G.Prasanthi, Professor in Mechanical
Engineering Department, JNTUA College
of Engineering, Anantapur. She has 18
years of teaching experience. She has
guided 22 M.Tech projects and supervising
9 Ph.D students. She has published about
28 papers in various National and International Journals and
Conferences. She has completed an AICTE (R&D) Project
―Multi- Attribute Decision Models for the Design and
Operation of FMS ". Her areas of interest are CAD/CAM,
Manufacturing Systems Engineering and Energy
Conservation. She served as Board of Studies chairman for
Mechanical Engineering in 2011 at JNTUA CE, Anantapur.
T.Naresh Kumar, Pursuing M.Tech
(Machine design) in Madanapalle institute
of technology and sciences, Angallu,
Madanapalle. He completed B.Tech at Sri
Venkateswara College of engineering and
technology in Mechanical Engineering. He
has received his diploma in Automobile engineering in 2005.

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Simulative analysis of tube hydroforming process

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 756 SIMULATIVE ANALYSIS OF TUBE HYDROFORMING PROCESS B.Sreenivasulu1 , G. Prasanthi2 , T. Naresh Kumar3 1 Asst.Professor, MECH, MITS Madanapalle, A.P, India, sreenivasulub@mits.ac.in 2 Professor, Department of Mechanical Engineering, JNTUA College of Engineering, Anantapur, India 3 P.G.Student, MECH, MITS Madanapalle, A.P, India, nareshpiler@gmail.com Abstract The tube hydro forming process (THF) is an unconventional metal forming process, where in tube is deformed internally and thus it is forced to expand and conform to the shape of the surrounding die. The performance of this process depends on various parameters like internal pressure, axial loading etc. For FEA simulation, it requires proper combination of material selection, part design and boundary conditions. The estimated process parameters are optimized using FEA simulations. In this work, free bulge shaped tube die was modeled by using Auto CAD. Subsequently, the processes were simulated using DEFORM-3D and it has been verified with experimental work under proper boundary and loading condition. Process parameters study also been conducted. It has been found that the estimated process parameters, developed branch height and the wall thickness distribution along different planes are in good coincidence with experimental results. Keywords: Tube hydroforming, Free bulge forming, DE-FORM Software, EN-31, Axial feeding, internal fluid pressure, FEA Simulation, loading path. ---------------------------------------------------------------------***---------------------------------------------------------------------- 1. INTRODUCTION Tube hydroforming is a one of the most commonly used unconventional metal forming process in Automotive and aerospace industry to produce hallow shapes with complex geometries by using axial force and internal pressure. Tube Hydroforming is also called by many other names Such as bulge forming of tubes, hydraulic pressure and liquid bulge forming depending on the time and country in which it was used. In recent years more researches has done on Tube hydroforming by using FEA software such as LS-DYNA, ABAQUS, PAM-STAMP, AUTO-FORM, DE-FORM. These are used to study and analyze the various processes parameters axial force and internal pressure, friction effect, thickness distribution. Most failure modes in THF can be classified as wrinkling, buckling, bursting. These types of failures are caused by either excessive internal pressure or excessive axial end feed during the forming process. The principle of free bulge test is simple; a metal tubular specimen is loaded with internal pressure and expands, undergoing plastic deformation until bursting occurs. During the process the tubes locked on both ends and straighten freely using hydraulic internal pressure. This paper aims to analyze the hydroforming process by using DE-FORM software and compare the simulation results with experimental results The process provides a number of advantages in comparison with conventional manufacturing via stamping and welding such as: 1. Part consolidation resulting in weight reduction of the component, 2. Weight reduction through more efficient section design and tailoring of the wall thickness, 3. Reduced tooling cost, dimensional variations and scrap rate. 4. Improved structural strength and stiffness, 5. Less number of secondary operations. 1.1 Applications of THF Fig.1. Chevy SSR Hydroformed frame
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 757 Fig.2. Pipe bindings 2. OBJECTIVES The present research work mainly deals with the following topics 1. Comparing the hydro forming simulation results with the experimental results. 2. To investigate the load prediction, velocity distribution, damage and effective strain during the hydroforming. 3. To study various process parameters effect on the maximum branch height and wall thickness. 4. To analyze the tube hydroforming process failures. The following steps are involved during the DEFORM Simulation: 1. Solid modeling 2. Material model 3. Contacts 4. Boundary condition 5. Loading 3. SPECIFICATIONS AND THEORETICAL CALUCLATIONS The principle of tube hydroforming is the tube is first filled with a liquid emulsion of a water-soluble material after which the die is closed. The tube is then forced to adopt the inner contour of the die by application of an internal pressure and two axial forces. Fig.3 Detailing Specifications of the Tube and die 3.1 Failures in Tube Hydroforming The risk of bursting is a result of too high internal pressure and is initiated by a local neck in the tube wall, whereby the onset of this local necking significantly depends on the initial tube wall thickness. To prevent this risk it must be ensured that the tube wall briefly comes into contact with the wall of the tool at the latest before the onset of necking. Fig. 4 Failures and Limits in Tube Hydroforming The risk of buckling is posed at the start of the process by too high axial loads on the initial tube, and it is also present for the entire starting phase. So the risk of buckling can be avoided by compensation the unsupported tube length with increasing in the section modulus of the tube cross section through the simultaneous expansion of the tube wall. Wrinkles are, as exhibited during free forming at the intake regions of the expansion zone, if the pure-shear path is selected. These wrinkles cause no problem and are straightened out during calibration. 3.2 Geometrical Specifications of the Tube Table 1: Dimensions of the tube Length L (mm) Internal diameter tube Di (mm) Outer diameter tube D0 (mm) Thickness t0 (mm) 250mm 54.15 57.15 1.5 Table 2: Chemical Composition of EN-31 EN- 31 C Mn Si S Ni Mo P Cr Wt. % 1.0 8 0.5 3 0.2 5 0.01 5 0.3 3 0.0 6 0.02 2 1.4 6
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 758 Table 3: Mechanical characteristics EN-31 Density(Kg/m3) 8900 Yield strength (MPa) 110 Modulus of elasticity (MPa) 215000 Tensile strength ( MPa) 241.59 3.3 Theoretical Calculations 3.3.1 Process Parameter Evaluations Fig.5 Illustration of free tube length 1. Free tube length If 20 ≤ d0/t0 ≤ 45 → lf ≤ 2d0 If d0/t0 > 45 → lf <<2d0 If d0/t0 <20 → lf > 2d0 2. Corner radius of the die R1 = 3t 3. Internal Pressure Limits 1. Internal pressure at yielding is calculated by 2. Maximum internal pressure can be calculated by 4. Sealing force 5. Friction force 3.3.2 Input Parameters Internal pressure at yielding Internal pressure at bursting 4. MODELING AND SIMULATIONS 4.1 Modeling of Tube, Dies and Axial Plungers The solid models of tubler blank, top die and bottom die, axial plungers with proper dimensions are shown below figures. Fig.6 Solid Model Tubular blank 4.1.1 Tube blank details Length L = 250 mm Internal diameter Di = 54.15 mm Outer diameter of tube D0 = 57.15 mm Thickness of tube t0 = 1.5 mm 4.1.2 Die, Plunger for free bulge Two upper and lower dies are modeled by using Auto cad as shown in below. Model of the die is, as shown in the Figure.7    00 02 tD t P yyi      00 04 tD t P ubi    )( 00 sldPF ifriction   ysealing tRF  00    00 02 tD t P yyi      Mpa110 5.115.57 5.1*2 2034      Mpa59.241 5.115.57 5.1*4 39.2240       00 04 tD t P ubi   
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 759 Fig.7 Solid Model of die for free bulge forming Die length Ld. = 250 mm (Length perpendicular to tube axis) Width b = 171.45 mm (Width parallel to the tube axis) Corner radius R1 = 5 mm Tube cavity diameter d0 = 57.15 mm Height of die H= 110 mm The diameters of the two axial Plungers are same and models of axial plunger shown in figure.8 Fig.8 Solid model of axial plunger 4.2 Fem Simulation Procedure During simulation of Tube hydro firming process using computer, we need to create computer models of the deformation system and the metal forming process. Through the last few years it has been discovered that it is expensive and time consuming to use trial and error for the investigation of tube hydroforming process and conventional metal forming process. The application of numerical simulation of the hydroforming process was help to engineers efficiently improve the process development avoiding the cost and limitations of real world parts. Fig.9 Flow Chart for the Simulation DEFORM is a Finite Element Method (FEM) based process simulation system designed to analyze various forming and heat treatment processes used by metal forming. By simulating manufacturing processes on a computer, this advanced tool allows engineers and designers to reduce the need for costly shop floor trials and redesign of tooling and processes. 1. Improve tool and die design to reduce production and material costs. 2. Shorten lead time in bringing new products to the market. For dies, rigid analysis was selected and the tube is having have Isotropic behavior and after mesh verification the simulation and experimental results were compared. Material used for this analysis is EN -31. Mechanical and
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 760 physical properties and tube dimensions are shown in Tables. The following steps are involved during FEM based DEFORM simulation process. The objective of this work is to analyze the forming process in detail, and compare the finite element simulation results with the corresponding experiment results. Since complete FEM formulation using DEFOERM software for THF is well established, the mathematical calculations are not discussed here. 5. RESULTS & DISCUSSION The various simulated process parameters values are compared with experimental values below. 5.1 Branch height The final branch height (H) for free bulge forming from the simulation results is compared with the hydro formed experimental sample’s branch height. Table: 5 show the results of the final branch height development. The maximum deviation in the branch height obtained from simulation is within ±5.9 % of the experimental value. The variation in the simulation result may be due to various factors such as (i) Accuracy of finite element modeling, (ii) Frequently changing boundary and friction conditions during the forming process and (iii) Error in measurement of the wall thickness. Table.5 Branch height comparison—experiment and simulation results Free-bulge Maximum Internal pressure (MPa) 186 Maximum Feed (mm) 5.37 Branch height (mm) (Experimental) 9.81 Branch height (mm) (Simulation) 9.23 5.2 Effects of Variation of Internal Pressure to the Branch Height Simulations of free bulge forming are conducted to study the effects of variation of internal pressure on the final branch height (H) development. The boundary conditions and material properties used are same as those used for previous simulations with a tube length of 250 mm and die corner radius of 5 mm. The plots in Fig.10 shows the relationship between branch heights, with the increase of pressure the branch height also increased. The graph shows the comparison between the simulated and experimental branch heights. And it is observed that the branch height in simulation is very much closer to the experimental bulge heights. So it is concluded that the simulated result value are reliable. Fig.10 Experimental and simulated branch height vs. pressure The free bulge tubes are modeled with 22485 tetrahedral mapped meshed elements for the deformable blank portion (i.e. tube). Contact boundary conditions of dies and plungers are also specified. The loading paths/boundary conditions used for the simulations were matched with the loading paths as used length of the tube, i.e. from the center or forzy-plane point of maximum branch height to towards tube end. Due to the presence of plungers the wall thickness at the tube end has decreased in comparison to the straight portion of the tube. Thus in the wall thickness plots the thickness at the tube end was ignored. Fig.11 Simulation of free forming
  • 6. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 761 5.3 Load on Axial Punches The deformation load during free bulging of hydro forming simulation is shown in Fig.12 There are two different portions in the deformation loading path. Firstly, deformation load increases rapidly as shown in figure until initial flow of the central part of the tube. After this, the load decreases to a lower rate until the end of free forming. Fig.12 Load prediction in x load 5.4 Velocity Distribution Velocity distribution is shown in Fig.13 for free bulge hydro tube forming. It is lower at the ends of the tube blank and is higher at the center of the tube. This is because the axial load is more effective at the ends of the tube. But in the case of free bulge, this velocity has distributed up to the center of the tube because more material is moving to the deformation zone. At the ends of the tube, nodal velocity for free bulge is 0.503 mm/s. Fig.13 Velocity distribution of free bulges forming THF The axial feed between two axial plungers i.e., objet4 and object5 are shown in Fig.14.The axial feed is mutually applied with the corresponding time. The velocity is increases with the time increment up to 1mm/sec and then maintains constantly show in fig.14 Fig. 14 Time vs. velocity distribution in x direction 5.5 Effective Strain The distribution of Effective plastic strain is shown in Fig.15 the distribution in the center of the tube is biggest value of effective strain but no failure occurs due to predominant compressive strain. In the fig shows red colour zone part of the tube, effective strain is smaller than that in the center, but tensile strain is predominant, so this is the region where failure occurs. Another important aspect is the radius region bellow the plane part in the tube. It has a similar behavior of biaxial stretching. Fig. 15 strain effective with mesh mode 5.6 Stress Effective Effective stress distribution for free bulge forming is shown in Fig. Due to compressive load, the stresses occur at the ends of tube. At the center of the tube, the tangential stresses are predominant. These tangential stresses occur due to internal pressure. Due to higher tangential stress at the center of the tube (at the protrusion), fracture occurs shows in fig16
  • 7. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 762 Fig.16 Stress Effective with Mesh The experimental results of free bulge forming compared with THF simulation results with proper boundary conditions and loading paths. The DEFORM-3D simulation results for branch height obtained and the strain and stress effective distribution during forming, total velocity travel are compared with experimental results. Various simulation results can also be used for different parametric studies using the postprocessor of the simulation solver. CONCLUSIONS From various simulations conducted for free bulge shaped tubes, it can be concluded that, in order to form a part with relatively uniform wall thickness throughout the new geometry while simultaneously maximizing the part expansion, it is quite important to select the optimum tube blank length, die radius and suitable contact lubrication conditions. From the various parameter studies, the wall thickness and the branch height are most sensitive to friction, axial load, and internal pressure. It is found that a maximum velocity takes place in the plunger movement direction, whereas in transverse direction there is comparatively lower velocity. REFERENCES [1]. Analytical modeling of tube hydroforming Nader Asnafi Volvo Car Components Corporation or Industrial Development Centre, Olofstro¨m, Sweden. Thin-Walled Structures 34 (1999) 295– 330 [2]. Suwat Jirathearanat a, Christophe Hartl b, Taylan Altan a. Hydroforming of Y-shapes—product and process design using FEA Simulation and experiments. an Engineering Research Center for Net Shape Manufacturing, The Ohio State University, 1971 Neil Avenue, Columbus, OH 43210, USA, SPS Research Center, Aalen, Germany. Journal of Materials Processing Technology 146 (2004) 124–129 [3]. B.W. Williams a, M.J.Worswick G. Amours b, A. Rahem b, R. Mayerc Influence of forming effects on the axial crush response of hydro formed aluminum alloy tubes. International Journal of Impact Engineering 37 (2010) 1008e1020 [4]. Muammer KocËa Taylan Altanb. An overall review of the tube hydroforming (THF) technology. Journal of Materials Processing Technology 108 (2001) 384±393 [5]. J.Crappsa, E.B.Marinb, M.F.Horstemeyera,b, R.Yassarc, P.T.Wangb. Internal state variable plasticity-damage modeling of the copper tee-shaped tube hydroforming process Journal of Materials Processing Technology 210 (2010) 1726–1737 [6]. Nathalie Boudeau a,b,n, PierrickMale´ cot a,b. a ENSMM, 26rueEpitaphe,25030Besanc-on Cedex,France b FEMTO-ST, DepartmentofAppliedMechanics,24rueEpitaphe,25000Besanc- on, France. A simplified analytical model for post-processing experimental results from tube bulging test: Theory, experimentations, simulations. International Journal of Mechanical Sciences 65 (2012) 1–11. [7]. Amir Hassannejadasl a,⇑ , Daniel E. Green a, William J. Altenhof a, Chris Maris a, Murray Mason b. Numerical modeling of multi-stage tube hydro piercing. Materials and Design 46 (2013) 235–246. [8]. Muammer Koc, Eren Billur, Ömer Necati Cora. An experimental study on the comparative assessment of hydraulic bulge test analysis methods Materials and Design .32 (2011) 272–281 [9]. Abed Alas wad, K.Y. Benyounis, A.G. Olabi. Finite element comparison of single and bi-layered tube hydroforming processes. Simulation Modeling Practice and Theory 19 (2011) 1584–1593. [10]. A. Alas wad, K.Y. Benyounis, A.G. Olabi. Tube hydroforming process: A reference guide. Materials and Design 33 (2012) 328–339. [11]. Xianfeng Chena, Zhongqi Yua, Bo Houa, Shuhui Li a,b, Zhongqin Lina,b. A theoretical and experimental study on forming limit diagram for a seamed tube hydroforming Journal of Materials Processing Technology 211 (2011) 2012– 2021 [12]. M. Mirzaalia, G. H. Liaghata, H. Moslemi Naeinia, S.M.H. Seyedkashia, K.Shojaeeb. Optimization of Tube Hydroforming Process Using Simulated Annealing Algorithm Procedia Engineering 10 (2011) 3012–3019. [13]. Yannis P.Korkolis 1,SteliosKyriakides. Hydroforming of anisotropic aluminum tubes: Part I experiments. International Journal of Mechanical Sciences 53 (2011) 75–82. [14]. Santosh Kumar• B. Sreenivasulu A Generative CAPP System for Tube Hydro Forming, Journal of the Institution of Engineers (India): Series C (January–March 2012) 93(1):1–2. BIOGRAPHIES Mr.Bathina sreenivasulu, Assistant professor in Mechanical Engineering Department, Madanapalle institute of technology and sciences, Angallu, Madanapalle. He has 5 years of teaching experience and 3 years of industrial experience. He completed M.Tech in 2007 at Institute of technology, Banaras Hindu University, Varanasi and pursuing Ph.D. at JNTUA College of engineering, Anantapur Under the guidance of Dr.G.Prasanthi. He had
  • 8. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 02 Issue: 11 | Nov-2013, Available @ http://www.ijret.org 763 guided 3 M.Tech projects and published 8 papers in various National and International Journals and Conferences. Dr.G.Prasanthi, Professor in Mechanical Engineering Department, JNTUA College of Engineering, Anantapur. She has 18 years of teaching experience. She has guided 22 M.Tech projects and supervising 9 Ph.D students. She has published about 28 papers in various National and International Journals and Conferences. She has completed an AICTE (R&D) Project ―Multi- Attribute Decision Models for the Design and Operation of FMS ". Her areas of interest are CAD/CAM, Manufacturing Systems Engineering and Energy Conservation. She served as Board of Studies chairman for Mechanical Engineering in 2011 at JNTUA CE, Anantapur. T.Naresh Kumar, Pursuing M.Tech (Machine design) in Madanapalle institute of technology and sciences, Angallu, Madanapalle. He completed B.Tech at Sri Venkateswara College of engineering and technology in Mechanical Engineering. He has received his diploma in Automobile engineering in 2005.