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International Journal of Trend in Scientific Research and Development (IJTSRD)
Volume 6 Issue 7, November-December 2022 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470
@ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 983
Numerical Simulation of Resistance Spot
Welding of Steel Sheets HCT600X+ZF
Denis Cmorej, Ľuboš Kaščák, Julius Hajduk
Department of Technology, Materials and Computer-Supported Production,
Technical University of Košice, Košice, Slovakia
ABSTRACT
Nowadays, there are so many reasons behind utilizing high-strength
steel sheets, more precisely DP (dual-phase) steels in car body
production. Car producers tend to choose steel with optimal
parameters such as great formability and the capacity to absorb the
energy of the collision. HCT600X+ZF steel is among the best-known
and most-used high-strength materials in car body production. The
most used and well-known technology for joining high-strength steel
sheets is precisely the technology of resistance spot welding. RSW
(Resistance spot welding), is the well-known method to join
mentioned materials. Simulation programs are utilized to optimize
the processes of joining before the joining system is carried out. One
of the most popular software for simulating the process of RSW is
Simufact Welding. The article deals with parameter optimization of
RSW (resistance spot welding) for hot-dip zinc-iron-coated dual-
phase steel sheets. The mechanical properties and metallographic
observation of joints created by RSW technology on galvanized steel
sheets were performed. The result of the simulation of the RSW
process was compared with metallographic images after the joining
process.
KEYWORDS: resistance spot welding, optimization, numerical
simulation
How to cite this paper: Denis Cmorej |
Luboš Kašcák | Julius Hajduk
"Numerical Simulation of Resistance
Spot Welding of Steel Sheets
HCT600X+ZF" Published in
International
Journal of Trend in
Scientific Research
and Development
(ijtsrd), ISSN:
2456-6470,
Volume-6 | Issue-7,
December 2022,
pp.983-987, URL:
www.ijtsrd.com/papers/ijtsrd52472.pdf
Copyright © 2022 by author (s) and
International Journal of Trend in
Scientific Research and Development
Journal. This is an
Open Access article
distributed under the
terms of the Creative Commons
Attribution License (CC BY 4.0)
(http://creativecommons.org/licenses/by/4.0)
I. INTRODUCTION
Aspects emphasized in the automotive industry
include design, low vehicle weight, good formability,
and the ability to absorb impact energywithin specific
body parts [1-2].
These aspects have ensured the application of high-
strength steel sheets for specific car-body parts [3].
One of the most widely used high-strength steel is DP
(dual-phase) steel. DP steels offer a unique ratio in
terms of strength and ductility, due to the specific
microstructure of the material, in which the hard
martensitic phase is dispersed in the ductile ferritic
matrix. DP steels are suitable for the manufacture of
safety parts in the automotive industry, such as cross
members, longitudinal beams, and reinforcement [4-
6].
RSW (Resistance Spot Welding) is one of the best-
known and most widely used methods for joining
high-strength DP steels. RSW is a technology that
creates joints without additional material by assisting
the welding current with high intensitywhile applying
a clamping force on the electrodes. One of the
advantages of mentioned technology is the high
intensity of the process as well as the possibility of
automating the process. The resulting quality of the
joints depends on the welding parameters and the type
of material used. The parameters of spot resistance
welding include welding time, welding current, and
electrode clamping force [7-9].
Simulation software is used to improve the processes
of joining/welding before the system is applied in real
conditions. One of the most used software for
simulating the process of RSW is Simufact Welding
[10].
The paper deals with the simulation of the process of
RSW of HCT600X+ZF steel sheets, and by
comparing the results of the simulation with the
welded joints that were created.
IJTSRD52472
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 984
II. METHODOLOGY OF EXPERIMENTS
USED MATERIALS
One type of material was used in the experiment. The
thickness of the tested steel sheets was 1.5 mm. Sheet
type HCT600X+ZF is known to be zinc-iron alloy-
coated (designated as "ZF"), and this coating provides
better corrosion protection compared to zinc-only
coating.
Table 1 shows the basic mechanical properties of the
material used. The chemical composition of the steel
sheet is shown in Table 2.
BASIC MECHANICAL PROPERTIES OF
WELDED MATERIALS
Material
(thickness)
Rp0.2
[MPa]
Rm
[MPa]
A80
[%]
HCT600X+ZF (1.5 mm) 369 633 22.5
CHEMICAL COMPOSITION OF JOINED
MATERIALS IN WT [%]
Material
(thickness)
C Mn P S Cr Mo
HCT600X+Z
(1.5 mm)
0.08 1.78 0.01 0.006 0.21 0.18
For joints formed by RSW (resistance spot welding),
90x40mm specimens were used with a length of
30mm of overlapping. Dimensions of the samples are
defined by STN 05 1122. Fig. 1 shows the dimensions
of the test specimen.
Fig. 1 Test sample
METALLOGRAPHIC OBSERVATION
The change in the microstructure of HCT600X+ZF
material, which took place during the formation of
joints by RSW resistance spot welding, was analyzed
by metallographic observation.
Preparation for metallographic observation included
sampling and embedding in dentacrylic, grinding
using different grit thicknesses of sandpaper,
polishing, and inducing the structure by etching with
the application of a 2% nital solution.
The microscopic analysis of the metallographic
cuttings was performed on a KEYENCE VHX-5000
light optical microscope - see. Fig.2.
Fig 2 KEYENCE VHX-5000
RSW – Resistance Spot Welding
In the experimental part, the joints were formed using
a point pneumatic welding machine BPK20.
Pneumatic spot welder has adjustable welding
parameters and allows the presetting of up to thirty
different special welding programs. In the process
welding process, welding electrodes were made of Cu-
Cr according to ON 42 3039.71.
The samples were classified into groups (sample A
and sample B) according to the value of the welding
current. The welding parameters used for the
HCT600X+ZF material are shown in Fig. 3 and Table
4.
Fig. 3 Welding parameter - clamping force of
electrodes = 9kN (the same for both groups)
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 985
Fig. 4 Welding parameter – welding time and
welding current (sample A=welding time=
0.3ms, welding current I=5,5kA; sample B=
welding time= 0.3ms, welding current I=6.5kA)
SIMUFACT WELDING SOFTWARE
Simufact Welding software has a utilization for
realizing simulations for users working with the
welding technology. Simufact Welding enables the
use of three-dimensional simulations. Different types
of materials specific to the process of welding
technology can be simulated. Also, different
thicknesses of the materials can be simulated. In
practice, simulation software is used to optimize the
welding processes before the values of welding
parameters are implemented in the process (optimal
values are selected).
The workplace of the simulation software Simufact
Welding is shown in fig. 5.
Fig. 5 The workplace of the Simufact Welding
software
The software Simufact Welding was used for the
optimization of the joining process of resistance spot
welding of HCT600X+ZF steel sheets. As part of the
optimization of the resistance spot welding process,
different values of the welding parameters were
compared within the simulations. Based on the
recommendations, welding parameters = the values of
the clamping force of the electrodes=9kN; welding
time= 0.3ms, and electric current = 5,5kA were used
first. When these parameters were used, an optimal
connection did not occur. In the place of the weld
there was insufficient leakage - see fig. 6. For this
reason, it was necessary to optimize the process,
implement several other simulations and select the
most optimal parameters.
Fig. 6 Formation of the weld = sample A
It is possible to declare that the optimal welded joint
was obtained at the values of the clamping force of the
electrodes=9kN; welding time= 0.3ms and electric
current = 6,5kA – see fig. 7. In the process of the
simulation of the process of the welding, the welding
electrodes can only be moved in the vertical position,
with vertical downward movement.
Fig. 7 Formation of the weld = sample B
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 986
The joined sheets - a combination of two steel sheets
for material HCT600X+ZF were defined as
deformable bodies. Welding electrodes were defined
as non-deformable bodies.
III. RESULTS AND DISCUSSION
Resistance spot welding models were validated with
available experimental results. A simulation RSW
model has been developed and extensive numerical
calculations were carried out to find out the optimal
values of welding parameters such as electric current
(electrodes clamping force and welding time were not
changed), resistance spot diameter, and residual stress
distribution of resistance spot welded HCT600X+ZF
joints.
Fig. 8 and Fig. 9 represent a comparison of the cross-
sections between the real joint created by the
resistance spot welding process and the joint resulting
from the simulation. Based on the results, real values
of the process of resistance spot welding can be
compared with values after stimulation. Based on the
visual comparison of the obtained results, it can be
stated with certain tolerance that the results of
resistance spot welding simulations correspond to the
result of the actual welding method.
Fig. 8 A comparison of the cross-sections
between the real joint created by the resistance
spot welding and the welded joint resulting from
the simulation = (sample A)
Fig. 9 A comparison of the cross-sections
between the real joint created by the resistance
spot welding and the welded joint resulting from
the simulation = (sample D)
Conclusion
The paper was devoted to the numerical simulation
and optimization of the resistance spot welding
parameters for HCT600X+ZF steel sheets.
Based on the results of the experiments and based on
the realized simulation, it can be stated:
welding of hot-dip galvanized sheets of
HCT600X+ZF produced fusion welded joints; the
properties which were observed in sample A; a
joint was created without pores and cracks, but
with insufficient leakage.
welding of hot-dip galvanized sheets of
HCT600X+ZF produced fusion welded joints, the
best properties were observed in sample B; a joint
was created without pores and cracks and with
sufficient leakage.
metallographic observation of welded sheets
confirmed the importance of a proper choice of
welding parameters
based on the visual comparison of the obtained
results, it is possible to confirm with certain
tolerance that the results after the simulation
correspond to the result of the actual resistance
spot welding process.
International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470
@ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 987
Acknowledgment
The authors are grateful for the support of
experimental works byproject APVV SK-PL-21-0033
“Research into innovative forming and joining
methods of thin-walled components” and project
APVV-21-0418 “Development of innovative methods
of processing and joining electrical steels for high-
efficiency applications in e-mobility”.
References
[1] Ľ. Kaščák, et al.; Application of modern joining
methods in car production. Processes Examples
Strength. Rzeszów, pp. 143, ISBN 978-80-533-
0820-3, 2013
[2] A. Vita et al.; Comparative life cycle
assessment of low-pressure RTM, compression
RTM and high-pressure RTM manufacturing
processes to produce CFRP car hoods. Procedia
CIRP. Volume 80, pp. 352-357, 2019
[3] D. Cmorej et al.; Analýza spájania
mikrolegovanej ocele HX420LAD, vol. 41, pp.
352-35, 2019
[4] S. Qin et al.; Influence of phase and interface
properties on the stress state dependent fracture
initiation behavior in DP steels through
computational modeling. Materials Science and
Engineering:A. Vol. 776,138981, 2020
[5] Ľ. Kaščák, and J. Viňáš, “Influence of welding
parameters of resistance spot welding on the
quality of welded joints,” Scientific Papers of
University of Rzeszow: Zeszyty Naukowe
Politechniki Rzeszowskiej, vol. 273, pp. 127-
134, 2010
[6] K. Bzowski et al.; Application of statistical
representation of the microstructure to
modeling of phase transformations in DP steels
by the solution of the diffusion equation.
Procedia Manufacturing. Vol. 15, pp. 1847-
1855, 2018
[7] H. Zhang, and J. Senkara, “Resistance welding:
Fundamentals and Applications,” New York:
Taylor & Francis, 2006.
[8] P.S. Wei, and T.H. Wu, “Electrical contact
resistance effect on resistance spot welding,”
International Journal of Heat and Mass
Transfer, vol. 55, pp. 3316-3324, 2012.
[9] H. B. Hernandez, S. K. Panda, Y. Okita, and N.
Y. Zhou, “A study on heat affected zone
softening in resistance spot welded dual phase
steel by nanoindentation,” Journal of Materials
Science, vol. 45, pp. 1638–1647, 2010.
[10] U. Shah et al.; Computational analysis of the
ultrasonic effects on resistance spot welding
process. Journal of Manufacturing Processes,
vol. 81, pp. 191-201, 2022.

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Numerical Simulation of Resistance Spot Welding of Steel Sheets HCT600X ZF

  • 1. International Journal of Trend in Scientific Research and Development (IJTSRD) Volume 6 Issue 7, November-December 2022 Available Online: www.ijtsrd.com e-ISSN: 2456 – 6470 @ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 983 Numerical Simulation of Resistance Spot Welding of Steel Sheets HCT600X+ZF Denis Cmorej, Ľuboš Kaščák, Julius Hajduk Department of Technology, Materials and Computer-Supported Production, Technical University of Košice, Košice, Slovakia ABSTRACT Nowadays, there are so many reasons behind utilizing high-strength steel sheets, more precisely DP (dual-phase) steels in car body production. Car producers tend to choose steel with optimal parameters such as great formability and the capacity to absorb the energy of the collision. HCT600X+ZF steel is among the best-known and most-used high-strength materials in car body production. The most used and well-known technology for joining high-strength steel sheets is precisely the technology of resistance spot welding. RSW (Resistance spot welding), is the well-known method to join mentioned materials. Simulation programs are utilized to optimize the processes of joining before the joining system is carried out. One of the most popular software for simulating the process of RSW is Simufact Welding. The article deals with parameter optimization of RSW (resistance spot welding) for hot-dip zinc-iron-coated dual- phase steel sheets. The mechanical properties and metallographic observation of joints created by RSW technology on galvanized steel sheets were performed. The result of the simulation of the RSW process was compared with metallographic images after the joining process. KEYWORDS: resistance spot welding, optimization, numerical simulation How to cite this paper: Denis Cmorej | Luboš Kašcák | Julius Hajduk "Numerical Simulation of Resistance Spot Welding of Steel Sheets HCT600X+ZF" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-6 | Issue-7, December 2022, pp.983-987, URL: www.ijtsrd.com/papers/ijtsrd52472.pdf Copyright © 2022 by author (s) and International Journal of Trend in Scientific Research and Development Journal. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0) (http://creativecommons.org/licenses/by/4.0) I. INTRODUCTION Aspects emphasized in the automotive industry include design, low vehicle weight, good formability, and the ability to absorb impact energywithin specific body parts [1-2]. These aspects have ensured the application of high- strength steel sheets for specific car-body parts [3]. One of the most widely used high-strength steel is DP (dual-phase) steel. DP steels offer a unique ratio in terms of strength and ductility, due to the specific microstructure of the material, in which the hard martensitic phase is dispersed in the ductile ferritic matrix. DP steels are suitable for the manufacture of safety parts in the automotive industry, such as cross members, longitudinal beams, and reinforcement [4- 6]. RSW (Resistance Spot Welding) is one of the best- known and most widely used methods for joining high-strength DP steels. RSW is a technology that creates joints without additional material by assisting the welding current with high intensitywhile applying a clamping force on the electrodes. One of the advantages of mentioned technology is the high intensity of the process as well as the possibility of automating the process. The resulting quality of the joints depends on the welding parameters and the type of material used. The parameters of spot resistance welding include welding time, welding current, and electrode clamping force [7-9]. Simulation software is used to improve the processes of joining/welding before the system is applied in real conditions. One of the most used software for simulating the process of RSW is Simufact Welding [10]. The paper deals with the simulation of the process of RSW of HCT600X+ZF steel sheets, and by comparing the results of the simulation with the welded joints that were created. IJTSRD52472
  • 2. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 984 II. METHODOLOGY OF EXPERIMENTS USED MATERIALS One type of material was used in the experiment. The thickness of the tested steel sheets was 1.5 mm. Sheet type HCT600X+ZF is known to be zinc-iron alloy- coated (designated as "ZF"), and this coating provides better corrosion protection compared to zinc-only coating. Table 1 shows the basic mechanical properties of the material used. The chemical composition of the steel sheet is shown in Table 2. BASIC MECHANICAL PROPERTIES OF WELDED MATERIALS Material (thickness) Rp0.2 [MPa] Rm [MPa] A80 [%] HCT600X+ZF (1.5 mm) 369 633 22.5 CHEMICAL COMPOSITION OF JOINED MATERIALS IN WT [%] Material (thickness) C Mn P S Cr Mo HCT600X+Z (1.5 mm) 0.08 1.78 0.01 0.006 0.21 0.18 For joints formed by RSW (resistance spot welding), 90x40mm specimens were used with a length of 30mm of overlapping. Dimensions of the samples are defined by STN 05 1122. Fig. 1 shows the dimensions of the test specimen. Fig. 1 Test sample METALLOGRAPHIC OBSERVATION The change in the microstructure of HCT600X+ZF material, which took place during the formation of joints by RSW resistance spot welding, was analyzed by metallographic observation. Preparation for metallographic observation included sampling and embedding in dentacrylic, grinding using different grit thicknesses of sandpaper, polishing, and inducing the structure by etching with the application of a 2% nital solution. The microscopic analysis of the metallographic cuttings was performed on a KEYENCE VHX-5000 light optical microscope - see. Fig.2. Fig 2 KEYENCE VHX-5000 RSW – Resistance Spot Welding In the experimental part, the joints were formed using a point pneumatic welding machine BPK20. Pneumatic spot welder has adjustable welding parameters and allows the presetting of up to thirty different special welding programs. In the process welding process, welding electrodes were made of Cu- Cr according to ON 42 3039.71. The samples were classified into groups (sample A and sample B) according to the value of the welding current. The welding parameters used for the HCT600X+ZF material are shown in Fig. 3 and Table 4. Fig. 3 Welding parameter - clamping force of electrodes = 9kN (the same for both groups)
  • 3. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 985 Fig. 4 Welding parameter – welding time and welding current (sample A=welding time= 0.3ms, welding current I=5,5kA; sample B= welding time= 0.3ms, welding current I=6.5kA) SIMUFACT WELDING SOFTWARE Simufact Welding software has a utilization for realizing simulations for users working with the welding technology. Simufact Welding enables the use of three-dimensional simulations. Different types of materials specific to the process of welding technology can be simulated. Also, different thicknesses of the materials can be simulated. In practice, simulation software is used to optimize the welding processes before the values of welding parameters are implemented in the process (optimal values are selected). The workplace of the simulation software Simufact Welding is shown in fig. 5. Fig. 5 The workplace of the Simufact Welding software The software Simufact Welding was used for the optimization of the joining process of resistance spot welding of HCT600X+ZF steel sheets. As part of the optimization of the resistance spot welding process, different values of the welding parameters were compared within the simulations. Based on the recommendations, welding parameters = the values of the clamping force of the electrodes=9kN; welding time= 0.3ms, and electric current = 5,5kA were used first. When these parameters were used, an optimal connection did not occur. In the place of the weld there was insufficient leakage - see fig. 6. For this reason, it was necessary to optimize the process, implement several other simulations and select the most optimal parameters. Fig. 6 Formation of the weld = sample A It is possible to declare that the optimal welded joint was obtained at the values of the clamping force of the electrodes=9kN; welding time= 0.3ms and electric current = 6,5kA – see fig. 7. In the process of the simulation of the process of the welding, the welding electrodes can only be moved in the vertical position, with vertical downward movement. Fig. 7 Formation of the weld = sample B
  • 4. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 986 The joined sheets - a combination of two steel sheets for material HCT600X+ZF were defined as deformable bodies. Welding electrodes were defined as non-deformable bodies. III. RESULTS AND DISCUSSION Resistance spot welding models were validated with available experimental results. A simulation RSW model has been developed and extensive numerical calculations were carried out to find out the optimal values of welding parameters such as electric current (electrodes clamping force and welding time were not changed), resistance spot diameter, and residual stress distribution of resistance spot welded HCT600X+ZF joints. Fig. 8 and Fig. 9 represent a comparison of the cross- sections between the real joint created by the resistance spot welding process and the joint resulting from the simulation. Based on the results, real values of the process of resistance spot welding can be compared with values after stimulation. Based on the visual comparison of the obtained results, it can be stated with certain tolerance that the results of resistance spot welding simulations correspond to the result of the actual welding method. Fig. 8 A comparison of the cross-sections between the real joint created by the resistance spot welding and the welded joint resulting from the simulation = (sample A) Fig. 9 A comparison of the cross-sections between the real joint created by the resistance spot welding and the welded joint resulting from the simulation = (sample D) Conclusion The paper was devoted to the numerical simulation and optimization of the resistance spot welding parameters for HCT600X+ZF steel sheets. Based on the results of the experiments and based on the realized simulation, it can be stated: welding of hot-dip galvanized sheets of HCT600X+ZF produced fusion welded joints; the properties which were observed in sample A; a joint was created without pores and cracks, but with insufficient leakage. welding of hot-dip galvanized sheets of HCT600X+ZF produced fusion welded joints, the best properties were observed in sample B; a joint was created without pores and cracks and with sufficient leakage. metallographic observation of welded sheets confirmed the importance of a proper choice of welding parameters based on the visual comparison of the obtained results, it is possible to confirm with certain tolerance that the results after the simulation correspond to the result of the actual resistance spot welding process.
  • 5. International Journal of Trend in Scientific Research and Development @ www.ijtsrd.com eISSN: 2456-6470 @ IJTSRD | Unique Paper ID – IJTSRD52472 | Volume – 6 | Issue – 7 | November-December 2022 Page 987 Acknowledgment The authors are grateful for the support of experimental works byproject APVV SK-PL-21-0033 “Research into innovative forming and joining methods of thin-walled components” and project APVV-21-0418 “Development of innovative methods of processing and joining electrical steels for high- efficiency applications in e-mobility”. References [1] Ľ. Kaščák, et al.; Application of modern joining methods in car production. Processes Examples Strength. Rzeszów, pp. 143, ISBN 978-80-533- 0820-3, 2013 [2] A. Vita et al.; Comparative life cycle assessment of low-pressure RTM, compression RTM and high-pressure RTM manufacturing processes to produce CFRP car hoods. Procedia CIRP. Volume 80, pp. 352-357, 2019 [3] D. Cmorej et al.; Analýza spájania mikrolegovanej ocele HX420LAD, vol. 41, pp. 352-35, 2019 [4] S. Qin et al.; Influence of phase and interface properties on the stress state dependent fracture initiation behavior in DP steels through computational modeling. Materials Science and Engineering:A. Vol. 776,138981, 2020 [5] Ľ. Kaščák, and J. Viňáš, “Influence of welding parameters of resistance spot welding on the quality of welded joints,” Scientific Papers of University of Rzeszow: Zeszyty Naukowe Politechniki Rzeszowskiej, vol. 273, pp. 127- 134, 2010 [6] K. Bzowski et al.; Application of statistical representation of the microstructure to modeling of phase transformations in DP steels by the solution of the diffusion equation. Procedia Manufacturing. Vol. 15, pp. 1847- 1855, 2018 [7] H. Zhang, and J. Senkara, “Resistance welding: Fundamentals and Applications,” New York: Taylor & Francis, 2006. [8] P.S. Wei, and T.H. Wu, “Electrical contact resistance effect on resistance spot welding,” International Journal of Heat and Mass Transfer, vol. 55, pp. 3316-3324, 2012. [9] H. B. Hernandez, S. K. Panda, Y. Okita, and N. Y. Zhou, “A study on heat affected zone softening in resistance spot welded dual phase steel by nanoindentation,” Journal of Materials Science, vol. 45, pp. 1638–1647, 2010. [10] U. Shah et al.; Computational analysis of the ultrasonic effects on resistance spot welding process. Journal of Manufacturing Processes, vol. 81, pp. 191-201, 2022.