Traction behaviour simulation of spot welded joints.
Catana, Dorin
1. INTRODUCTION
Finite element method is a powerful and efficient instrument in
design and scientific research with multiple and various applications,
but also a main component of computer research and design.
The expansion of using the finite element method is due, on the one
hand, to its general character of its fundamental concept formulation,
fact that allowed its utilization in numerous domains of science and
technology, and on the other hand, its capacity to improve studied
physics phenomena comparable with other numeric computation methods,
fact that allowed to be preferred by many specialists.
A high fidelity reflection of materials and structures behaviour is
a major exigency required by designers and used calculus methods being
the primary condition for a rigorous dimensioning and accomplishing for
important material savings, energy and labour. From this point of view,
finite element method (FEM) is superior to all the other calculus
methods.
The possibility of a precise investigation of materials behaviour
is also encouraged by study and spreading of replacing materials which
is another economic advantage.
Developing of this method is reflected by increasing number of
publications and worldwide scientific sessions.
Highly significant is the increasing number of FEM calculus
software, the fact that software companies are preoccupied with
supplying of these products together with calculus equipments as base
soft, and as well, the development of dedicated computers for finite
element calculus and its hardware components, with software included,
which allow general use computers to be able to perform finite element
calculus by a simple installation of the software.
2. THEORETICAL CONSIDERATIONS
FEM is an approximated solving procedure of a large variety of
engineering issues by using the computer. Parts of these problems are
those involving metallic materials welding.
[FIGURE 1 OMITTED]
In order to shape a geometric domain can be used dots, straight or
curved lines, plane or curve surfaces. The geometrical modelling
algorithm is generally based on subdomains, with a convenient choice for
passing from one subdomain to another. For the finite elements with
straight lines, digitised error can be reduced by increasing the number
of nodes and therefore the number of finite elements. For finite
elements with curve edges, digitised error can be reduced due to curve
boundaries of finite elements (Catana, 2004).
For spot welding case (see figure 1) these dimensions and therefore
the allowable stress depends on welding process parameters. Welding can
be performed in a soft or hard regime.
In the case of hard regime, only the welded spot area is brought to
a high temperature, welding being finished before the surface of
elements to be welded in contact with electrodes to reach a high
temperature (Iovanas, 2004). In case of soft regime, a larger metal
volume is heated which exceeds spot welded area and the electrodes in
contact with the metal in plastic state will leave deep marks in the
components to be welded. By comparison the spot dimensions obtained with
these two welding regimes we have:
--[d.sub.hr] > [d.sub.sr] which means that shear resistance of
welded spot with hard regime is higher than that one obtained with soft
regime welding (Novac, 1994);
--[h.sub.hr] < [h.sub.sr] which means that at soft regime a
bigger volume of melted metal is obtained and therefore more dendrite structure, which is more fragile and less resistant; for hard regime
[h.sub.hr] [congruent to] 0.3 H, and for soft regime [h.sub.sr]
[congruent to] 0.9 H.
Therefore the traction behaviour of a spot welded joint will be
tested (see figure 2) (four different spots will be arranged).
[FIGURE 2 OMITTED]
The welding points were arranged as follow:
--in line;
--in square;
--in parallelogram;
--in rhombus.
Due to forces that stress the joining, within the material stress
will be present and when these exceed material breaking strain will
determine the damage of welded joint.
The study of welded spot arrangement influence has been done on
[A.sub.3] (STAS 9485-80) metal sheet samples with the next chemical
composition:
C--max 0.08 %;
Mn--0.2 ... 0.4 %;
Si--0.03 %.
Used parameters of the welding regime as well as the results are
shown in table 1 (Catana & Machedon-Pisu, 2003).
The regime parameters were:
--regime I: I=3 kA, t=3 [per];
--regime II: I= 5 kA, t=5 [per];
--regime III: I= 6 kA t=5 [per].
The parts are warmed (due to Joule-Lentz effect) by connecting them
to the electrical power supply. The amount of necessary heat to perform
the welding was calculated with equation 1:
Q = [I.sup.2.sub.s] x ([R.sub.c] + 2 x [R.sub.p]) x t (1)
where:
[R.sub.c]--resistant of contact;
[R.sub.p]--own resistant of the free heads.
For all regimes the traction speed was: v=6.5 mm/min and the
dimensions of the electrodes were (10 mm diameter for body and 6 mm for
peak). The thickness of metal sheets was of 0.4 mm, spot welding method
being used to join two components of equal thickness and with the
electrodes having the same constructive parameters. After having welding
joint done, these have been tested at shearing traction according to the
standard (Catana, 2005).
[FIGURE 3 OMITTED]
[FIGURE 4 OMITTED]
Mechanical characteristics of used material are:
--yield limit [R.sub.p0,2] (U--Max 240 MPa;
--breaking strength--270 ... 370 MPa;
--breaking elongation--[A.sub.5] min 34 %.
In figure 4 is presented the unwanted case of parallelogram
arrangement welding points. In this case the stress has maximum value
and asymmetrical distribution. The tests were confirmed by simulation
trials for all types of welding points' arrangement.
3. CONCLUSIONS
Spot welding is used to produce body cars of all types in car
industry, electro technical and home appliances. This method fits most
welding operation automation. From the analysis of results obtained
through simulation a conclusion derives that the most convenient
arrangement of welded spots is the square one where developed stresses
are symmetrical and have lower values. Based on tests, line and rhomb
arrangements are not to be preferred taking into consideration the value
of tensions and the required space. Test results showed that
parallelogram arrangement is unwanted and should be avoided when spot
welding procedure is used. Research plan will continue with studying the
influence over traction resistance for spot welded joints as well for
the distance on longitudinal and across direction for different spot
welded arrangements.
The simulation can be improved through a realistic modelling closer
as possible of the way in which forces strain the joint, more precisely
by establishing the volume of welded spot and its position within the
joint.
4. REFERENCES
Catana, D. & Machedon-Pisu, T. (2003). The simulation of
behaviour at traction of spots welded joints. Sudura, Vol. XIII, No. 2,
2003, 23-27, ISSN 1453-0384
Catana, D. (2004). The study through simulation of the stress
developed in the spots welded joints solicit at traction, Proceedings of
International Scientific Conference "Modern Technologies, Quality,
Restructuring" TMCR 2004, Musca, G., pp. 461-464, ISSN 1011-2855,
Jassy, 052004, Bulletin of Polytechnic Institute of Jassy, Jassy
Catana, D. (2005). Theoretic contributions for the plastic
deformation simulation process, Proceedings of International Scientific
Conference ,Modern Technologies, Quality, Restructuring" TMCR 2005,
pp. 333-337, ISBN 9975-9875-4-0, Technical University of Moldova,
05-2005, University of Moldova, Chisinau
Iovanas, R., (2004). Spots pressure welding, Lux Libris, ISBN
973-9240-71-8, Brasov
Novac, G., (1994). Welded joints calculus, Lux Libris, ISBN
973-96308-7-1, Brasov
Tab 1. Breaking strength of spot welded joints.
Spot Regime I Regime II Regime III
arrangement
o o o o 256 433 571
o o 258 497 596
o o
o o 260 532 583
o o
o
o o 229 458 546
o