Measurement method for determination of material properties in condition of rapid heating and high deformation rates.
Jenicek, Stepan ; Masek, Bohuslav
1. INTRODUCTION
Several recent technological processes are typically performed at
high deformation rates and steep temperature gradients. To optimize
technological processes with the support of calculations by, for
example, finite element methods, it is necessary to know precisely the
stress-strain relationship in the whole range of the outer conditions
that might occur during the process and that can change dynamically. It
is often very difficult to establish these parameters in dynamic loading
conditions and standard measurement methods can often not be applied.
This is the reason why a new method has been developed to determine
deformation resistance, yield point, tensile strength, ductility and
contraction of high-strength steels during rapid heating. This method
can be utilized for dynamic tests of material at chosen elevated
temperatures of a specimen. Heating is done by combined resistance
high-frequency method in very short time intervals. It was necessary not
only to design and assemble the experimental set-up but also to develop
a suitable method for evaluating the measured data.
2. EXPERIMENTAL PROGRAMME
2.1 Optimization of specimen shape
It is more convenient when measuring mechanical properties to use
specimens with simple geometry which will be loaded uniaxially and thus,
at least at the beginning, by uniaxial stress. The most common shapes of
specimens are cylinders or prisms. The active part of the specimen has a
shape ensuring homogenous stress distribution. The ends of the specimens
are adjusted to be mounted into the testing machine so that the axis of
the testing bar is aligned exactly with the axis of the machine jaws.
(Drozd, 2001).
Three different specimen shapes were designed by finite element
method for given statistical values of Rm. Two of the main factors of
the optimization process were homogeneous temperature field distribution
in the active part of the specimen and the ability to reach the desired
high deformation rate. The specimen with an active length of 15mm and a
diameter of 5 mm was chosen as the most suitable one after measuring the
temperature field in the axial direction of the specimen. Maximum
relative temperature deviation during heating of the specimen was under
a set value of 5% along the whole active part of the specimen and in the
whole heating temperature interval. The temperature was measured at the
surface of the specimen by an attached thermo-couple and the temperature
field was simultaneously monitored by thermo-vision camera.
2.2 Proposal of testing methodology
The material was tested according to the conditions of the model
process, deformation rate being. From this deformation rate was
calculated the necessary rate of actuator motion as, (1), where Lc is
the tested length (CSN EN ISO 6892-1, 2009). This requested rate was
tested by the order: jump 50 mm in 0.11s. The displacement-time
relationship can be divided into three stages: stage 1- rise time to the
desired rate, stage 2 with constant feed rate and stage 3 of actuator
braking. This time behaviour was not satisfactory because of the
insufficient dynamic of rise time and therefore a new tool was designed
which helps to deform the specimen only when the rate reaches the
desired value, which means at the beginning of stage 2.
This tool was used to perform tensile tests which provided us with
stress-strain diagrams. However, the diagrams did not correspond to the
physical behaviour of the material. FMEA (Failure Mode and Effects
Analysis) was therefore applied and it was found that a measurement
failure had occurred due to an impact on the tool. Position and force
detectors started to give unreal values during this impact.
A special strain gauge component was designed to avoid this
measurement problem. The component consists of four resistive strain
gauges connected into a bridge of two strain gauge couples placed at
opposite sides of the tool. This allowed both temperature and
prospective parasitic bending compensations. Deformation was monitored
during the test by a rapid video extensometer. This recording can be
used to evaluate not only the deformation-time relationship but also to
establish the contraction of the specimen. The video extensometer
offered the possibility of synchronizing the video record with the input
analogue signal with a voltage from 0 to 5 V. An adjustable amplifier
was therefore designed for the strain gauge. It can be used to measure
forces in the range of 0--5 V. Video recording was made at a speed of 10
000 fps, data from the force sensor were recorded with a sampling rate
of 100kHz. A higher frequency of sensor data was chosen to filter off
signal noise caused by induction-resistance heating.
2.3 Evaluation of obtained data
Records from both testing machine and video extensometer were
available after the tests. Information about temperature development,
actuator shift and force were obtained from testing machine data. The
video extensometer provided data from the strain gauge, such as force
development and the changes to the specimens' geometry, elongation,
contraction and local contraction.
Excel software was used to process and evaluate data. With the help
of macros and Visual Basic tools were prepared enabling sensor records
to be read and also from the video extensometer which analysed the
optical record of deformation. Proof yield stress was calculated from
recorded data according to generally known figures used in literature
and standards (CSN EN 10002-5, 1998).
It is necessary to use values from the true stress--true strain
diagram to estimate formability of the material on the basis of a
tensile test or as input data for FEM analysis and technological
calculations.
The low of preservation of volume (AV = 0) is valid in the area of
uniform plastic deformation (from yield point to ultimate strength),
implying:
-- (2)
and thus it must be a assumed that true stress is:
(3)
True relative deformation is given by the sum of small deformation
steps and thus
-- (4)
Once ultimate strength Rm is reached, localised deformation of the
specimen occurs, and it is therefore necessary to calculate true stress
from the changing cross section of the specimen. This is determined from
the optical record made by the video extensometer. The true
stress-strain diagram is then an increasing function in contrast to the
engineering stress-strain diagram which is a decreasing function. The
highest stress in this case corresponds to the true stress in the moment
of fraction.
3. APPLICATION OF TESTING METHOD
[FIGURE 1 OMITTED]
[FIGURE 2 OMITTED]
Measuring method was tested on 42SiCr steel, which was in
structural state with high strength and good ductility obtained by Q-P
process (Quenching and Partitioning). Different testing temperatures
were chosen with regards to temperature instability of multiphase
microstructure and to possible technological impact on this structure. A
five second hold was applied in all the cases. The diagrams for
temperatures of 25[degrees]C a 425[degrees]C are shown here for
illustration purposes (Fig.1, Fig.2).
4. FURTHER PROPOSED PROCEDURE
--Estimation of measurement uncertainty (Nemecek,
2008).
--Testing of developed method for more temperatures and different
materials.
--Equitation (1) does not consider any elastic deformation of
testing equipment (Wozniak, 2010), elastic deformation however does
occur during the experiment, which means that only part of the crossbar
shift rate is transferred to tested specimen. To evaluated this
phenomenon.
--To evaluate the method
5. CONCLUSION
The connection of dynamic testing equipment with highly dynamic
precise heating is the basis for measurement of deformation
characteristics of materials in conditions corresponding to real
dynamical technological processes. The proposed measuring method enables
uniform heating of a specimen from room temperature to several hundred
degrees centigrade in the range of several seconds and then its
deformation with initial strain rates up to 100 [s.sup.-1]. The
deformation force and deformation path can be registered with the help
of a strain gauge system connected to a high speed optical extensometer.
True stress--true strain can then be evaluated from the obtained values.
The advantage of this procedure lies in the fact that it is not limited
by the necking of the specimen. The true stress-strain relationship can
be obtained practically up to the fracture of testing specimens.
6. ACKNOWLEDGEMENTS
This paper includes results obtained within the project 1M06032
Research Centre of Forming Technology.
7. REFERENCES
CSN EN 10002-5. (1998). Kovove materialy--Zkouska tahem Cast 5:
Zkouska tahem za zvysene teploty (Tensile testing of metallic materials.
Part 5: Method of test at elevated temperatures), Ufad pro technickou
normalizaci, metrologii a statni zkusebnictvi, Praha
CSN EN ISO 6892-1. (2009). Kovove materialy--Zkouseni tahem--Cast
1: Zkusebni metoda za pokojove teploty (Tensile testing of metallic
materials. Part 1: Method of test at room temperature Czech version of
the European Standard EN ISO 6892-1:2009), UNMZ, Praha
Drozd, Z. (2001). Deformacni zkouska--cesta k poznani mechanickych
vlastnosti materialu, Available from:
http://fyzweb.cuni.cz/knihovna/deformace/index.htm Accessed: 2010-05-10
Nemecek, P. (2008). Nejistoty mefeni, Ceska spolecnost pro jakost,
ISBN 978-80-02-02089-9, Praha Czech republic
Wozniak, J. (2010). Dopady revize normy ISO 6892-1 na prakticke
provadeni tahovych zkousek Available from:
http://www.sczl.cz/dokumenty/k06_05.pdf Accessed: 2010-05-15