Using doe to improve sintered basalt mechanical properties.
Pugna, Adrian Pavel ; Mocan, Marian Liviu ; Negru Strauti, Gabriela 等
Abstract: The paper presents an experimental study regarding the
variation of compression resistance for sintered basalt. The experiments
were performed according to Taguchi method and RSM method by using a L8
Taguchi standard experimental plan and a Draper-Lin small dimensions
compositional experimental plan. For each experimental condition, 5
basalt sintered pieces were manufactured, which were tested to
compression. There were sintered 25 pieces in each of two confirmation
experiments analyzing the improvement in compression resistance by
doping the basalt with 2% Ti[O.sub.2]. In order to verify the precision
of designing the experiments based on the L8 orthogonal matrix, a full
factorial simulation was also performed
Key words: sintering, basalt, Ti[O.sub.2], Taguchi, RSM
1. INTRODUCTION
Basalt sintering is a processing technique used to manufacture
density-controlled parts with appreciable abrasive resistance and high
resistance to chemical agents from basalt powder by applying thermal
energy. An important application of basalt sintering is manufacturing
components with high wearing resistance combined with high compression
resistance in order to be used as brake disks and brake pads. The
different stages of processing and corresponding variables for general
sintering process are analyzed thoroughly by Kang (2005). Important
contributions in analyzing the wear resistance of sintered basalt were
presented by Cikara et al. (2010) and Gheorghies (2010). This study
takes a step further, studying the possibilities of improving the
compression resistance of sintered basalt through DOE by using
Ti[O.sub.2] as dopant.
2. SOLID STATE BASALT SINTERING
Basalt, as raw material, in order to become a finished product
through sintering process, undergoes through a series of operations such
as: choosing the raw material, processing to obtain the powder form,
forming, calcination and sintering. In this study were used natural
basalt rocks, of volcanic origin, crystalline, compact, composed of a
mixture of silicates, from Luncani, Timis county, Romania. In order to
obtain basalt powder, the following operations were performed: washing,
drying, sorting, crashing-sifting, disposal of metallic debris, milling
and powder sifting. The basalt powder was mixed homogeneously with a
binder consisting of a special glue, olein and water. Forming and
pressing in die was performed with a newly designed pressure die for the
purpose of this study (Pugna et al., 2010). Drying and calcination was
achieved by placing compacted raw parts in boxes and calcinating them in
a furnace, sintering and cooling of compacted basalt parts was performed
in a sintering furnace. The components analysis of sintered basalt parts
has been done through microanalysis technique with X-rays (EDAX).
Surface images of sintered basalt parts were analyzed using a scanning
electronic microscope (SEM).
3. TAGUCHI AND RSM METHODS
Taguchi methodology (Taguchi et al., 2000) uses for evaluating a
product or process quality a synthetic measure of performance which
takes in account simultaneously the mean and the variance
(Signal-to-Noise ratio). For performing the experiments, there are
usually used so called Taguchi standard matrices', for which are
assigned controlled factors and interactions at different levels as
inputs and a quality characteristic as output. There are performed
experiments for each combinations of controlled factors, considering
that the best one is that which produces the highest Signal-to-Noise
ratio. One of the most popular experimental plans grouped under the
Response Surface Method (when the cost of testing is high and number of
experiments should be kept as small as possible) is the Draper-Lin plan.
Draper-Lin plans--are small compositional plans on which the central
portion of the plan consists of a fractional factorial plan with
additional star points and a lower resolution than order V. The
statistical model of Draper-Lin experimental plan expresses the response
variable as a linear function of experimental factors, interactions
between factors, terms of order 2 (quadratic) and an error term.
3.1 Experimental results using Taguchi method
The quality characteristic of basalt sintered parts was assigned as
being, Y = Compression Resistance and the seven controlled factors, A =
Composition; B = Calcination temperature; D = Cooling duration; E =
Sintering temperature; F = Heating duration; G = Holding duration; F =
Forming pressure). For each experimental condition 5 basalt sintered
pieces were sintered, which were tested to compression. Therefore, it
has been chosen a L8 Taguchi standard matrix, the factors levels for the
8 experimental conditions are presented in figure 1. The significant
factors influences are presented in figure 2. In order to show the
performance improvement the modification in normal distribution is
presented as in figure 3. The improved S/N ratio at optimal condition
correspond to a reduction of standard deviation. To verify the precision
of designing the experiments based on the L8 orthogonal matrix, a full
factorial simulation ([2.sup.7] = 128 experiments for full factorial
experiment) was performed. The maximum value obtained from full
factorial experiment combinations, can be regarded as exact solution
which can be compared to the solution of the experiment based on LB.
Performance at optimal conditions can be compared with the exact
solution. Relation (1) presents the equation obtained from simulating
the full factorial experiment. The error using an L8 Taguchi standard
matrix instead of a full factorial experiment is less than 1%.
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (1)
[FIGURE 2 OMITTED]
[FIGURE 3 OMITTED]
3.2 Experimental results using RSM method
It has been created a randomized and orthogonal Draper-Lin small
compositional experimental plan, with which was studied the effect of 7
factors in 40 experiments in a single block (including two central
points per block), with 4 degrees of freedom for error. In figure 4 is
presented the standardized Pareto and in figure 5 is presented the
Estimated Response Surface, the surface height representing the
predicted values for Compression Resistance on an area determined by two
factors the remaining five factors are kept at their average values.
[FIGURE 4 OMITTED]
[FIGURE 5 OMITTED]
In table 1 are presented the factors order of importance for the
Taguchi L8 and Draper-Lin experimental plans. One can see that in both
cases the main two factors are Composition and Forming pressure.
5. CONCLUSION
Applying Taguchi and Draper-Lin experimental plans to sintered
basalt parts identified the factors to be controlled. It was
demonstrated that by using 2% of Ti[O.sub.2] as dopant, one of the major
drawbacks of basalt sintered parts was partially eliminated and thus,
the compression resistance of sintered basalt parts, was significantly
improved. It was demonstrated also that by using an L8 Taguchi matrix
the error that was made was insignificant by comparison with using a
full factorial experiment. The main limitation is that the study
doesn't take in account possible misalignments of brake disks and
brake pads. Further researches will be focused mainly in reducing the
brittleness of basalt sintered parts and introducing different angles of
misalignments.
6. REFERENCES
Cikara, D; Todic. A & Cikara-Anic, D (2010). Possibilities of
Production of Wear Resistant Construction Elements by Processing of
Serbian Basalt. FME Transactions. Vol. 38, No 4, 203-207, ISSN 1461-2091
Gheorghies, C. (2010). Sintered Basalt as a Promising Sustainable
Material in Mechanical Engineering. Environmental Engineering and
Management Journal. Vol.9, N. 8 (August 2010), 1133-1138, ISSN 1582-9596
Karamanov, A; Arrizza, L & Ergul, S. (2009). Sintered material
from alkaline basaltic turfs. Journal of the European Ceramic Society 29
(2009), 595-601, ISSN 0955-2219
Kang, Suk-Joong. L. (2005). Sintering--Densification, Grain Growth,
and Microstructure, Elsevier Ltd, ISBN 978-0-7506-6385-4, London
Pugna, A. P.; Negru Strauti, G. & Mocan, M. L. (2010). Applying
Taguchi Method to TiO2 Doped Sintered Basalt. Annals of the Oradea
University. Fascicle of Management and Technological Engineering, Vol.
IX (XIX), Nrl, 3151-3158, ISSN 1583-0691
Taguchi, G.; Chowdhury, S. & Taguchi, S. (2000). Robust
Engineering : Learn How to Boost Quality While Reducing Costs & Time
to Market, McGraw-Hill Professional, ISBN 978-0-07-134782-2, New York
Tab. 1. Comparison of factors order of importance
Order of Taguchi [L.sub.8] Draper-Lin
importance
1 Composition Composition
2 Forming pressure Forming pressure
3 Calcination temp. Sintering temp.
4 Heating duration Sintering duration
5 Sintering temp. Cooling duration
6 Sintering duration Calcination temp.
7 Cooling duration Heating duration
Fig. 1. Controlled factors levels
Factors Level 1 Level 2
1 Composition 0% TiO2 2% TiO2
2 Calcination temp 900 C 950 C
3 Cooling duration 4 h 5.5 h
4 Sintering temp 1000 C 1100 C
5 Heating duration 8 h 10 h
6 Holding duration 1 h 1.5 h
7 Forming pressure 1500 daN/ 2000 daN/cm2