Prikhodko Igor Yurievich, Dr. Sci. (Engin.), Senior Research Scientist, Head of Department, Iron and Steel Institute named after Z.I. Nekrasov of the NAS of Ukraine, Academican Starodubova square, 1, Dnipro, Ukraine, 49107; e-mail: isi@ukr.net, pryhodko@mail.ru ORSID 0000-0001-5651- 8106
Dedik Maxim Alexandrovich, Iron and Steel Institute named after Z.I. Nekrasov of the NAS of Ukraine, Academican Starodubova square, 1, Dnipro, Ukraine, 49107; e-mail: demax@bk.ru, ORSID 0000-0001-8585-896X,Stefan Brandt, Sweden, consultant;
Gogaev Kazbek Aleksandrovich, Corresponding Member NASU, Doctor of Technical Sciences, Head. department, Institute of Problems of Materials Science named after I.N. Frantsevich, 03680, Kiev, st. Academician Krzhizhanovsky, 3, email: gogaev@ipms.kiev.ua, ORSID 0000-0002-0304-2535
Itsenko Alexander Ivanovich, Ph.D., senior researcher, Institute of Problems of Materials Science named after I.N. Frantsevich, 03680, Kiev, st. Academician Krzhizhanovsky, 3
Voropaev Vladimir Sergeevich, PhD (Engin.), Senior Researcher, Institute for Problems of Materials Science. I.N. Frantsevich, 03680, Kiev, st. Academician Krzhizhanovsky, 3, ORSID 0000-0001-7408-5957

Comprehensive finite-element study of processes for the production of
titanium strips by asymmetric cold rolling of a powder followed by sintering

Summary. Finite-element numerical modeling was implemented and a study
of the production processes of thin titanium strips was carried out on the basis of
two key sequential processes: asymmetric powder rolling and sintering of the
rolled product using the Brand-Nielson model. The results of studying the
processes of compaction and sintering of titanium powder using a single
mathematical model proposed by Jan Brandt are presented. For the calculations
we used experimentally determined shear stresses and volumetric compression
modulus under hydrostatic compression and uniaxial compression. The friction
conditions between the surfaces of the rolls and the powder were determined as a
function of the change in the Coulomb coefficient of friction on the relative
sliding speed of the surfaces of the roll and the workpiece. An analysis of the
results allows a quantitative assessment of the influence of the technology
parameters of the compaction and sintering processes on the change in the stress
170
«Фундаментальні та прикладні проблеми чорної металургії. – 2019. – Вып.33
«Fundamental and applied problems of ferrous metallurgy». – 2019. – Collection 33
ISSN 2522-9117 «Fundamental’nye i prikladnye problemy černoj metallurgii». – 2019. – Vypusk 33
state and relative density in the volume of products at the stages of production
processes. It is shown that the application of the von Mises density and stress
diagrams for the correction of the sintering regime allows avoiding the appearance
of defects (insufficiently uniform density of the sintered material and the presence
of microcracks) during intense heating of the metal in the furnace. The
development of sintering modes based on the Brand-Nielson model simplifies the
improvement of technology in the sintering of bulk bodies, which is a more timeconsuming process than sintering of thin plates. This model can be used in the
development of sintering regimes for various materials since it takes into account
the influence of basic phenomena in this process. By varying the technology
parameters it is possible to achieve targeted effects on product quality indicators
and prevent the formation of microcracks in them.
Key words: asymmetric powder rolling, sintering, titanium.
1. Kang Suk-Joong L., Sintering. Densification, Grain Growth and
Microstructure. Elsevier Butterworth-Heinemann Linacre House, Jordan Hill,
Oxford OX2 8DP 30 Corporate Drive, Burlington, MA 01803, (2005), 265р.
2. Brandt J., Nilsson L., A constitutive model for compaction of granular media,
with account for deformation induced anisotropy. Mechanics of Cohesive. –
Frictional Materials, 4 (1999), 391–418.
3. Brandt J., On Constitutive Modeling of the Compaction and Sintering of
Cemented Carbides, Department of Mechanical Engineering, Linköping
University, Linköping, Sweden, 1998.
4. Carlson S.R., Bonner B.P., F.J. Ryerson, M.M. Hart. «Compaction of
Ceramic Microspheres, Spherical Molybdenum Powder and Other Materials
to 3 GPa». Lawrence Livermore National Laboratory. Livermore, California
94551(2006). 129 pp.
5. Siegkas P., Tagarielli V.L., Petrinic N., Lefebvre L.P.. «The compressive
response of a titanium foam at low and high strain rates». Springer ScienceBusiness Media, LLC 2010..
6. Zadeh H.K.. «Finite element analysis and experimental study of metal powder
compaction». A thesis submitted to the Department of Mechanical and
Materials Engineering in conformity with the requirements for the degree of
Doctor of Philosophy Queen’s University Kingston, Ontario, Canada.
September, 2010. 165pp.
7. Andersson D.C., Larsson P., Cadario A., Lindskog P.. On the influence from
punch geometry on the stress distribution at powder compaction. Department
of Solid Mechanics, Royal Institute of Technology SE-10044 and Sandvik
Tooling Sverige AB, SE-12680, Stockholm, Sweden, Powder Technology 202
(2010) 78–88.
171
«Фундаментальні та прикладні проблеми чорної металургії. – 2019. – Вып.33
«Fundamental and applied problems of ferrous metallurgy». – 2019. – Collection 33
ISSN 2522-9117 «Fundamental’nye i prikladnye problemy černoj metallurgii». – 2019. – Vypusk 33
8. Avallone E.A., Baumeister III T., Sadegh Ali.M.. «Marks’ Standard Handbook
for Mechanical Engineers». Eleventh Edition, USA. Library of Congress
Catalog Card Number: 87-641192 (2007). 2305pp.
9. Cohen M.H., Turnbull.D. Journal chemical and physics. 31. 1164 (1959).
10. Zhigang Zak Fang. Sintering of advanced materials, fundamentals and
processes. Woodhead Publishing Limited, Abington Hall, Granta Park, Great
Abington, Cambridge CB21 6AH, UK, 2010, 483p.
11. Haglund S.A., Agren J., Lindskog P., Uhrenius B. ‘Solid state sintering of
cemented carbides’ in Sintering 1995-1996, R. G. Cornwall, R. M. German
and G. L. Messing eds, Marcel Dekker, New York, pp. 141—148, 1996.
12. Young-Sam Kwon, Suk-Hwan Chung, Chantal Binet, Rui Zhang,
Renata S.Engel, Nicholas J.Salamon, Randall M.German. Application of
Optimization Technique in the Powder Compaction and Sintering Processes.
9.131-9.146 pp.