Solid Mechanics,
Mechanics of Growing Solids,
Additive Manufacturing Technologies,
Contact Mechanics and Tribology,
Mechanics of Technological Processes,
Applied Mathematics and Mathematical Physics,
Mathematical Modeling,
Integral Equations and Their Applications,
Partial Differential Equations and Boundary Value Problems
Biography
A. V. Manzhirov is a well-recognized scientist working in the field of mechanics and applied mathematics. He is the author of about 250 scientific publications, including twenty books and textbooks published in Russian, English, and German and two inventor's certificates. His main scientific activities concern mechanics of growing solids, contact mechanics and tribology, viscoelasticity and creep theory, and integral equations and their applications. He defended his Ph.D. thesis in 1983 and D.Sc. thesis in 1993 and became Professor in 1998. He has been working at the Institute for Problems in Mechanics since 1983, first as an engineer and eventually as Head of Department for Modeling in Solid Mechanics (since 2004) and Deputy Director (since 2015).
Manzhirov is the founder of a new scientific discipline, mechanics of growing solids, which arose in connection with the urgent demand, in both fundamental and applied science, for the analysis of complicated processes typical of modern interdisciplinary problems lying on the borderline between mechanics, physics, chemistry, and biology. Mechanics of growing solids in particular permits efficiently modeling a wide range of additive manufacturing technologies, including electrolytic shaping, pyrolytic deposition, laser spraying and fusing, etc., as well as melt solidification and crystal growth. For natural phenomena, it permits one to give an adequate description of how glaciers, sedimentary and volcanic rock massifs, and gravitating objects are formed as well as how biological tissues grow.
Manzhirov developed the foundations of mathematical theory of growing solids, suggested a classification of possible growth processes, and was the first to consider the main boundary value problems. Under his guidance, the first experiments identifying the properties of growing bodies were carried out, the evolution laws for the stress-strain state of such bodies were studied, and new mechanical effects specific to accreted bodies were revealed.
The work of Manzhirov and his students gained international recognition for mechanics of growing bodies as a new scientific discipline. The General Assembly of IUTAM in Beijing appointed him Chairman of the Scientific Committee of the IUTAM Symposium on Growing Bodies which took place in Moscow at the Institute for Problems in Mechanics in June of 1915.
Manzhirov is a leading Russian scientist in contact mechanics. To study complex evolution processes of contact interaction and wear, he developed the theory of mixed integral equations, which contain operators with constant as well as variable integration limits. He suggested a universal projection method for solving mixed integral equations and systems, which was the first method to permit studying contact and wear problems for surface-inhomogeneous bodies and bodies with experimental surface profiles described by rapidly oscillating functions. He is also a recognized authority in the field of nonlinear creep and viscoelasticity of inhomogeneous materials with time-dependent properties.
Manzhirov is universally known as an author of fundamental handbooks on integral equations, which have no equal in the literature worldwide. These handbooks helped to make integral equations, previously an elitist field of mathematical physics, a working tool for scientists of different specialties, engineers, and technologists.
Manzhirov is active in international cooperation. He carries out important research on thermomechanics of laser material processing in collaboration with Tshwane University of Technology (Pretoria, South Africa) in the framework of a joint RFBR–NRF grant. Here the focus is on theoretical and experimental problems of laser spraying and fusing. Manzhirov has established strong collaboration with leading Indian scientists. He participates in a joint project of RFBR and the Indian Ministry of Science and Technology involving up-to-date theoretical and experimental studies on electrolytic molding. Note also many years of fruitful collaboration with the Institute of Fundamental Technological Research of the Polish Academy of Sciences in the framework of the RAS–PAN Cooperation Agreement, whereby coordinated research of thin coating technologies is carried out. The traditional collaboration with the Institute of Mechanics of National Academy of Sciences of Armenia in the framework of the RAS–NAS Cooperation Agreement has gained a new impetus by being extended to new fields of mechanics, in particular those related to growth processes.
Manzhirov dedicates much time to teaching activities. He is the founder and permanent head of the branch of the Applied Mathematics Department of Bauman Moscow State Technical University at the Institute for Problems in Mechanics. He is also Professor of National Research Nuclear University "MEPhI" (Moscow Engineering Physics Institute) and Moscow State University of Engineering and Computer Science. He works on a constant basis with postgraduate students and doctoral candidates at the Institute for Problems in Mechanics, Bauman Moscow State Technical University, and Moscow State University of Instrument Engineering and Computer Science. His students successfully defend their theses at the leading Dissertation Councils and form a core of his department, where they make up about 70 percent of the staff.
Currently Manzhirov is a member of Mathematics and Mechanics Expert Council of the Higher Certification Committee of the Russian Federation. Íå was a Vice Chairman of this Council responsible for the activities related to mechanics for over a decade. He is also Vice Chairman of Solid Mechanics Scientific Council of the Russian Academy of Sciences who has organized about fifty international and all-Russia conferences and seminars.
Manzhirov was a Coordinator of the Integrated Long Term Programme (ILTP) of Cooperation in Science and Technology between Russian Federation and Republic of India in the area of Theoretical and Applied Mechanics during seven years. He has put much effort in organizing a collaboration of scientists in both countries for solving important theoretical and applied problems in the framework of projects sponsored by ILTP, RFBR, and the Indian Ministry of Science and Technology. He, together with the Indian Coordinator, Professor N. K. Gupta, organized a permanent Russian–Indian seminar attended by leading scientists of the two countries.
Currently, Manzhirov is an Editorial Advisory Board member of about a dozen important scientific journals, including Mechanics of Solids; News of the National Academy of Sciences of the Republic of Armenia, Mechanics; Computational Mechanics of Continua, and of the scientific and educational website "EqWorld — The World of Mathematical Equations." He is member of the Russian National Committee on Theoretical and Applied Mechanics, European Mechanics Society (EUROMECH), American Society for Mechanical Engineers (ASME), American Mathematical Society (AMS), International Association of Applied Mathematics and Mechanics (GAMM), and the International Association of Engineers (IAENG), Award Winner of the First Competition of the Science Support Foundation (Moscow).
Main publications:
N. Kh. Arutyunyan, A. V. Manzhirov, and V.E. Naumov, Contact Problems in Mechanics of Growing Solids, Nauka Publ., Moscow, 1991, 172 pp. (in Russian)
A. D. Polyanin, A. V. Manzhirov, Handbook of mathematics for engineers and scientists, Chapman & Hall/CRC, Boca Raton, London, 2007, xxxii+1509 pp.
A. D. Polyanin, A. V. Manzhirov, Handbook of Integral Equations. Second Edition, Chapman & Hall/ CRC Press, Boca Raton, London, 2008, xxxiv+1108 pp.
A. V. Manzhirov, “Mechanics of growing solids and phase transitions”, Key Engineering Materials, 535-536 (2013), 89–93
A. V. Manzhirov, “Mechanics of growing solids: New track in mechanical engineering” (Montreal, Quebec, Canada, 14–20 November 2014), ASME 2014 International Mechanical Engineering Congress and Exposition, 9, Mechanics of Solids, Structures and Fluids (2014), IMECE2014-36712, pp. V009T12A039, 10 pp.
A. V. Manzhirov, D. A. Parshin, “Modeling spherical accretion of aging viscoelastic objects under self-gravitation”, IAENG Transactions On Engineering Sciences, Special Issue For The International Association Of Engineers Conferences 2016 (London, UK & San Francisco, USA, 29 June–1 July 2016 & 19–21 October 2016), v. 2, World Congress on Engineering (WCE 2016) & World Congress on Engineering and Computer Science (WCECS 2016), World Scientific, Singapore, 2018, 14–27
A. V. Manzhirov, “Mechanical Analysis of an AM Fabricated Viscoelastic Shaft under Torsion by Rigid Disks”, Lecture Notes in Engineering and Computer Science, Proceedings of The World Congress on Engineering 2017 (London, U.K., 5–7 July 2017), v. 2, WCE, London, 2017, 856–860http://www.iaeng.org/publication/WCE2017/WCE2017_pp856-860.pdf
4.
A. V. Manzhirov, D. A. Parshin, “Additive Manufacturing of Conical Viscoelastic Parts under Axial Tension-Compression”, Lecture Notes in Engineering and Computer Science, Proceedings of The World Congress on Engineering 2017 (London, U.K., 5–7 July 2017), v. 2, WCE, London, 2017, 934–939http://www.iaeng.org/publication/WCE2017/WCE2017_pp934-939.pdf
5.
A. V. Manzhirov, K. E. Kazakov, “The Interaction between a Coated Foundation and a Rigid Punch with Rough Surfaces”, Lecture Notes in Engineering and Computer Science, Proceedings of The World Congress on Engineering 2017 (London, U.K., 5–7 July 2017), v. 2, WCE, London, 2017, 993–996http://www.iaeng.org/publication/WCE2017/WCE2017_pp993-996.pdf
6.
A. V. Manzhirov, “Mixed interal equations and their application to mechanics”, IAENG Transactions On Engineering Sciences, Special Issue For The International Association Of Engineers Conferences 2016, v. 2, World Scientific, Singapore, 2017, 8–21
K. E. Kazakov, S. P. Kurdina, A. V. Manzhirov, “Contact Interaction between Surface Nonuniform Bases and Regular Systems of Rigid Punches” (Moscow, Russian Federation, 23–27 June 2015), Procedia IUTAM, 2017, IUTAM Symposium on Growing solids, 2015, 201–209
A. V. Manzhirov, N. K. Gupta, “Fundamentals of Continuous Growth Processes in Technology and Nature” (Moscow, Russian Federation, 23–27 June 2015), Procedia IUTAM, 23, IUTAM Symposium on Growing solids, 2015 (2017), 1–12
A. V. Manzhirov, “Advances in the Theory of Surface Growth with Applications to Additive Manufacturing Technologies” (New Delhi, India, 11–14 December 2016), Procedia Engineering, 173, 11th International Symposium on Plasticity and Impact Mechanics, IMPLAST 2016 (2017), 11–16
A. V. Manzhirov, “Mechanical Design of AM Fabricated Prismatic Rods under Torsion” (Shanghai, China, 21–23 October 2016), MATEC Web of Conferences, 95, 3rd International Conference on Mechatronics and Mechanical Engineering, ICMME 2016 (2017), 12002
A. V. Manzhirov, K. E. Kazakov, “Contact problem with wear for a foundation with a surface nonuniform coating”, Doklady Physics, 62:7 (2017), 344–349
13.
K. E. Kazakov, A. V. Manzhirov, “Axisymmetric contact between an annular rough punch and a surface nonuniform foundation”, Mech. Solids, 52:4 (2017), 444–451
14.
P. S. Bychkov, V. M. Kozintsev, A. V. Manzhirov, L. L. Popov, “Opredelenie ostatochnykh napryazhenii v izdeliyakh pri ikh additivnom izgotovlenii metodom posloinoi fotopolimerizatsii”, Izv. RAN. MTT, 2017, no. 5, 63–69
15.
A. V. Manzhirov, K. E. Kazakov, “Modeling of the contact interaction between a nonuniform foundation and rough punch”, Math. Models Comput. Simul., 10:3 (2018), 314–321
16.
A. V. Manzhirov, M. N. Mikhin, E. V. Murashkin, “Torsion of a growing shaft”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 21:4 (2017)
17.
A. V. Manzhirov, “A mixed integral equation of mechanics and a generalized projection method of its solution”, Doklady Physics, 61:10 (2016), 489–493, Pleiades Publishing
18.
A. V. Manzhirov, “A Method for Mechanical Design of AM Fabricated Viscoelastic Parts. Chapter no. 17”, Transactions on Engineering Technologies: The World Congress on Engineering, The World Congress on Engineering 2015 (London, U.K., 1–3 July 2015), Springer, Singapore, 2016, 223–235
A. V. Manzhirov, “Integral Equations with Several Different Operators and Their Application to Mechanics”, Lecture Notes in Engineering and Computer Science, Proceedings of The World Congress on Engineering 2016 (London, U.K., 29 June–1 July 2016), v. 1, WCE, London, 2016, 10–15http://www.iaeng.org/publication/WCE2016/WCE2016_pp10-15.pdf
20.
A. V. Manzhirov, K. E. Kazakov, “Contact Problem for a Foundation with a Rough Coating”, Lecture Notes in Engineering and Computer Science, Proceedings of The World Congress on Engineering 2016 (London, U.K., 29 June–1 July 2016), v. 1, WCE, London, 2016, 877–882http://www.iaeng.org/publication/WCE2016/WCE2016_pp877-882.pdf
21.
A. V. Manzhirov, D. A. Parshin, “Accretion of Spherical Viscoelastic Objects under Self-Gravitation”, Lecture Notes in Engineering and Computer Science, Proceedings of The World Congress on Engineering 2016 (London, U.K., 29 June–1 July 2016), v. 1, WCE, London, 2016, 1131–1136http://www.iaeng.org/publication/WCE2016/WCE2016_pp1131-1135.pdf
22.
A. V. Manzhirov, “Fundamentals of surface growth of solids in nature and technology”, Proceedings of The XXIV ICTAM (Montreal, Canada, 2016), IUTAM, Montreal, 2016, TS.SM08-5.03
23.
A. V. Manzhirov, D. A. Parshin, “Application of Prestressed Structural Elements in the Erection of Heavy Viscoelastic Arched Structures with the Use of an Additive Technology”, Mech. Solids, 51:6 (2016), 692–700
24.
A. Manzhirov, N. Gupta, “Fundamentals of continuous growth processes in technology and nature”, Materials of the IUTAM Symposium on Growing solids (Moscow, Russia, 23–27 June 2015), eds. A. Manzhirov, N. Gupta, IPMech RAS, Moscow, 2015, 73–76 pp. http://sgs2015.ipmnet.ru/materials/SGS2015_p073-076_ManzhirovGupta.pdf
A. V. Manzhirov, “Mechanical design of viscoelastic parts fabricated using additive manufacturing technologies”, Lecture Notes in Engineering and Computer Science, Proceedings of The World Congress on Engineering 2015 (London, U.K., 1–3 July 2015), v. 2, WCE, London, 2015, 710–714
27.
A. V. Manzhirov, “Integralnye uravneniya smeshannogo tipa i ikh sistemy v mekhanike kontaktnogo vzaimodeistviya i tribologii”, KhI Vserossiiskii s'ezd po fundamentalnym problemam teoreticheskoi i prikladnoi mekhaniki, Sbornik dokladov (Kazan, Rossiya, 20–24 avgusta 2015 g.), Kazan, 2015, 2458–2460
28.
A. V. Manzhirov, D. A. Parshin, “Arch structure erection by an additive manufacturing technology under the action of the gravity force”, Mech. Solids, 50:5 (2015), 559–570
29.
A. V. Manzhirov, D. A. Parshin, “Influence of the erection regime on the stress state of a viscoelastic arched structure erected by an additive technology under the force of gravity”, Mech. Solids, 50:6 (2015), 657–675
30.
A. V. Manzhirov, “Multi-body contact problem for a nonhomogeneous elastic coated foundation with wear”, 5th World Tribology Congress (WTC 2013), Vol. 1 of 4 (Torino, Italy, 8–13 September 2013), Politecnico di Torino (DIMEAS), Curran Associates, Inc., Torino, 2014, 2309–2312
31.
A. V. Manzhirov, S. A. Lychev, “Mathematical modeling of additive manufacturing technologies”, Lecture Notes in Engineering and Computer Science, Proceedings of The World Congress on Engineering 2014 (2–4 July, 2014, London, U.K.), v. 2, WCE, London, 2014, 1404–1409http://www.iaeng.org/publication/WCE2014/WCE2014_pp1404-1409.pdf
32.
A. V. Manzhirov, “Mechanics of growing solids: New track in mechanical engineering” (Montreal, Quebec, Canada, 14–20 November 2014), ASME 2014 International Mechanical Engineering Congress and Exposition, 9, Mechanics of Solids, Structures and Fluids (2014), IMECE2014-36712, pp. V009T12A039, 10 pp.
A. V. Manzhirov, “Kontaktnye zadachi dlya osnovanii s proizvolno neodnorodnymi pokrytiyami”, Vestnik Chuvashskogo gosudarstvennogo pedagogicheskogo universiteta im. I. Ya. Yakovleva Seriya: Mekhanika predelnogo sostoyaniya, 2014, no. 3(21), 3–13
34.
A. V. Manzhirov, S. A. Lychev, “An approach to modeling of additive manufacturing technologies”, Transactions on Engineering Technologies, The World Congress on Engineering 2014, eds. G. C. Yang, S. I. Ao, L. Gelman, Springer, Dordrecht, 2014, 99–115
A. V. Manzhirov, K. E. Kazakov, S. Kukharskii, “Sistemy smeshannykh integralnykh uravnenii v probleme mnozhestvennogo konformnogo kontakta”, Razvitie idei L. A. Galina v mekhanike, Institut kompyuternykh issledovanii, M.-Izhevsk, 2013., 280–305
36.
S. V. Joubert, M. Yu. Shatalov, T. H. Fay, A. V. Manzhirov, “Brayn's effect and isotropic nonlinear damping”, J. Sound Vibration, 332:23 (2013), 6169–6176
A. V. Manzhirov, K. E. Kazakov, S. Kucharsky, “Conformal contact between a system of punches and a covered foundation taking into account the actual shape of their surfaces”, Topical Problems in Theoretical and Applied Mechanics, eds. N. K. Gupta, A. V. Manzhirov, R. Velmurugan, Elite Publishing House, New Delhi, 2013, 128–147
39.
P. Kumari, S. Kapuria, N. K. Gupta, A. V. Manzhirov, “Mixed-field extended Kantorovich method for accurate prediction of boundary layer stresses in composite and piezolaminated structures”, Topical Problems in Theoretical and Applied Mechanics, eds. N. K. Gupta, A. V. Manzhirov, R. Velmurugan, Elite Publishing House, New Delhi, 2013, 268–278
40.
A. A. Baryshev, S. A. Lychev, A. V. Manzhirov, “The equilibrium equations of shells in the coordinates of the general form”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 13:2(1) (2013), 44–53
41.
A. V. Manzhirov, S. A. Lychev, S. I. Kuznetsov, I. Fedotov, “Analiticheskoe issledovanie protsessa teploprovodnosti v rastuschem share”, Vestnik MGTU im. N. E. Baumana. Ser. Estestvennye nauki, 2012, 130–137
42.
A. V. Manzhirov, S. A. Lychev, “The mathematical theory of growing solids: Finite deformations”, Doklady Physics, 57:4 (2012), 160–163
43.
A. Manzhirov, I. Fedotov, M. Shatalov, “On the resonance oscillation of longitudinally vibrating growing rod”, Aktualnye problemy mekhaniki sploshnoi sredy, Trudy mezhdunarodnoi konferentsii, posvyaschennoi 100-letiyu akademika NAN Armenii N. Kh. Arutyunyana (Tsakhkadzor, Armeniya, 8–12 oktyabrya 2012 g.), v. 2, EGUAS, Erevan, 2012, 255–259
44.
A. V. Manzhirov, S. P. Kurdina, S. Kukharskii, “O soglasovannom kontakte shtampov i tel s pokrytiyami, imeyuschikh slozhnyi profil poverkhnosti”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 12:4 (2012), 80–89
A. A. Baryshev, S. A. Lychev, A. V. Manzhirov, “Non-stationary vibration of growth circular cylindrical shell”, Izv. Saratov Univ. (N.S.), Ser. Math. Mech. Inform., 12:2 (2012), 42–48
46.
A. V. Manzhirov, “Matematicheskaya teoriya rastuschikh tel: uravneniya, zadachi, prilozheniya”, Sektsionnyi doklad na X Vserossiiskom s'ezde po fundamentalnym problemam teoreticheskoi i prikladnoi mekhaniki, Vestnik Nizhegorodskogo universiteta im. N. I. Lobachevskogo, 2011, no. 4, 1603–1605
47.
S. I. Kuznetsov, A. V. Manzhirov, I. Fedotov, “Heat conduction problem for a growing ball”, Mech. Solids, 46:6 (2011), 929–936
48.
A. V. Manzhirov, “Smeshannye integralnye uravneniya i ikh prilozheniya”, Vtoraya mezhdunarodnaya konferentsiya “Matematicheskaya fizika i ee prilozheniya”, Materialy Mezhd. konf., ed. chl.-korr. RAN I. V. Volovich, d.f.-m.n., prof. Yu. N. Radaev, Kniga, Samara, 2010, 209–214
49.
A. V. Manzhirov, “New results in mechanics of growing solids”, Aktualnye problemy mekhaniki sploshnoi sredy, Trudy II mezhdunarodnoi konferentsii (Dilizhan, Armeniya, 4–8 oktyabrya 2010 g.), v. 2, EGUAS, Erevan, 2010, 311–315 pp.
50.
F. L. Chernous'ko, A. V. Manzhirov, I. V. Simonov, “Results of the XXII International Congress of Theoretical and Applied Mechanics”, J. Appl. Math. Mech., 73:1 (2009), 109-112
51.
A. V. Manzhirov, “Mekhanika naraschivaemykh tel: novyi podkhod”, Trudy XIII mezhdunarodnoi konferentsii (Rostov-na-Donu, 12–15 oktyabrya 2009 g.), v. 1, YuFU, Rostov-na-Donu, 2009, 142–147
52.
A. V. Manzhirov, K. E. Kazakov, “Proektsionnyi metod resheniya smeshannykh integralnykh uravnenii mekhaniki i ego prilozheniya k kontaktnym zadacham dlya tel s pokrytiyami”, Aktualnye problemy mekhaniki: mekhanika deformiruemogo tverdogo tela, Sb. trudov, ed. R. V. Goldshtein; In-t problem mekhaniki im. A. Yu. Ishlinskogo RAN, Nauka, M., 2009, 238–263
53.
A. V. Manzhirov, D. A. Parshin, “Vozvedenie tyazhelogo polutsirkulnogo svoda”, Aktualnye problemy mekhaniki: mekhanika deformiruemogo tverdogo tela, Sb. trudov, ed. R. V. Goldshtein; In-t problem mekhaniki im. A. Yu. Ishlinskogo RAN, Nauka, M., 2009, 382–421
54.
K. E. Kazakov, A. V. Manzhirov, “Conformal contact between layered foundations and punches”, Mech. Solids, 43:3 (2008), 512–524
55.
A. V. Manzhirov, K. E. Kazakov, “Conformal contact between foundations and punches”, Topical Problems in Solid Mechanics, IIT Delhi, New Delhi, 2008, 92–104
56.
A. V. Manzhirov, D. A. Parshin, “Erection of a heavy semicircular arch structure”, Topical Problems in Solid Mechanics, IIT Delhi, New Delhi, 2008, 245–265
57.
A. V. Manzhirov, D. A. Parshin, “Modelirovanie protsessa deformirovaniya naraschivaemykh konicheskikh tel”, Vestn. SamGU. Estestvennonauchn. ser., 2007, no. 4(54), 290–303
58.
A. V. Manzhirov, “Mekhanika naraschivaemykh tel: sostoyanie, problemy, perspektivy”, Aktualnye problemy mekhaniki sploshnoi sredy, Trudy Mezhdunarodnoi konferentsii, posvyaschennoi 95-letiyu akademika NAN Armenii N. Kh. Arutyunyana (Tsakhkadzor, Armeniya, 25–28 sentyabrya 2007 g.), EGUAS, Erevan, 2007, 243–246 pp.
59.
A. V. Manzhirov, D. A. Parshin, “Accretion of a viscoelastic ball in a centrally symmetric force field”, Mech. Solids, 41:1 (2006), 51–64
60.
A. V. Manzhirov, D. A. Parshin, “Modeling the Accretion of Cylindrical Bodies on a Rotating Mandrel with Centrifugal Forces Taken into Account”, Mech. Solids, 41:6 (2006), 121–134
61.
A. V. Manzhirov, K. E. Kazakov, “Contact problems for coated solids with real surface shape”, Indo-Russian workshop “Problems in nonlinear mechanics of solids with large deformation”, IIT Delhi, New Delhi, 2006, 63–70 pp.
62.
A. V. Manzhirov, D. A. Parshin, “Accretion of solids under mass forces”, Indo-Russian workshop “Problems in nonlinear mechanics of solids with large deformation”, IIT Delhi, New Delhi, 2006, 71–79
63.
A. V. Manzhirov, M. N. Mikhin, “Metody teorii funktsii kompleksnogo peremennogo v mekhanike rastuschikh tel”, Vestn. SamGU. Estestvennonauchn. ser., 2004, no. 4(34), 82–98
64.
A. V. Manzhirov, Yu. N. Radaev, “Nagush Khachaturovich Arutyunyan. K 90-letiyu so dnya rozhdeniya”, Problemy mekhaniki deformiruemykh tel, Izd-vo “Gitutyun” NAN RA, Erevan, 2003, 6–27
65.
A. V. Manzhirov, M. N. Mikhin, “O kruchenii naraschivaemogo ellipticheskogo brusa”, Problemy mekhaniki deformiruemykh tel, Izd-vo “Gitutyun” NAN RA, 2003, 216–224
66.
A. B. Manzhirov, “Kontaktnye zadachi dlya neodnorodnykh stareyuschikh vyazkouprugikh tel”, Mekhanika kontaktnykh vzaimodeistvii, eds. I. I Vorovich, V. M. Aleksandrov, Fizmatlit, M., 2001, 549–565
67.
A. B. Manzhirov, “Kontaktnye zadachi mekhaniki naraschivaemykh tel”, Mekhanika kontaktnykh vzaimodeistvii, eds. I. I Vorovich, V. M. Aleksandrov, Fizmatlit, M., 2001, 607–621
68.
A. D. Polyanin, A. V. Manzhirov, “The model solution method in the theory of linear integral equations”, Doklady Mathematics, 55:3 (1997), 444–448
69.
A. V. Manzhirov, “The general non-inertial initial-boundaryvalue problem for a viscoelastic ageing solid with piecewise-continuous accretion”, J. Appl. Math. Mech., 59:5 (1995), 805–816
70.
A. V. Manzhirov, V. A. Chernysh, “Zadacha ob usilenii zaglublennoi arochnoi konstruktsii metodom naraschivaniya”, Izv. AN. MTT, 27:5 (1992), 25–37
71.
A. V. Manzhirov, “Kontaktnye zadachi teorii vyazkouprugosti naraschivaemykh tel”, VII Vsesoyuznyi s'ezd po teoreticheskoi i prikladnoi mekhanike, Annotatsii dokladov (Moskva, 15–21 avgusta 1991 g.), M., 1991, 239–240
72.
A. V. Manzhirov, V. A. Chernysh, “The contact problem of the discrete fitting of an inhomogeneous viscoelastic ageing cylinder with a system of rigid collars”, J. Appl. Math. Mech., 55:6 (1991), 901-909
73.
A. V. Manzhirov, “The torsion of a growing cylinder by a rigid stamp”, J. Appl. Math. Mech., 54:5 (1990), 692–699
74.
A. V. Manzhirov, V. A. Chernysh, “Contact problem for a layered inhomogeneous aging cylinder reinforced by a rigid ring”, J. Appl. Mech. Tech. Phys., 31:6 (1990), 894–900
75.
N. Kh. Arutyunyan, A. V. Manzhirov, “Contact problems of the mechanics of bodies with accretion”, J. Appl. Math. Mech., 53:1 (1989), 117–128
76.
A. V. Manzhirov, V. A. Chernysh, “On the interaction of a rigid reinforcing sleeve and inhomogeneous aging high-pressure pipes”, Mech. Solids, 22:6 (1988)
77.
A. V. Manzhirov, “Contact problems of the interaction between viscoelastic foundations subjected to aging and systems of stamps not applied simultaneously”, J. Appl. Math. Mech., 51:4 (1987), 523–535
78.
A. V. Manzhirov, “Some formulations and solutions of contact problems of creep for arbitrary systems of dies”, Mech. Solids, 22:3 (1987), 134–145
79.
V. M. Aleksandrov, A. V. Manzhirov, “Two-dimensional integral equations in applied mechanics of deformable solids”, J. Appl. Mech. Tech. Phys., 28:5 (1987), 781–786
80.
V. M. Aleksandrov, E. V. Kovalenko, A. V. Manzhirov, “Kontaktnye zadachi teorii polzuchesti neodnorodno-stareyuschikh tel”, Analit. i chisl. metody resheniya kraevykh zadach plastich. i vyazkouprugosti, Izd-vo UNTs AN SSSR, Sverdlovsk, 1986, 3–13 pp.
81.
S. A. Grishin, A. V. Manzhirov, “Contact problems for a thin in nonlinear stabilized creep”, Mech. Solids, 21:6 (1986), 111–117
82.
A. V. Manzhirov, “On a method of solving two-dimensional integral equations of axisymmetric contact problems for bodies with complex rheology”, J. Appl. Math. Mech., 49:6 (1985), 777–782
83.
V. M. Aleksandorv, E. V. Kovalenko, A. V. Manzhirov, “Nekotorye smeshannye zadachi teorii polzuchesti neodnorodno-stareyuschikh sred”, Izv. AN ArmSSR. Mekhanika, 37:2 (1984), 12–25
84.
A. V. Manzhirov, “Axisymmetric contact problems for non-uniformly aging layered viscoelastic foundations”, J. Appl. Math. Mech., 47:4 (1983), 558–566
85.
A. V. Manzhirov, “Plane and axisymmetric problems of the action of loads on a thin nonuniform viscoelastic layer”, J. Appl. Mech. Tech. Phys., 24:5 (1983), 749–754
86.
A. V. Manzhirov, “O vliyanii neodnorodnogo stareniya na kontsentratsiyu napryazhenii vozle otverstii v nelineinykh vyazkouprugikh telakh”, Dokl. AN ArmSSR, 77:5 (1983), 214–218
87.
A. V. Manzhirov, “Kolebaniya neodnorodno-stareyuschego vyazkouprugogo armirovannogo sterzhnya”, Izv. AN ArmSSR. Mekhanika, 35:3 (1982), 31–37
88.
E. V. Kovalenko, A. V. Manzhirov, “Contact problem for a two-layer aging viscoelastic foundation”, J. Appl. Math. Mech., 46:4 (1982), 536–542
Books
89.
A. D. Polyanin, A. V. Manzhirov, Integralnye uravneniya, Spravochnik dlya vuzov: v 2 ch. 2-e izd. ispr. i dop. Ch. 1, Yurait, M., 2017, 369 pp.
90.
A. D. Polyanin, A. V. Manzhirov, Integralnye uravneniya, Spravochnik dlya vuzov: v 2 ch. 2-e izd. ispr. i dop. Ch. 2, Yurait, M., 2017, 238 pp.
91.
A. V. Egorov, A. V. Manzhirov, A. D. Polyanin, A Concise Handbook of Mathematics, Physics, and Engineering Sciences, eds. A. D. Polyanin, A. I. Chernoutsan, Chapman & Hall/CRC Press, Boca Raton, London, 2010, xxviii+1097 pp.
92.
A. D. Polyanin, A. V. Manzhirov, Handbook of Integral Equations. Second Edition, Chapman & Hall/ CRC Press, Boca Raton, London, 2008, xxxiv+1108 pp.
93.
A. D. Polyanin, A. V. Manzhirov, Handbook of mathematics for engineers and scientists, Chapman & Hall/CRC, Boca Raton, London, 2007, xxxii+1509 pp.
94.
A. D. Polyanin, A. V Manzhirov, Spravochnik po integralnym uravneniyam, Fizmatlit, M., 2003, 608 pp.
95.
A. V. Manzhirov, A. D. Polyanin, Spravochnik po integralnym uravneniyam: Metody resheniya, Faktorial Press, M., 2000, 384 pp.
96.
A. V. Manzhirov, A. D. Polyanin, Metody resheniya integralnykh uravnenii: Spravochnik, Faktorial, M., 1999, 272 pp.
97.
N. Kh. Arutyunyan, A. V. Manzhirov, Kontaktnye zadachi teorii polzuchesti, Izd-vo NAN RA, Erevan, 1999, 320 pp.
98.
A. D. Polyanin, A. V. Manzhirov, Handbook of Integral Equations, CRC Press, Boca Raton, New York, 1998, xxvi+787 pp.
99.
A. D. Polyanin, A. V. Manzhirov, Handbuch der Integralgleichungen: Exakte Lösungen, Spektrum Akademischer Verlag, Heidelberg:, 1999, xv+586 pp.
100.
N. Kh. Arutyunyan, A. V. Manzhirov, V. E. Naumov, Kontaktnye zadachi mekhaniki rastuschikh tel, Nauka, M., 1991, 176 pp.
Thesis
101.
A. V. Manzhirov, Kontaktnye zadachi teorii vyazkouprugosti naraschivaemykh tel, Dis. … dokt. fiz.-mat. nauk., IPM RAN, M., 1993, 377 pp.
102.
A. V. Manzhirov, Issledovanie napryazhenno-deformirovannogo sostoyaniya neodnorodno vyazkouprugikh tel pri ikh vzaimodeistvii s kontsentratorami i zhestkimi shtampami, Dis. … kand. fiz.-mat. nauk, MIEM, M., 1983, 209 pp.
Proceedings
103.
A. V. Manzhirov, “Kraevye zadachi naraschivaniya trekhmernykh tel dvumernymi poverkhnostyami”, VI Sessiya Nauchnogo soveta RAN po mekhanike, Materialy Vserossiiskoi konferentsii (Barnaul, Belokurikha, Rossiya, 26–31 iyulya 2012 g.), Izd-vo AltGTU, Barnaul, 2012, 15–16
104.
A. V. Manzhirov, “Advanced in mechanics of growing solids”, Abstract Books of 23rd International Congress of Theoretical and Applied Mechanics. ICTAM 2012 (Beijing, China, August 19–24, 2012), ICTAM, Beijing, 2012, 300–301
105.
A. V. Manzhirov, “Osnovy mekhaniki naraschivaemykh tel”, III sessiya Nauchnogo soveta RAN po mekhanike deformiruemogo tverdogo tela, Tez. dokl. Vseros. konf., ed. prof. L. Yu. Kossovich, Izd-vo Sarat. un-ta, Saratov, 2009, 29
106.
A. V. Manzhirov, “The wear contact problem for an elastic foundation with an inhomogeneous coating”, Proceedings of World Tribology Congress 2009 (Kyoto, Japan, 6–11 September 2009), Japanese Society of Tribologist, Kyoto, 2009, 157
107.
A. V. Manzhirov, “Mathematical theory of accreted solids and its applications”, XXII International Congress of Theoretical and Applied Mechanics, Abstract Book (Adelaide, Australia, 24–29 August 2008), eds. J. P. Denier, M. D. Finn, and T. Mattner, Adelaide, 2008, 271
108.
A. V. Manzhirov, “Naraschivanie deformiruemykh tel pod deistviem massovykh sil”, IX Vserossiiskii s'ezd po teoreticheskoi i prikladnoi mekhanike, Annotatsii dokladov (Nizhnii Novgorod, 22–28 avgusta 2006 g.), v. 3, Izd-vo NNGU im. M. I. Lobachevskogo, Nizhnii Novgorod, 2006, 142
109.
A. B. Manzhirov, “Metod resheniya integralnykh uravnenii kontaktnykh zadach dlya tel so slozhnymi svoistvami i formoi poverkhnosti”, Vosmoi Vserossiiskii s'ezd po teoreticheskoi i prikladnoi mekhanike, Annotatsii dokladov (Perm, 23–29 avgusta 2001 g.), UrO RAN, Ekaterinburg, 2001, 417
Popular science or education materials
110.
A. V. Manzhirov, “Razvitie idei N. Kh. Arutyunyana v sovremennoi mekhanike”, Aktualnye problemy mekhaniki sploshnoi sredy, Trudy mezhdunarodnoi konferentsii, posvyaschennoi 100-letiyu akademika NAN Armenii N. Kh. Arutyunyana (Tsakhkadzor, Armeniya, 8–12 oktyabrya 2012 g.), v. 2, EGUAS, Erevan, 2012, 5–13
Miscellaneous
111.
N. K. Gupta, A. V. Manzhirov, R. Velmurugan (eds.), Topical Problems in Theoretical and Applied Mechanics, Elite Publishing House, New Delhi, 2013, xiv+427 pp.
112.
A. V. Manzhirov, N. K. Gupta, D. A. Indeitsev (eds.), Topical Problems in Solid and Fluid Mechanics, Elit Publ. House, Delhi, 2011, 4111 pp.
113.
N. K. Gupta, A. V. Manzhirov (eds.), Topical Problems in Solid Mechanics, Elite Publishing, New Delhi, 2008, xiv+413 pp.
114.
E. A. Godin, A. V. Manzhirov, Yu. N. Radaev, E.Sh. Shteingold, Sposob opredeleniya mekhanicheskikh svoistv biologicheskikh myagkikh tkanei, A.s. # 1644029. Byul. izobr. i otkr. SSSR # 15 ot 23.04.91, 1991, 3 pp.
115.
E. A. Godin, S. A. Grishin, A. V. Manzhirov, Yu. N. Radaev, E.Sh. Shteingold, Sposob opredeleniya mekhanicheskikh svoistv kozhnogo pokrova, A.s. # 1586679. Byul. izobr. i otkr. SSSR # 31 ot 23.08.90, 1990, 3 pp.
Contact us: