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
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.