Construction of mathematical models of deformable media, conducting of numerical investigation of wave processes in damageable and porous thermoelastoviscoplastic media. The problems of mathematical modelling of space debris behavior. Mathematical modelling of deformation anf fracture of deformable media (porous, composite), fragmentation of constructions under impact and explosion.
Biography
Graduated from Faculty of Mechanics and Mathematics of Moscow M. V. Lomonosov State University (MSU) in 1978 (department of gas and wave dynamics). Ph.D. thesis was defended in 1981. D.Sc. thesis was defended in 1992. A list of my works contains more than 100 titles included 4 books.
USSR Council of Ministers Award (1990). Medal "The Day of Soviet Science" (1992). Since 1995 Member of IMACS (Int. Association fof Mathematics and Computers in Simulation).
Main publications:
Kiselev A. B., Yumashev M. V. Deformirovanie i razrushenie pri udarnom nagruzhenii. Model povrezhdaemoi termouprugoplasticheskoi sredy // Prikl. mekhan. i tekhn. fizika (PMTF). 1990. # 5. 116–123.
Kiselev A. B., Maksimov V. F. Chislennoe modelirovanie normalnogo probivaniya tonkoi pregrady deformiruemym telom vrascheniya // Izv. RAN. Mekh. tv. tela (MTT). 1995. # 5. 162–171.
Kiselev A. B. Matematicheskoe modelirovanie dinamicheskogo deformirovaniya i kombinirovannogo mikrorazrusheniya termouprugovyazkoplasticheskoi sredy // Vestn. Mosk. un-ta. Ser. 1. Matem., mekh. 1998. # 6. 32–40.
Kiselev A. B., Nikitin V. F., Smirnov N. N., Yumashev M. V. Neustanovivshiesya dvizheniya avtotransporta na koltsevoi magistrali // Prikl. mekhan. i matem. (PMM). 2000. 64(4). 671&ndash678.
Vysokoskorostnoe vzaimodeisvie tel / Fomin V. M., Gulidov A. I., Kiselev A. B. i dr. Novosibirsk: Izd-vo SO RAN, 1999. 600 s.
A. B. Kiselev, A. V. Mischenko, “Elastoplastic models to describe experimental data on the spallation fracture under impact of plates”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 29–36; Moscow University Mechanics Bulletin, 70:6 (2015), 135–143
A. B. Kiselev, A. V. Mischenko, “Elastoplastic problems in the uniaxially strained state approximation. Analytical and numerical solutions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 2, 37–45; Moscow University Mechanics Bulletin, 69:2 (2014), 35–43
A. B. Kiselev, P. P. Zacharov, “On numerical modeling of dynamics of irreversible deforming and fracture of oil-bearing layer”, Mat. Model., 25:3 (2013), 62–74
2012
4.
A. B. Kiselev, “Modelling of fragmentation of thin-shelled constructions and compact elements under explosive loading and impact interaction”, Mat. Model., 24:2 (2012), 33–66
5.
A. B. Kiselev, “Unsteady expansion of thick-wall spherical and cylindrical viscoplastic shells”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 6, 20–25; Moscow University Mechanics Bulletin, 67:5-6 (2012), 116–121
A. B. Kiselev, V. A. Yarunichev, “A study on the fragmentation of space debris particles at high-speed collision”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 2, 26–35
A. B. Kiselev, A. V. Kokoreva, V. F. Nikitin, N. N. Smirnov, “Mathematical modelling of motion of two-lane traffic flow by light signal”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 4, 35–40
A. B. Kiselev, O. V. Nekhaeva, “Numerical modelling of dynamical strain and fracture of a thick-walled cylindrical shell”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 2, 33–37
2004
9.
A. B. Kiselev, O. V. Nekhaeva, “Numerical modelling of dynamical strain and fracture of a thick-wall spherical shell”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 5, 53–58
10.
A. B. Kiselev, A. A. Lukyanov, M. Thiercelin, “Numerical simulation of dynamic propagation of curvilinear
cracks of hydraulic fracturing”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 1, 36–41
N. N. Smirnov, A. B. Kiselev, V. F. Nikitin, “High-speed collisions of space debris particles with gas-filled shells”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 1, 54–66
2002
12.
N. N. Smirnov, A. B. Kiselev, A. I. Nazarenko, “Mathematical modeling of space debris evolution in near-earth orbits”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 4, 33–41
A. B. Kiselev, “A model of fragmentation of space debris particles at high-speed collision”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 3, 50–55
N. N. Smirnov, A. B. Kiselev, V. F. Nikitin, M. V. Yumashev, “Mathematical modeling of automobile traffic on highways”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 4, 39–44
A. B. Kiselev, “Mathematical modeling of explosive destruction of spherical shells with formation of two populations of fragments”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 2, 41–48
A. B. Kiselev, “Mathematical modeling of dynamical deformation and combined microfracture of a thermoelastoviscoplastic medium”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 6, 32–40
A. B. Kiselev, “Numerical modeling of deformation and destruction of a thin-walled spherical shell (made of laminated viscoelastic composite and filled with fluid) under action of explosion at the center of the shell”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 5, 41–48
1996
19.
A. B. Kiselev, “Mathematical modelling of thin-walled spherical shell fragmentation under dynamical internal pressure”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 3, 52–60
A. B. Kiselev, “Simple mathematical models of the explosive failure of a spacecraft”, Prikl. Mekh. Tekh. Fiz., 36:2 (1995), 159–165; J. Appl. Mech. Tech. Phys., 36:2 (1995), 287–293
A. B. Kiselev, “On boundary conditions for centrally and axially symmetric problems of mechanics of a deformable rigid body”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 6, 105–107
22.
A. B. Kiselev, “On the numerical integration of equations of the flow of a hardening elastoplastic medium”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1995, no. 4, 71–74
1994
23.
A. B. Kiselev, M. V. Yumashev, “Numerical investigation of dynamic processes
of thermoelastic plastic medium deformation and microfracture”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 1, 69–77
1993
24.
A. B. Kiselev, “On investigation of flat nonsteady elastoplastic flow between parallel plates”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 5, 70–73
25.
A. B. Kiselev, “The simplest mathematical model of spacecraft failure in explosion”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 4, 49–53
A. B. Kiselev, M. V. Yumashev, “Mathematical model of the deformation and fracture of solid fuel in shock loading”, Prikl. Mekh. Tekh. Fiz., 33:6 (1992), 126–134; J. Appl. Mech. Tech. Phys., 33:6 (1992), 885–892
N. E. Kabak, A. B. Kiselev, V. F. Maksimov, “A method for constructing calculation networks in two-dimensional regions with separation of interior contact interfaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 3, 35–42
28.
A. B. Kiselev, M. V. Yumashev, “Numerical investigation of micropores in thermo-elastic-viscoplastic material”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 1, 78–83
A. B. Kiselev, M. V. Yumashev, “Deformation and failure under impact loading. Model of a thermoelastoplastic medium”, Prikl. Mekh. Tekh. Fiz., 31:5 (1990), 116–123; J. Appl. Mech. Tech. Phys., 31:5 (1990), 775–782
V. M. Gendugov, A. B. Kiselev, “Numerical chop-off investigation in plate under explosion of planted explosive charge”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 5, 54–58
A. B. Kiselev, M. V. Yumashev, “On criterions of dynamical rupture of thermo-elastic plastic medium which is being damaged”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 4, 38–44
A. B. Kiselev, “On Lagrangian coordinates calculation for three dimensional problem of high velocity impact of plasto-elastic bar with rigid target”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 2, 30–36
1986
33.
A. B. Kiselev, “The criterion of dynamic failure in impact interaction of elastoplastic bodies”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 6, 46–51
1985
34.
A. B. Kiselev, “Numerical investigation of impact of elastic-plastic solids against a rigid barrier in the three-dimensional case”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 4, 51–56
1984
35.
V. F. Maksimov, A. B. Kiselev, “Numerical simulation of complex interaction between a shell of revolution and its filler, with allowance for friction”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 2, 85–89
1982
36.
V. F. Maksimov, A. B. Kiselev, “Numerical simulation of complex interaction between an elastic-plastic shell of revolution and an elastic filler”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 1, 63–68
2014
37.
R. I. Nigmatulin, Yu. A. Dem'yanov, N. N. Smirnov, A. V. Zvyagin, A. B. Kiselev, V. L. Kovalev, B. P. Rybakin, V. M. Gendugov, S. V. Guvernyuk, V. K. Dushin, V. P. Kolpakov, V. L. Natyaganov, Yu. G. Filippov, “Artur Yakovlevich Sagomonyan centenary (1914–2001)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 6, 69–70
1970
38.
A. B. Kiselev, “Thirteenth scientific and technical conference of the all-union research institute of the technology of electric machinery and equipment manufacture”, TVT, 8:6 (1970), 1328–1329; High Temperature, 8:6 (1970), 1253–1254