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.
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.
