three-dimensional stability theory of deformable bodies, materials with a porous structure and rheology of complex compressed skeleton, small deformation
Main publications:
1. Lokalnaya neustoichivost plastin s zapressovannymi koltsevymi vklyucheniyami pri uprugoplasticheskom povedenii materialov (statya)
2. Local instability of plates with pressed-in annular inclusions at the elastoplastic behavior of materials
3. Issledovanie ustoichivosti sostoyaniya ravnovesiya gornogo massiva vozle mnogosloinoi sfericheskoi krepi pri uprugoplasticheskom povedenii materialov (statya)
4. Issledovanie ustoichivosti sostoyaniya ravnovesiya mnogosloinoi krepi vertikalnoi gornoi vyrabotki v massivakh s uprugoplasticheskimi svoistvami (statya)
5. Stable equilibrium of the multilayer lining of a vertical mine opening in elastoplastic rock mass
6. Lokalnaya neustoichivost podkreplennykh gornykh vyrabotok (statya)
7. Lokalnaya neustoichivost gorizontalnykh vyrabotok s mnogosloinoi krepyu v uprugo-plasticheskikh massivakh (statya)
8. Lokalnaya neustoichivost gorizontalnykh vyrabotok mnogougolnoi formy v uprugo-vyazko-plasticheskikh massivakh (statya)
9. Local instability of horizontal tunnels of polygonal shape in viscoelastoplastic masses
10. Lokalnaya neustoichivost gorizontalnykh vyrabotok nekrugovoi formy v uprugo-vyazko-plasticheskikh massivakh (statya)
11. Lokalnaya neustoichivost gorizontalnykh vyrabotok ellipticheskoi formy v uprugo-vyazko-plasticheskikh massivakh (statya)
12. Modelirovanie protsessa deformirovaniya gornykh vyrabotok s nekrugovymi mnogosloinymi krepyami v massivakh so slozhnymi reologicheskimi svoistvami (statya)
13. Ustoichivost podkreplennykh vyrabotok nekrugovoi formy pri sovmestnom raschete krepi i massiva gornykh porod (statya)
14. Ustoichivost podkreplennoi vertikalnoi gornoi vyrabotki ellipticheskoi formy v massivakh so slozhnymi reologicheskimi svoistvami (statya)
15. Matematicheskaya model napryazhenno-deformirovannogo sostoyaniya poristogo gornogo massiva s uprugo-vyazko-plasticheskimi svoistvami vblizi vertikalnoi vyrabotki (statya)
16. Ustoichivost vertikalnykh gornykh vyrabotok v uprugovyazkolasticheskikh massivakh s poristoi strukturoi (statya)
17. Ustoichivost tsilindricheskikh gornykh vyrabotok v poristykh massivakh so slozhnoi reologiei szhatogo skeleta (statya)
18. Otkaz krugovoi tsilindricheskoi truby s reologicheski slozhnym zapolnitelem pri radialnom szhatii (statya)
19. Metod vozmuschenii v zadachakh ustoichivosti podkreplennykh gornykh vyrabotok (monografiya)
20. Ustoichivost gornykh vyrabotok v poristykh massivakh so slozhnoi reologiei szhatogo skeleta (statya)
21. O vliyanii sily tyazhesti na napryazhenno-deformirovannoe sostoyanie tolstostennykh tsilindricheskikh trub (statya)
22. Napryazhennoe sostoyanie tolstostennykh tsilindricheskikh trub s uchetom sily tyazhesti dlya materialov so slozhnoi reologiei (statya)
23. Vliyanie sily tyazhesti na napryazhenno-deformirovannoe sostoyanie nekrugovykh tolstostennykh tsilindricheskikh trub
24. Ustoichivost tsilindricheskoi obolochki s uprugovyazkoplasticheskim zapolnitelem pri osevom nagruzhenii
(statya)
25. Matematicheskaya model otkaza poluprostranstva, oslablennogo krugovoi tsilindricheskoi polostyu dlya poristykh sred so slozhnoi reologiei szhatogo skeleta
26. Nekotorye voprosy ustoichivosti nelineinykh vyazko-uprugikh sred v primenenii k zadacham gidrometeorologicheskogo obespecheniya
27. Otsenka kriticheskikh nagruzok konstruktsii shakhtnogo stvola ballisticheskoi rakety na osnove tochnogo resheniya zadachi ustoichivosti mnogosloinoi vertikalnoi krepi
28. O vliyanii sily tyazhesti na napryazhenno-deformirovannoe sostoyanie tolstostennykh tsilindricheskikh trub s vklyucheniem
29. Ustoichivost monolitnoi krepi podzemnogo neftekhranilischa sfericheskoi formy s uchetom nachalnoi poristosti materiala
D. V. Gotsev, N. S. Perunov, “Mathematical model of the stress-strain state of an elastic cylindrical body with a porous filler”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2017, no. 47, 43–50
D. V. Gotsev, A. E. Buntov, “The stability of monolithic lining of the vertical mine workings
with the initial porosity of the material and non-elastic compression work skeleton”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:3 (2016), 457–474
3.
D. V. Gotsev, N. S. Perunov, “Distribution of stress and displacement fields in a porous spherical body with allowance for elastic and plastic properties”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2016, no. 2(40), 45–52
4.
D. V. Gotsev, N. S. Perunov, “Mathematical model of intense deformed state of two-layered elastic spherical body within the porosity structure of the material”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:4 (2016), 41–48
2011
5.
D. V. Gotsev, “Stability of the cylindrical cover with the elastic-viscous-plastic filler at axial compression”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(2) (2011), 86–91
6.
A. N. Sporykhin, D. V. Gotsev, L. G. Plotnikov, “Stress of heavy-wall tubing cylindrical pipes taking into account the gravity for materials with difficult rheology”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011), 110–115
2010
7.
D. V. Gotsev, A. N. Stasjuk, “Stability of vertical mountain developments in elastic-viscous-plastic files with porous structure”, Izv. Saratov Univ. Math. Mech. Inform., 10:2 (2010), 59–65
2005
8.
D. V. Gotsev, I. A. Enenko, A. N. Sporykhin, “Local instability of horizontal tunnels of polygonal shape in viscoelastoplastic masses”, Prikl. Mekh. Tekh. Fiz., 46:2 (2005), 141–150; J. Appl. Mech. Tech. Phys., 46:2 (2005), 267–274
D. V. Gotsev, A. V. Kovalev, A. N. Sporykhin, “Local instability of plates with pressed–in annular inclusions at the elastoplastic behavior of materials”, Prikl. Mekh. Tekh. Fiz., 42:3 (2001), 146–151; J. Appl. Mech. Tech. Phys., 42:3 (2001), 505–509
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