Integrability of the Equilibrium and Compatibility Equations for a Viscoplastic Medium with Negative Strain Rate Sensitivity
Main publications:
Keller I. E., “Integriruemost uravnenii ravnovesiya i sovmestnosti vyazkoplasticheskoi sredy s otritsatelnoi chuvstvitelnostyu k skorosti deformatsii”, DAN, 451:6 (2013), 643–646
Keller I. E., “Ravnovesnye formy svobodnoi granitsy
pri odnoosnom rastyazhenii nelineino-vyazkoi polosy”, PMTF, 51:1 (2010), 117–124
Keller I. E., Trusov P. V., “Fragmentatsiya metallov pri bolshikh deformatsiyakh: odin mekhanizm obrazovaniya prostranstvenno-modulirovannykh vikhrevykh struktur”, PMTF, 43:2 (2002), 176–186
Keller I. E., Trusov P. V., “Obobschenie teorii Bishopa–Khilla plasticheskogo formoizmeneniya monokristalla”, Izvestiya RAN. Mekhanika tverdogo tela, 1997, № 6, 93–103
D. S. Dudin, I. E. Keller, “Description of sulfide-oxide and chloride corrosion of heat-resistant alloys taking into account stresses. I. Mathematical model”, Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2025, no. 1(63), 123–133
Dmitriy S. Dudin, Ilya E. Keller, Gleb L. Permyakov, Dmitriy N. Trushnikov, “Modelling of residual stresses and distortions of the wall on a substrate built by wire-arc surfacing”, J. Sib. Fed. Univ. Math. Phys., 17:1 (2024), 75–90
3.
N. K. Salikhova, D. S. Dudin, I. E. Keller, D. S. Petukhov, E. A. Gachegova, A. B. Maksimov, “Eigenstrains and residual stresses after gradient thermomechanical treatment of thick-sheet steel: numerical modelling and experiment”, Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2024, no. 3(61), 70–91
2023
4.
N. K. Salikhova, D. S. Dudin, I. E. Keller, G. L. Permyakov, D. N. Trushnikov, “A model of deflection of the wall on a substrate during wire-arc surfacing and its experimental confirmation for an aluminum alloy”, Vestn. Chuvash. Gos. Ped. Univ. im.I.Ya. Yakovleva Ser.: Mekh. Pred. Sost., 2023, no. 3(57), 5–24
I. E. Keller, D. S. Petukhov, A. Kazantsev, V. N. Trofimov, “The limit diagram under hot sheet metal forming.
A review of constitutive models of material, viscous failure criteria and standard tests”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:3 (2018), 447–486
I. E. Keller, V. N. Trofimov, A. Vladykin, V. V. Plyusnin, D. S. Petukhov, I. Vindokurov, “On the reconstruction of residual stresses and strains of a plate after shot peening”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 22:1 (2018), 40–64
D. S. Petukhov, I. E. Keller, “Dual plane problems for creeping flow of power-law incompressible medium”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 20:3 (2016), 496–507
I. E. Keller, “Self-similar shapes of the free boundary of a nonlinear-viscous band under uniaxial tension”, Prikl. Mekh. Tekh. Fiz., 51:1 (2010), 117–124; J. Appl. Mech. Tech. Phys., 51:1 (2010), 99–105
I. E. Keller, P. V. Trusov, O. V. Shishkina, D. V. Davydov, “Stability approach to testing the constitutive relations of superplasticity”, Prikl. Mekh. Tekh. Fiz., 48:6 (2007), 170–177; J. Appl. Mech. Tech. Phys., 48:6 (2007), 915–921
I. E. Keller, P. V. Trusov, “Fragmentation of metals at high strains: a mechanism of formation of spatially-modulated vortex structures”, Prikl. Mekh. Tekh. Fiz., 43:2 (2002), 176–186; J. Appl. Mech. Tech. Phys., 43:2 (2002), 320–327
I. E. Keller, P. V. Trusov, “Model for plasticity effects in metals under nonproportional cyclic loading”, Prikl. Mekh. Tekh. Fiz., 40:6 (1999), 144–151; J. Appl. Mech. Tech. Phys., 40:6 (1999), 1126–1132
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