BOOKS »»
Invariant Integrals in Physics, Springer, 2019, 259 p.
Fracture: A Topical Encyclopedia of Current Knowledge (sole Editor), Krieger Publ., Melbourne, 1998, 890 p.
Mechanics of Brittle Fracture, McGraw Hill, New York, 1979, 950 p.
Methods of Fracture Mechanics: Solid Matter Physics, Kluwer Publ., Dordrecht, 1997.
Elastic-Plastic Problems, ASME, New York, 1988 (with B.D. Annin).
Rock Fracture Mechanics in Drilling, Moscow, Nedra, 1987 (in Russian).
Fracture Mechanics of Rocks in Drilling Processes, Moscow, Nedra, 1987, 307 p. (in Russian).
Fracture Mechanics of Composite Materials, Moscow, Nauka, 1983 (in Russian).
Elastic-Plastic Problem, Novosibirsk, Nauka, 1983, 238 p. (with B.D. Annin, in Russian).
Fracture Mechanics, Moscow, Mashinostroenie, 1977, 224 p. (with L.V. Ershov, in Russian).
Some Mathematical Applications to Mining Problems, Moscow, MGI, 1977, 91 p. (with L.V. Ershov, in Russian).
Mathematical Foundations of Rock Mass Modeling, Moscow, MGI, 1977, 80 p. (with L.V. Ershov, in Russian).
Methods of Solving Rock Mechanics Problems, Moscow, MGI, 1976, 94 p. (with L.V. Ershov, in Russian).
Contact Problems of Elasticity Theory (with L.A. Galin, V.M. Alexandrov et al.), Moscow, Nauka, 1975 (in Russian).
Mechanics of Brittle Fracture, Moscow, Nauka, 1974, 640 p. (in Russian).
Fracture and Fatigue (Russian Edition Editor), Moscow, MIR, 1978 — Translated from Composite Materials, Vol. 5 (Ed. L. J. Broutman), Academic Press, 1974.
Two-Dimensional Separated Flows (English Edition Editor), CRC Press, London — Boca Raton, 1993.
Method of Discrete Vortices (English Edition Editor), CRC Press, London — Boca Raton, 1993.
SELECTED CHAPTERS »»
"Electrochemical Stress Corrosion Cracking", in treatise: Electrochemical Materials Science (O'M. Bockris, Ed.), New York, Plenum Press, 1981.
"An Introduction to Two-Dimensional Separated Flows", pp. 1-11, in Two-Dimensional Separated Flows, by S. M. Belotserkovsky et al., CRC Press, 1993.
"An Introduction to Singular Integral Equation in Aerodynamics", pp. 1-27, in Method of Discrete Vortices, by S. M. Belotserkovsky and M. I. Lifanov, CRC Press, 1993.
"Fracture Mechanics", in Anniversary Volume: Mechanics in the USSR for Fifty Years, V. 3, Moscow, Nauka, 1972 (with V. Z. Parton, in Russian).
SELECTED RESEARCH PAPERS (1960–1969) »»
On the influence of body boundaries on the development of brittle cracks (with G.L. Barenblatt), Notices of the USSR Academy of Sciences, 1960, N.3.
On wedging of brittle bodies (with G. I. Barenblatt), Appl. Math. and Mech. (PMM), 1960, V.24, N.4.
On equilibrium and propagation of cracks in an anisotropic medium (with G. I. Barenblatt), Appl. Math. and Mech. (PMM), 1961, V.25, N.1.
On the finiteness of stresses at a crack-tip (with G. I. Barenblatt), Appl. Math. and Mech. (PMM), 1961, V.25, N.4.
Stresses in an inhomogeneous plate having slits, Notices of the USSR Academy of Sciences, 1962, N.1.
Inverse elastic-plastic problems of antiplane strain, Appl. Math. and Mech. (PMM), 1962, V.26, N.5.
Brittle screw shear cracks (with G. I. Barenblatt), Appl. Math. and Mech. (PMM), 1962, V.26, N.6.
Unsteady propagation of cracks (with G. I. Barenblatt and R.L. Salganik), Appl. Math. and Mech. (PMM), 1962, V.26, N.2.
A class of problems in the plane theory of elasticity, Notices of the USSR Academy of Sciences, 1962, N.4.
Elastic-plastic problems of anti-plane strain, Appl. Math. and Mech. (PMM), 1962, V.26, N.4.
A solution to one linear Riemann problem, Appl. Math. and Mech. (PMM), 1962, V.26, N.5.
A non-linear boundary value problem, Doklady of the USSR Academy of Sciences, Math. Physics, 1962, V.147, N.3.
A problem of punch, Appl. Math. and Mech. (PMM), 1963, V.27, N.I.
An inverse elastic-plastic problem, Notices of the USSR Academy of Sciences, 1963, N.1.
A class of exact solutions in plane elastic-plastic problem, Notices of the USSR Academy of Sciences, 1963, N.3.
Buckling of membranes with holes under extension, Appl. Math. and Mech. (PMM), 1963, V.27, N.2.
A method of the solution to elastic-plastic problems, Appl. Math. and Mech. (PMM), 1963, V.27, N.3.
On the influence of pulses on the development of existing cracks, Journal of Applied Mechanics and Technical Physics, 1963, N.1.
Some problems of the crack theory in a hydrodynamical model, Appl. Math. and Mech. (PMM), 1963, V.27, N.6.
On stagnant zones ahead of a body moving in a fluid, Journal of Applied Mechanics and Technical Physics, 1963, N.3.
A solution to some problems of the theory of elasticity and plasticity, Appl. Math. and Mech. (PMM), 1964, V.28, N.I.
The Riemann-Hilbert problem of a plane with cuts, Doklady of the USSR Academy of Sciences, Math. Physics, 1964, V.156, N.2.
The flow of an ideal fluid with free surfaces, Appl. Math. and Mech. (PMM), 1964, V.27, N.4.
Boundary value problems in the case of analytical coefficients, Doklady of the USSR Academy of Sciences, Math. Physics, 1965, V.161, N.2.
Indentation of a solid onto plates and shells, Appl. Math. and Mech. (PMM), 1965, V.29, N.1.
Some problems of the theory of elasticity and plasticity with unknown boundaries, Applications of the Theory of Functions to Continuum Mechanics, V.1, Tbilisi, Nauka, 1965.
On the solution of statically-indeterminable elastic-plastic problems, Soviet Mechanics of Solids, 1965, N.6.
One case of the Riemann problem for several functions, Doklady of the USSR Academy of Sciences, Math. Physics, 1965, V.161, N.6.
On the theory of detonation in heterogeneous mixtures, Journal of Applied Mechanics and Technical Physics, 1965, N.4.
On the theory of normal velocity of combustion, Appl. Math. and Mech. (PMM), 1965, V.28, N.4.
On the impact of an explosion onto a body submerged in a fluid, Proceedings of Science Committee on Using Explosions in the National Economy, Alma-Ata, Nauka, 1965.
On the nature of pinch-effect and some other issues, Journal of Applied Mechanics and Technical Physics, 1965, N.2.
Inverse problems in the theory of elasticity, Soviet Mechanics of Solids, 1966, N.3.
Equistrong excavations in rocks, Problems of Rock Mechanics, Alma-Ata, Nauka, 1966.
On flame drilling, Journal of Applied Mechanics and Technical Physics, 1966, N.6.
Some topics of the fracture of brittle materials under compression, Problems of Rock Mechanics, Alma-Ata, Nauka, 1966.
On crack propagation in compressed bodies, Appl. Math. and Mech. (PMM), 1966, V.30, N.I.
On local buckling of shells, Soviet Mechanics of Solids, 1966, N.I.
On the self-maintaining fracture of high-stressed brittle bodies (with L.A. Galin), Doklady of the USSR Academy of Sciences, Mechanics, 1966, V.167, N.3.
Stresses near a hole in plates of a polymer material (with L.A. Galin), Doklady of the USSR Academy of Sciences, Mechanics, 1966, V.167, N.1.
On fracture of a high-strength glass (with L.A. Galin et al.), Doklady of the USSR Academy of Sciences, Mechanics, 1966, V.169, N.5.
Energy flux into a crack-tip, Soviet Materials Science, 1966, N.6.
On crack propagation in continuous media, Appl. Math. and Mech. (PMM), 1967, V.31, N.3.
On the mathematical theory of equilibrium cracks, Soviet Mechanics of Solids, 1967, N.6.
A contact elastic-plastic problem of plates (with L.A. Galin), Doklady of the USSR Academy of Sciences, Mechanics, 1967, V.177, N.1.
The plane problem of fluidization (with Yu.P. Gupalo), Appl. Math. and Mech. (PMM), 1967, V.31, N.4.
On strength of composites, Journal of Applied Mechanics and Technical Physics, 1967, N.3.
On quasi-brittle fracture, Appl. Math. and Mech. (PMM), 1968, V.32, N.6.
Some boundary value problems of the theory of analytical functions, Advances in Physics, Mathematics and Mechanics, Moscow, Nauka, 1968.
On crack growth under cyclic loadings, Journal of Applied Mechanics and Technical Physics, 1968, N.6.
Cracks in solids, Int. Journal of Solids and Structures, 1968, V.4, N.4, pp. 811-831.
A point explosion in a brittle medium, Journal of Applied Mechanics and Technical Physics, 1969, N.3.
One elastic-plastic problem for a plane having rectilinear slits (with V.Z. Parton and B.V. Kudriavtsev), Soviet Mechanics of Solids, 1969, N.3.
On modeling in linear rheology, Problems of Hydrodynamics and Continuum Mechanics (L.I. Sedov Sixtieth Birthday Volume), Moscow, Nauka, 1969. English edition: New York, SIAM, 1969.
Elastic-plastic problems, Soviet Mechanics of Solids, 1969, N.2.
On cavity growth in viscous media, Appl. Math. and Mech. (PMM), 1969, N.3.
The shrink fit of viscoelastic materials (with V.M. Mirsalimov), Notices of Azerbaijan Academy of Sciences, 1969, N.3.
On fracture of brittle bodies by impact (with V.B. Sokolinsky), Proceedings of Conference on Contact Problems, Moscow, Nauka, 1969.
On reinforcement of a crack using stiffness stringers (with V.M. Mirsalimov), Notices of Azerbaijan Academy of Sciences, 1969, N.1.
On crack growth in viscous media, Soviet Mechanics of Solids, 1969, N.1.
Brittle pressure vessel strength, Journal of Applied Mechanics and Technical Physics, 1969, N.6.
On fluidizing a particulate bed (with Yu.P. Gupalo), Soviet Mechanics of Fluid and Gas, 1969, N.I.
A periodic problem for slits (with V.Z. Parton and B.V. Kudriavtsev), Soviet Mechanics of Solids, 1969, N.1.
On crack propagation in solids, Int. Journal of Solids and Structures, 1969, V.5, N.3.
SELECTED RESEARCH PAPERS (1970–1979) »»
The rate of abrasive wear-and-tear of oil-and-gas transport machinery (with E.F. Afanasiev et al.), Oil Economy, 1970, N.3.
Singular solutions in the theory of elasticity, Problems of Solid Mechanics (V.V. Novozhilov Sixtieth Birthday Volume), Leningrad, 1970.
Self-similar problems of the dynamic theory of elasticity for a slit with point sources (with E.F. Afanasiev), Doklady of the USSR Academy of Sciences, 1970, V.190, N.61.
A local plastic zone near a crack-tip for plane stress (with V.Z. Parton and B.V. Kudriavtsev), Soviet Mechanics of Solids, 1970, N.5.
On boundary conditions at a crack-tip (with L.A. Galin, V.Z. Parton et al.), Doklady of the USSR Academy of Sciences, Mechanics, 1970, V.189, N.3.
Metal erosion in the abrasive flux of a fluid or gas, Proceedings of Gubkin Institute of Oil and Gas, 1970, N.2.
On the scaling effect (with L.P. Karasev et al.), Strength of Materials, 1970, N.7.
A simple method to measure fracture energy (with L.P. Karasev), Soviet Materials Science, 1970, N.2.
An analysis of experimental data on fatigue (with H. Halmanov), Journal of Applied Mechanics and Technical Physics, 1970, N.5.
Combustion in narrow cavities, Journal of Applied Mechanics and Technical Physics, 1970, N.2.
The mathematical method of optimal design of open excavations (with V.V. Rzevsky and L.K. Libermann), Mining Journal, 1971, N.9.
On strength of cracked composites (with V.V. Panasuk and L.T. Bereznitsky), Stress Concentration, N.3, Kiev, Naukova Dumka, 1971.
Crack problems in the classical theory of elasticity, New Abroad Books, 1971, N.9.
Some basic problems of the crack growth in elastic-plastic and viscous media, Stress Concentration, N.3, Kiev, Naukova Dumka, 1971.
Some topics of linear fracture mechanics, Strength of Materials, 1971, N.2.
On explosion in a brittle medium (with V.V. Rzevsky and L.V. Ershov), Int. Journal of Engineering Fracture Mechanics, 1972, V.4, N.2.
Preventing rock bursts in preparatory excavations (with S.G. Avershin and V.N. Mosinets), Explosion Engineering, 1972, N.71/28.
On the nature of rock bursts (with S.G. Avershin and V.N. Mosinets), Doklady of the USSR Academy of Sciences, Geophysics, 1972, V.204, N.3.
An estimate of the residual stress effect on the strength of brittle welded hulls having surface defects (with L.P. Karasev and A.B. Kaplun), Strength of Materials, 1971, N.12.
On fatigue crack growth (with H. Halmanov), Proceedings of All-Union Symposium on Low-Cyclic Fatigue, Kaunas, 1972.
The solution to a dynamic problem of the theory of elasticity (with V.D. Kuliev), Notices of Azerbaijan Academy of Sciences, Mathematics and Mechanics, 1972, N.4.
Unsteady diffraction of elastic waves on a cut, Continuum Mechanics and Some Related Problems in Analysis (N.I. Muskhelishvili Memorial Volume), Moscow, Nauka, 1972.
A 3D problem of the theory of elasticity for the exterior of an ellipsoid (with V.M. Smolsky), Some Mathematical Problems of Rock Mechanics, Alma-Ata, Nauka, 1972.
On the growth of corrosion cracks (with L.V. Ershov et al.), Int. Journal of Corrosion, 1972, V.27, N.12.
On the theory of fatigue crack growth (with H. Halmanov), Int. Journal of Engineering Fracture Mechanics, 1972, V.4, N.2.
On the fracture of brittle materials by impact (with V.B. Sokolinsky), Int. Journal of Engineering Fracture Mechanics, 1972, V.4, N.2.
On the theory of fluidization — Part 1: General model; Part 2: Some one-dimensional problems, Industrial and Engineering Chemistry Fundamentals, 1972, V.11.
Effect of loading frequency and chemically-inactive environment on fatigue crack growth (with V.D. Kuliev), Strength of Materials, 1972, N.1.
On the theory of stability of rock slopes and open excavations (with V.V. Rzevsky et al.), Doklady of the USSR Academy of Sciences, Geophysics, 1973, V.211, N.4.
Dynamic problems of the elasticity theory (with E.F. Afanasiev), Appl. Math. and Mech. (PMM), 1973, V.37, N.4.
On the theory of crack growth due to hydrogen embrittlement, Int. Journal of Corrosion, 1973, N.8.
On fatigue crack growth under low-level stresses (with H. Halmanov), Journal of Applied Mechanics and Technical Physics, 1973, N.2.
On the non-uniqueness problem in the theory of plasticity, Doklady of the USSR Academy of Sciences, Mechanics, 1974, V.218, N.4.
Inverse problems in the plane theory of elasticity, Appl. Math. and Mech. (PMM), 1974, V.38, N.6, pp. 963-979.
Some inhomogeneous problems of the theory of elasticity (with O. Sotkilava), Appl. Math. and Mech. (PMM), 1974, V.38, N.3.
On the theory of fracture of a brittle body by explosion, Dynamic Crack Propagation (G. Sih, Ed.), Leyden, Noordhoof International Publishers, 1974.
Some dynamic problems of the theory of elasticity (with E.F. Afanasiev), Int. Journal of Engineering Sciences, 1974, N.12.
Fracture of brittle materials due to heating (with V.D. Kuliev), Proceedings of Moscow Mining Institute, 1974.
On the theory of "hot" cracks (with V.D. Kuliev), Journal of Applied Mechanics and Technical Physics, 1974, N.2.
On the crack growth below Kiscc (with H. Halmanov), Int. Journal of Engineering Fracture Mechanics, 1974, N.12.
Crack growth under variable and cyclic loadings (with H. Halmanov and V.D. Kuliev), Fatigue and Fracture Toughness of Metals, Moscow, Nauka, 1974.
Estimate of the critical level of residual stresses arising after welding (with A.B. Kaplun), Soviet Materials Science, 1974, V.10, N.3.
Solid fracture modeling (with L.I. Sedov and V.Z. Parton), Selected Problems of Applied Mechanics, Moscow, VINITI, 1974.
On crack growth owing to hydrogen embrittlement, Int. Journal of Engineering Fracture Mechanics, 1974, N.2.
A design of an underwater pipeline with account of the bottom relief (with T.N. Kiasbeyly), Construction of Pipelines, 1975, N.10.
The method of inner and outer expansions in the theory of elasticity, Mechanics of Deformation of Solids and Structures (Yu.N. Rabotnov Sixtieth Birthday Volume), Moscow, Mashinostroenie, 1975.
Local fluidization near obstacles (with Y.P. Gupalo), Appl. Math. and Mech. (PMM), 1975, V.39, N.2.
Modeling of the phenomenon of fracture in solids (with L.I. Sedov and V.Z. Parton), Prospects of Fracture Mechanics (D. Broek, Ed.), Leyden, Noordhoof International Publishers, 1975.
Bending of equistrong beams and plates (with A.G. Tagizade), Mechanics of Deformable Solids, Kuibyshev University Press, 1975, N.1.
Environment effect on crack growth in metals — a Review (with G.G. Kuzmin), Protection of Metals, 1975, N.3.
On crack twinning (with V.D. Kuliev), Int. Journal of Fracture Mechanics, 1975, V.11, N.3.
Bending of plates and shells of uniform strength (with A.G. Tagizade), Letters in Applied and Engineering Science, 1975, N.2.
A self-similar problem of the dynamic theory of elasticity for a half-plane (with E.F. Afanasiev), Advances in Mechanics of Deformable Solids (A.A. Galerkin Centennial Anniversary Volume), Moscow, Nauka, 1975.
Extension of plates and shells of uniform strength (with A.G. Tagizade), Letters in Applied and Engineering Science, 1975, N.3.
A parabolic inclusion in an elastic plane, Proceedings of Moscow Mining Institute, 1975.
Equilibrium of a slope with a tectonic fault, Appl. Math. and Mech. (PMM), 1976, V.40, N.1.
An inverse problem of the theory of elasticity, Mechanics of Deformable Solids, Kuibyshev University Press, 1976, N.2.
Plastic slip lines at the end of a crack, Appl. Math. and Mech. (PMM), 1976, V.40, N.4.
Rheology from the cybernetical point of view, Proceedings of the 4th International Congress on Rheology, Stockholm, 1976.
On development of slip lines (with R.S. Kocharov), Strength of Materials, 1976, N.5.
On optimal design of some engineering materials (with V.M. Smolsky and A.G. Tagizade), Notices of the Armenian Academy of Sciences, 1976, V.29, N.3.
Discrete interaction of a plate with a half-infinite stringer (with L.S. Rybakov), Appl. Math. and Mech. (PMM), 1977, V.41, N.2.
Invariant Γ-integrals and some of their applications to mechanics, Appl. Math. and Mech. (PMM), 1977, V.41, N.3.
On computation of the panel thickness of maximum life time (with V.M. Smolsky), Aviation Engineering. Notices of High Schools, 1977, N.4.
On a crack-like defect in an elastic plane (with R.S. Kocharov and O.V. Sotkilava), Soviet Applied Mechanics, 1977, V.13, N.2.
On design of riveted panels (with L.S. Rybakov), Soviet Applied Mechanics, 1977, V.13, N.8.
On the strength theory of micro-inhomogeneous brittle bodies (with R.S. Kocharov and O.V. Sotkilava), Soviet Applied Mechanics, 1977, V.13, N.3.
Fracture mechanics of aligned composites (with Yu. N. Rabotnov), Proceedings of the Conference on Fracture Mechanics and Technology (G. Sih, Ed.), Leyden, Noordhoof International Publishers, 1977.
Development of slips in polycrystalline metals and seamy/cleaved rocks (with R.S. Kocharov), Strength of Materials, 1977, N.1.
The stability theory of rock slopes with tectonic faults (with V.D. Kuliev), Theoretical and Applied Mechanics, Sofia, Bulgarian Academy of Sciences, 1977.
A computation of the average life of a panel (with V.M. Smolsky), Mashinovedenie, 1978, N.6.
A plane problem of the theory of convective heat-transfer and mass-exchange (with A.A. Borzyh), Appl. Math. and Mech. (PMM), 1978, V.42, N.5.
The continuum theory of fluidization (with L.A. Galin and Yu. P. Gupalo), Mechanics of Multiphase Media in Technological Processes, Moscow, Nauka, 1978.
On optimal design of multi-layered panels (with V.M. Smolsky), Notices of the Armenian Academy of Sciences, 1978, V.31, N.3.
Fatigue life time of shafts (with V.D. Kuliev), Journal of Applied Mechanics and Technical Physics, 1978, N.6.
On the arrest of a crack impinging an interface of dissimilar elastic materials (with Yu. N. Rabotnov and V.D. Kuliev), Soviet Mechanics of Solids, 1978, N.4.
On a solution to the multi-criterion problem of optimal design of multi-layer plates (with V.M. Smolsky), Notices of the Armenian Academy of Sciences, 1979, V.32, N.1.
On initial growth of slip lines from the free boundary of a body (with V.D. Kuliev), Appl. Math. and Mech. (PMM), 1979, V.43, N.2.
Plates and shells of variable thickness (with V.D. Kuliev), Soviet Applied Mechanics, 1979, V.15, N.10.
SELECTED RESEARCH PAPERS (1980–1989) »»
On modeling of the earthquake focus (with A.S. Bykovtsev), Appl. Math. and Mech. (PMM), 1980, V.44, N.3.
On the theory of fracture of solids subjected to powerful pulse electron beams (with A.A. Borzyh), Appl. Math. and Mech. (PMM), 1980, V.44, N.6.
On the fracture theory of brittle materials acted upon by an explosion, Soviet Mechanics of Solids, 1980, N.2.
Collective relativistic interactions in electron beams (with A.A. Borzyh), Journal of Experimental and Theoretical Physics (Sov. Phys. JETP), 1980, V.78, N.1.
Fracture of solids by electron beams. Electron fracture mode (with A.A. Borzyh), Strength of Materials, 1980, N.8, pp. 16-24.
The limiting speed of the rectilinear propagation of a shear dislocational rupture (with A.S. Bykovtsev), Doklady of the Uzbek Academy of Sciences, 1980, N.3.
A model of tectonic earthquakes (with A.S. Bykovtsev), Doklady of the USSR Academy of Sciences, Geophysics, 1980, V.251, N.6.
A counterpart of the Griffith problem in the theory of dislocational ruptures (with A.S. Bykovtsev), Doklady of the Uzbek Academy of Sciences, 1981, N.1.
On steady motion of a dislocational rupture (with A.S. Bykovtsev), Doklady of the Uzbek Academy of Sciences, 1981, N.3.
Fluid filtration in curvilinear layers of variable thickness (with I.A. Amiraslanov), Appl. Math. and Mech. (PMM), 1981, V.46, N.6.
Invariant Γ-integrals, Int. Journal of Engineering Fracture Mechanics, 1981, V.14, N.1.
The theory of fatigue-corrosion wear of bits, Rock Fracture in Borehole Drilling, Ufa, Minnetteprom Press, 1982.
A two-phase rheological model of drilling fluids (with L.A. Amiraslanov), Rock Fracture in Drilling Processes, Moscow, Nedra, 1982.
Selection of bit nozzles (with A.V. Orlov, A.A. Panov et al.), Oil Economy, 1982, N.9.
Some new problems of the theory of filtration (with L.A. Amiraslanov), Journal of Applied Mechanics and Technical Physics, 1982, N.4.
Giant cracks on Earth's surface in Central Kizilkum (with A.S. Bykovtsev), Doklady of the USSR Academy of Sciences, Geophysics, 1982, V.261, N.3.
On stability of boreholes, Journal of Applied Mechanics and Technical Physics, 1982, N.2.
A contact problem of the theory of elasticity for a wedge (with L.A. Kipnis), Appl. Math. and Mech. (PMM), 1982, V.46, N.1.
On fracture of pipelines, Doklady of the USSR Academy of Sciences, Mechanics, 1983, V.272, N.3.
A model of the saw-shape fault in the solid shell of the Earth, Doklady of the USSR Academy of Sciences, Geophysics, 1983, V.269, N.4.
On the theory of the Cottrell-Bilby mechanism concerning the origin of cracks in metals (with L.A. Kipnis), Soviet Mechanics of Solids, 1983, N.3.
Fracture mechanics of laminate shells. The theory of delamination, Appl. Math. and Mech. (PMM), 1983, V.47, N.5.
On rational selection of a normal series of the nozzle cross-section diameter for hydromonitoring bits (with A.V. Orlov and A.A. Panov), Oil Economy, 1983, N.11.
On gigantic gaping cracks on Earth's surface (with A.S. Bykovtsev), Volcanology and Seismology, 1984, N.5.
Dynamic growth of curvilinear ruptures at variable speeds (with A.S. Bykovtsev), Advances in Fracture Research (Rama Rao, Ed.), Oxford, Pergamon Press, 1984.
Some geophysical problems of fracture mechanics (with A.S. Bykovtsev), Advances in Fracture Research (Rama Rao, Ed.), Oxford, Pergamon Press, 1984.
A mechanism of fault growth in the solid shell of the Earth, Physics of the Earth, 1984, N.9.
On the theory of polygonal fault formation on Earth's surface (with A.S. Bykovtsev), Doklady of the USSR Academy of Sciences, Geophysics, 1984, V.276, N.3.
A model of giant cracks in Central Kizilkum (with A.S. Bykovtsev and P.V. Ulomov), Physics of the Earth, 1984, N.5.
On the theory of one-dimensional unsteady transfer of heavy particles by a vertical fluid flux, Soviet Mechanics of Fluid and Gas, 1984, N.2.
Slip lines near the vertex of a wedge-shaped notch (with L.A. Kipnis), Appl. Math. and Mech. (PMM), 1984, V.48, N.1.
Extension of an elastic space having an isolated rigid round inclusion (with G.P. Nikishkov), Appl. Math. and Mech. (PMM), 1984, V.48, N.3.
Some problems of meeting, deviation and branching of slip lines (with L.A. Kipnis), Advances in Fracture Research (Rama Rao, Ed.), Oxford, Pergamon Press, 1984.
Point defects in solids, Deformation and Fracture of Solids (Jock Eshelby Memorial Volume), Cambridge University Press, 1984.
On the formation and growth of crack in solids by creep, Non-Linear Problems of Solid Mechanics (Yury Rabotnov Memorial Volume), Moscow, Nauka, 1984.
Bending elastic vibrations of a cylindrical wave-guide in a rock space (with J.S. Tavbaev), Soviet Mining Science, 1985, N.4.
On the opening-up of oil and gas boreholes, Doklady of the USSR Academy of Sciences, Mechanics, 1985, V.284, N.4.
On the post-critical deformation of solids, Strength of Materials, 1985, N.10.
On modeling of closed landslides (with A.S. Bykovtsev), Doklady of the Uzbek Academy of Sciences, 1985, N.2.
Stresses in a fiber embedded in a visco-elastic matrix (with A.G. Cherepanov), Soviet Applied Mechanics, 1985, V.22, N.2.
Configurational forces in solid mechanics, Appl. Math. and Mech. (PMM), 1985, V.49, N.4.
On a seismic model of underground explosions (with J.S. Tavbaev and V.M. Safrai), Boundary Value Problems and Their Applications, Cheboxary, Chuvash University Press, 1985.
The theory of rock cutting, Strength of Materials, 1986, N.8.
The universal index of the structural efficiency of a bit (with M.I. Vorozcov), Rock Fracture in Borehole Drilling, Ufa, Minnefteprom Press, 1986.
Motion of point defects in solids, Appl. Math. and Mech. (PMM), 1986, V.50, N.3.
A problem of cooling an isolated heat-generating bar by fluid flow (with A.A. Buxianidze), Boundary Value Problems and Their Applications, Cheboxary, Chuvash University Press, 1986.
The mathematical sociology of labor motion (with L.Ya. Cherepanov), Topical Problems of Continuum Mechanics, Cheboxary, Chuvash University Press, 1986.
Heat exchange between a rod and a medium for small Peclet numbers (with A.A. Buxianidze), Mechanics of Continuum, Tbilisi, Georgia Polytechnic Institute Press, 1986.
Thermal conductivity of a wall having thin cylindrical inclusions (with A.A. Buxianidze), Soviet Materials Science, 1986, V.22, N.4.
On the general theory of fracture, Soviet Materials Science, 1986, V.22, N.1.
New crack-tip models, Fracture Control of Engineering Structures (A. Bakker, Ed.), Delft, Engineering Materials Advisory Services Ltd., 1986.
On the theory of fatigue/corrosion wear and tear of metals (with A.G. Cherepanov), Soviet Materials Science, 1987, N.1.
On the cutting of rocks (with M.I. Vorozcov and R.M. Eigeles), Doklady of the USSR Academy of Sciences, Geophysics, 1987, V.299, N.3.
On the vibration of drilling columns (with J.S. Tavbaev), Notices of the Uzbek Academy of Sciences, 1987, N.1.
On the high-temperature cutting of rocks (with V.A. Pinsker), Soviet Mining Science, 1987, N.6.
A theoretical study of the wear of drilling bits (with A.G. Cherepanov and V.A. Pinsker), Proceedings of the Institute of Drilling Technology, 1987, N.63.
The mathematical theory of migration (with L.Ya. Cherepanov), Boundary Value Problems and Their Applications, Cheboxary, Chuvash University Press, 1987.
Fracture criteria for materials with defects (with L.N. Germanovich), J. of Appl. Math. and Mechanics, 1987, V.51, N.2, pp. 256-264.
Failure criteria and the Drucker postulate (with L.N. Germanovich), Transactions (Doklady of the USSR Academy of Sciences), Earth Science Section, 1987, V.294, N.3, pp. 32-35.
Fracture mechanics of protection coatings and films (with A.G. Cherepanov), Journal of Applied Mechanics and Technical Physics, 1988, N.4, pp. 130-140.
Creep cracks (with A.G. Cherepanov), Deformation and Fracture of Solids (V.V. Novozhilov Memorial Volume), Leningrad, Sudostroenie, 1987.
Current problems of fracture mechanics, Strength of Materials, 1987, N.8.
The initiation of microcracks and dislocations, Soviet Applied Mechanics, 1987, N.11.
On the theory of cutting solid materials using laser beam (with A.G. Cherepanov and V.A. Pinsker), Strength of Materials, 1988, N.11.
Microcracks growth under monotonous loading, Soviet Applied Mechanics, 1988, V.24, N.4.
The closure of a microcrack under unloading, and the formation of reverse dislocations, Soviet Applied Mechanics, 1988, V.24, N.7.
The formation of a crack due to the condensation of point holes (with A.G. Cherepanov), Soviet Material Science, 1988, N.1.
Divergence of invariant integrals, Soviet Mining Science, 1989, N.7.
High-temperature cutting of rocks: three-dimensional problems (with V.A. Pinsker), Soviet Mining Science, 1989, N.12.
On a possible consequence of underground nuclear tests (with V.I. Ilichev), Doklady of the USSR Academy of Sciences, Geophysics, 1991, pp. 1367-1371.
An informational/mathematical model of the motion of labor (with L.Ya. Cherepanov), Doklady of the USSR Academy of Sciences, Mathematics, 1989, V.295, N.3.
An application of one special theory of creep-plasticity to the computation of crack growth (with A.G. Cherepanov), Doklady of the USSR Academy of Sciences, Mechanics, 1989, V.306, N.4.
The kinetic theory of strength, and fracture mechanics, Strength of Materials, 1989, N.10.
The exfoliation of a coating due to the growth of a fatigue/corrosion crack (with A.G. Cherepanov), Doklady of the USSR Academy of Sciences, Mechanics, 1989, V.306, N.5.
SELECTED RESEARCH PAPERS (1990–1999) »»
On crack growth in metals under elevated temperatures (with A.G. Cherepanov), Journal of Applied Mechanics and Technical Physics, 1990, N.2.
A mechanism of the crack nucleation in amorphous metals (with A.G. Cherepanov), Physics of Metals and Physical Metallurgy, 1990, N.2.
On the foundation of fracture mechanics: fatigue and creep cracks in quantum fracture mechanics, Soviet Applied Mechanics, 1990, V.26, N.6.
Quantum fracture mechanics, Proceedings of the 7th International Conference on Fracture, Houston, 1990. Republished also in: Strength of Materials, 1990, N.3.
Invariant integrals in continuum mechanics, Soviet Applied Mechanics, 1990, V.26, N.7.
On computation of invariant integrals, Computational Methods in Fracture Mechanics (S. Atluri, Ed.), Moscow, MIR Publishers, 1990.
Cutting of rocks (with A.G. Cherepanov), Strength of Materials, 1990, N.6.
A mathematical model of rock cutting (with A.G. Cherepanov), Doklady of the USSR Academy of Sciences, Geophysics, 1991, V.314, p. 1167.
On the possible initiation of a strong earthquake by using an underground explosion (with V.I. Ilichev), Doklady of the USSR Academy of Sciences, Geophysics, 1992.
On the use of protective aircraft thermohelmets for achieving high supersonic speeds, Composites Engineering, 1993, V.3, N.4, pp. 321-327.
On motion in solids, Fiziko-Khimicheskaia Mekhanika Materialov, 1993, 29(3), pp. 98-101.
On superdeep penetration of rayleighons, Fiziko-Khimicheskaia Mekhanika Materialov, 1993, 29(4), pp. 114-117.
An employment of the catastrophe theory in fracture mechanics as applied to brittle strength criteria (with L.N. Germanovich), J. of the Mechanics and Physics of Solids, 1993, 41(10), pp. 1637-1649.
Brittle fracture of solids by intense electron beams (with A.A. Borzykh), Engineering Fracture Mechanics, 1993, 46(6), pp. 1059-1088.
Some novel approaches in mechanics of composites, Composite Materials and Structures (C.W. Bert, V. Birman and D. Hui, Eds.), ASME Press, New York, 1993, pp. 1-12.
Interface microcrack nucleation, J. of Mechanics and Physics of Solids, 1994, 42(4), pp. 665-680.
Theory of the electron fracture mode in solids (with A.A. Borzykh), J. Applied Physics, 1993, 74(12), pp. 7134-7153.
Super-deep penetration, Engineering Fracture Mechanics, 1994, 47(5), pp. 691-713.
An analysis of two models of superdeep penetration, Engineering Fracture Mechanics, 1996, 53(3), pp. 399-425.
On the theory of thermal stresses in a thin film on a ceramic substrate, J. Applied Physics, 1994, 75(2), pp. 844-849.
Zero drag of a thin wing moving in an elastic medium at the Rayleigh speed, J. of Applied Mechanics, 1994, 61(4), pp. 988-991.
Optimum shapes of elastic solids with infinite branches, J. Applied Mechanics, 1995, 62(2), pp. 419-423.
On scale effect in superdeep penetration, Scale-Size Effects in the Failure Mechanisms of Materials and Structures (A. Carpinteri, Ed.), E & FN Spon, 1996, pp. 555-564.
Rayleighons, Mechanics of Materials, 1994, 18, pp. 265-268.
Nanofracture mechanics approach to dislocation emission and fracturing, Applied Mechanics Reviews, 1994, 47(6), Part 2, pp. S326-S330.
Rock cutting: drag force theory (under revision), Int. J. of Numerical and Analytical Methods in Geomechanics.
Rock cutting: theory and experiment (under revision), Rock Mechanics and Rock Engineering.
Fractal fracture mechanics (with A.S. Balankin and V.S. Ivanova), Engineering Fracture Mechanics, 1995, 51(6), pp. 997-1035.
Weight versus strength: a case study, Composites Engineering, 1995, 5(10-11), pp. 1221-1229.
The problem of pullout (with I.E. Esparragoza), Materials Science and Engineering A203, 1995, pp. 332-342.
On the theory of thermal stresses in a thin bonding layer, J. Applied Physics, 1995, 78(11), pp. 6826-6832.
Dislocation generation and crack growth under monotonic loading (with A. Richter, V.E. Verijenko, S. Adali and V. Sutyrin), J. Applied Physics, 1995, 78(10), pp. 6249-6264.
On some general properties of strength criteria (with L.N. Germanovich), J. of Fracture, 1995, 71, pp. 37-56.
Mathematical model of totalitarian autocratic societies (under revision), Journal of Mathematical Sociology.
A computerized model for thermal stresses in thin films (with L. Martinez), Computers and Structures, 1997, 63(6), pp. 1095-1100.
Origin of joints in sedimentary rocks, Advances in Fracture Research (J. May and B.L. Karihaloo, Eds.), Elsevier Publ., 1997.
George Irwin in Russia, Fracture Research in Retrospect (P. Rossmanith, Ed.), Balkama Publ., 1997.
Macro-Super-Penetration, Mechanisms and Mechanics of Damage and Failure (J. deFouquet and J. Petit, Eds.), EMAS Publ., Warley, U.K., 1997.
Super-penetration, Int. J. Physicochemical Mechanics of Materials, 1996, 32(1), pp. 76-80.
Two-dimensional convective heat/mass transfer for low Prandtl and any Peclet numbers, SIAM Journal on Applied Mathematics, 1998, 58(3), pp. 942-960.
An interface crack between two different elastic-plastic solids (with I.E. Esparragoza), submitted to Int. J. of Plasticity.
Cable-pulley interaction with account of stick and slip zones (under preparation).
The problem of refraction and reflection of an impact stress wave in a cable on a pulley (under preparation).
The physical theory of damage (under preparation), J. Appl. Physics.
SELECTED RESEARCH PAPERS (2000–2008) »»
Porcha materialov. Problemy Mehaniki Deformiruemyh Tel i Gornyh Porod (red. A.U. Ishlinsky), Izd-vo Moskovskogo Gornogo Universiteta, str. 131-137, 2001 (with I.E. Esparragoza).
September 11 and fracture mechanics. Int. J. Fracture, 132(2), pp. L25-L26, 2005.
Mechanics of the WTC collapse. Int. J. Fracture, 141, pp. 287-289, 2006.
Equistrong tower. Int. J. Engineering and Automation Problems, v. 5, No. 1, pp. 100-103, 2006.
Mechanics of avalanches and the WTC collapse (with I.E. Esparragoza). Paper at the US National Congress on Theoretical and Applied Mechanics, June 2006, Colorado.
On the collapse of the World Trade Center in New-York on September 11, 2001. Izd-vo Nazionalnoi Akademii Nauk Armenii, 2006, pp. 279-296.
Progressive collapse of towers: the resistance effect. Int. J. Fracture, 143, pp. 203-206, 2007.
On self-sustaining fracture waves (with I.E. Esparragoza). Int. J. Fracture, 144, pp. 197-202, 2007.
Destruction mechanics: self-destruction (with I.E. Esparragoza). Int. J. Applied Mechanics and Engineering, v.12, no.2, pp. 565-570, 2007.
An entrainment model of snow avalanches (with I.E. Esparragoza). J. Glaciology, 54(184), pp. 182-189, 2008.
Progressive collapse of towers: the hybrid model (with I.E. Esparragoza). J. Appl. Mech. Eng., 12(3), pp. 575-585, 2008.
SELECTED RESEARCH PAPERS (2009–2021) »»
Научные сражения: Москва, 1960-е годы (Scientific Battles: Moscow, 1960s). Vestnik Samarskogo Gosudarstvennogo Universiteta, No. 2(68), 2009 (in Russian).
Theory of rolling: solution of the Coulomb problem. Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 55, Issue 1, 2014.
The contact problem of the mathematical theory of elasticity with stick and slip areas. Journal of Applied Mathematics and Mechanics, Vol. 79, Issue 1, 2015.
Equistrong heavy beam: Solving the problem of Galileo Galilei. Physical Mesomechanics, Vol. 19, Issue 1, 2016.
The large-scale universe: The past, the present and the future. Physical Mesomechanics, Vol. 19, Issue 4, 2016.
Optimum Shapes of Elastic Bodies: Equistrong Wings of Aircrafts and Equistrong Underground Tunnels. Physical Mesomechanics, Vol. 18, Issue 4, 2015.
Invariant integral: The earliest works and most recent application. Physical Mesomechanics, Vol. 20, Issue 2, 2017.
The Laws of Rolling. Physical Mesomechanics, Vol. 22, Issue 3, 2019.
Projectile impact onto a membrane. Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 62, Issue 5, 2021.
MAIN DIRECTIONS OF PUBLISHED RESEARCH IN FIU »»
1. Optimal Wing Design and Singular Integral Equations
Chapter 1 in Method of Discrete Vortices, CRC Press, New York, 1993.
2. Separated Flows
Chapter 2 in Two-Dimensional Separated Flows, CRC Press, New York, 1993.
3. Sintering
Chapter 4 in Methods of Fracture Mechanics: Solid Matter Physics, Kluwer, Amsterdam, 1996.
4. Super-Deep Penetration
Several papers in J. of Appl. Mech., Mech. of Materials, Engin. Fracture Mech. and other journals. Invited Lecture at the IUTAM Symposium in Italy, 1994.
5. Mechanics of Composites
Several papers in Composites Engineering, Materials Science and Engineering, and J. Appl. Phys. Invited paper at the 1993 ASME Winter Annual Meeting.
6. Theory of Catastrophes
Several papers in J. of the Mechanics and Physics of Solids, and J. of Fracture.
7. Fractal Mechanics
Chapter in Methods of Fracture Mechanics: Solid Matter Physics, and a paper in Eng. Fr. Mech.
8. Dislocation Emission
Several papers in J. Appl. Phys., Appl. Mech. Rev., and Chapter 8 in Methods of Fracture Mechanics: Solid Matter Physics. Invited paper at the U.S. National Congress of Applied Mechanics, Seattle, 1994.
9. Relativistic Electron Beams in a Solid
Papers in J. Appl. Phys. and Eng. Fr. Mech.
10. Optimum Design
Several papers in J. Appl. Mech. and Composites Engineering.
11. Thermal Stresses in a Thin Superconductive Film on a Substrate
Several papers in J. Applied Physics.
12. Nanoscale Fracture Mechanics
Several papers in J. Mech. and Phys. of Solids and J. Appl. Phys. Honor Lecture at the Congress on Metallurgy (Mexico, 1992) and Honor Lecture at the European Congress on Fracture in Paris (September, 1996).
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