A. M. LINKOV

Alexander M. Linkov

Leader Researcher


Address:

Institute of Problems of Mechanical Engineering
Russian Academy of Sciences
Laboratory of Strength and Reliability of Structures
V.O., Bolshoj pr., 61
St. Petersburg, 199178
RUSSIA
Phone : 7(812) 321-4774
Fax : 7(812) 321-4771
E-mail: link@mech.ipme.ru



Birth date & place:

January 10, 1940
Novokuznetsk, RUSSIA

Specialization:

(i) main field: solid, fracture, rock and computational mechanics;
(ii) other fields: fluid dynamics, integral equations;
(iii) current research interests: numerical methods for blocky and layered systems, instability, fracture acceleration, quantitative seismicity, hypersingular equations, asymptotics.

Education:

1963 - Master Sc.- Leningrad Mechanical Institute
1969 - Candidate (Phys. and Math.) - Leningrad State University
1977 - Doctor (Phys. and Math.) - Leningrad State University

Career/Employment:

1993 - present - Institute for Problems of Mechanical Engineering (Russian Academy of Science); Chief Scientist; part-time job: All-Russian Institute for Mine Geomechanics and Surveying (VNIMI); Chief Scientist
1996-97 Invited Researcher; CSIR, South Africa
1994 spring term - University of Minnesota (USA); Visiting Professor
1992 winter term - University of Minnesota (USA); Visiting Professor of MTS
1984 - 1993 - St.-Petersburg State Academy for Engineering Economics; Professor and Head of the Mathematical Department
1968 - 1984 - All-Union Institute for Mine Geomechanics and Surveying (VNIMI); Head of the Theoretical Group for Dynamic Phenomena in Mines

Honors, Awards, Fellowships, Membership of Professional Societies:

Silver Medal - Leningrad secondary school No 155; 1957
Cum laude - Leningrad State Mechanical Institute; 1963
Prizes and Diplomas - Sci. and Tech. Soc.; Leningrad, 1975 - 1982
Discovery No 337 - USSR; 1988
MTS Visiting Professor - University of Minnesota; 1992
International Schlumberger Award for Fundamental Researches in Rock Mechanics - International Society for Rock Mechanics; 1994
Visiting Professor - University of Minnesota; 1994

Grant of International Science Foundation; 1994
Grant of Russian Fund of Fundamental Researches; 1994-1996
Russian State Stipend for Outstanding Scientists; 1995 - 1996
Key-Note Address to the 8-th International Congress on Rock Mechanics; 1995 (Tokyo)
Key-Note Address to the 1-st Australasian Congress on Applied Mechanics; 1996 (Melbourne)
Grant of Russian Fund of Fundamental Researches; 1997-present
Russian State Stipend for Outstanding Scientists; 1997 - present
Key-Note Address to the 4-th Int. Symposium on Rockbursts and Seismicity in Mines; 1997 (Krakow)
F. of St.-Petersburg State Marine University
F. of State Institute for Architecture and Building

M. of St.-Petersburg Scientific Society (Russian Academy of Sciences)
M. of the Counsel on Geodynamics (Russian Academy of Sciences)
Active Member of the New York Academy of Sciences

Publications: Number of papers in journals - 226; books 8
Number of communications to scientific meetings: 165


Main Publications:

1. Linkov A.M. Abutment pressure in flat seams.- Candidate Degree Diss., Dept. of Math. and Mech., Leningrad State University, 1969. 120 p.

2. Linkov A.M.On application of the associated law to rocks.- Proc. All- Union Institute for Rock Mech. and Surveying, 1970, N 74, p.441- 450.

3. Linkov A.M. Plastic deformation of a disk welded to a plane.- Notes Acad. Sci. USSR. Mech. of Solids, 1972, N 4, p.168-170 (in Russian; translated into English in "Solid Mechanics").

4. Petukhov I.M., Linkov A.M. et al. Defensive Seams.- Leningrad, Nedra Publising House, 1972, 424p. (in Russian).

5. Linkov A.M. A comment on calculations of strength under compression.- Notes Acad. Sci. USSR. Mech. of Solids, 1972, N 4,p.168-170 (in Russian; translated into English in "Solid Mechanics").

6. Linkov A.M. On conditions of finite stresses in the elasticity theory.- Proc. Acad. Sci. USSR, 1972, v.207, N 2, p.319-320 (in Russian; translated into English in "Soviet Physics. Doklady").

7. Linkov A.M. Integral equations of elasticity for a plane with slits loaded by equilibrated forces.- Proc. Acad.Sci.USSR, 1974, v.218, p.1294-1297 (in Russian; translated into English in "Soviet Physics. Doklady").

8. Amusin B.Z., Linkov A.M. On applying variable modulus for one class of viscoelastic problems.- Notes Acad. Sci. USSR. Mech. of Solids, 1974, N6, p.162-166 (in Russian; translated into English in "Solid Mechanics").

9. Linkov A.M.,Orlov A.A.Plane deformation of a thin plastic layer. - Notes Acad. Sci.USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1974, N1, p.16-22 (in Russian; translated into English in "Soviet Mining Science").

10.Linkov A.M.,Novozhilov V.V.To the question on the theory of crack growth.- In: "Strength of Materials and Constructions. S.V.Serensen Memorial Volume". Kiev, Naukova Dumka, 1975, p.357-363 (in Russian).

11.Linkov A.M. Effective methods to solve the problem of abutment pressure.- Notes Acad. Sci. USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1975, N6, p.3-10 (in Russian;translated into English in "Soviet Mining Science").

12.Linkov A.M., Merkulov V.A. Bending problems for plates with cracks.- Notes Acad. Sci. USSR. Mech. of Solids, 975, N 1, p.111-119 (in Russian; translated into English in "Solid Mechanics").

13.Linkov A.M., Novogilov V.V. Extremum principles for infinite regions.- In: "Advances of Solid Mech. B.G.Galerkin Memorial Volume". Moscow, Nauka, 1975, p.350-354 (in Russian).

14.Linkov A.M. On one equation in plane elasticity. - Notes Acad. Sci. USSR. Mech.of Solids, 1975, N6, p.82-85 (in Russian; trans lated into English in "Solid Mechanics").

15.Linkov A.M.Effective methods to solve abutment pressure problem. - Notes Acad. Sci. USSR. Fizico-Tekhnicheskie problemy Razrabotki Poleznikh Iskopaemikh,1975, N6, p.3-10 (in Russian;translated into English in "Soviet Mining Science").

16.Petukhov I.M., Linkov A.M.et al. The theory of Protective Seams.- Moscow, Nedra Publ. House,1976.224p.(in Russian).

17.Linkov A.A. An integral equation for a plane elasticity problem of double-periodic crack system loaded with equilibrated tractions.- Notes Acad. Sci. USSR. Mech. of Solids, 1976, N2, p.70-74 (in Russian; translated into English in "Solid Mechanics").

18.Linkov A.M.On stability conditions in fracture mechanics.- Proc. Acad. Sci.USSR, 1977, v.233, N 1, p.45-48 (in Russian;translated into English in"Soviet Physics. Doklady").

19.Linkov A.M. Deformations beyond the limit in plane problem of a circular working.- Notes Acad. Sci. USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1977, N5, p.16-22 (in Russian; translated into English in "Soviet Mining Science").

20.Linkov A.M. Some problems of fracture mechanics (with applications to geomechanics).- Doctor Degree Diss., Leningrad State University, 1977, 321p. (in Russian).

21.Linkov A.M.On determination of the abutment pressure and evaluation of the stability of seam edges and pillars with allowance for post-failure deformations. - Notes Acad. Sci.USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1977, N5, p.16-22 (in Russian; translated into English in "Soviet Mining Science").

22.Petukhov I.M.,Linkov A.M.The theory of post-failure deformations and the problem of stability in rock mechanics.-Int.J.Rock Mech. Mining Sci. & Geomech. Abstr., 1979, v.16, N 2, p.57-76.

23.Linkov A.M. The influence of layers and blocks interaction on stability of equilibrium state.-Proc. of All-Union Institute for Rock Mech. and Surveying, 1980, p.65-67 (in Russian).

24.Petukhov I.M., Linkov A.M. On solutions of discretized problems with allowance for softening and destressing.- Notes Acad. Sci. USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1981, N 3, p.26-33 (in Russian; translated into English in "Soviet Mining Science").

25.Linkov A.M. Stability and stress state of elastic blocks.- Proc. of All-Union Institute for Rock Mech. and Surveying, 1981, p.8-11 (in Russian).

26.Linkov A.M. Stability of rocks.- Notes Acad. Sci. USSR. Fizico- Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh,1981,N3, p.26-33 (in Russian; translated into English in "Soviet Mining Science").

27.Petukhov I.M., Linkov A.M. et al. Stress state of rocks near openings of arbitrary shape in plane.- Notes Acad. Sci. USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1982, N5, p.3-8 (in Russian; translated into English in "Soviet Mining Science").

28.Gurich A.A., Koshelev V.F., Linkov A.A. To the theory of stress measurement by means of hole detectors.- Notes Acad. Sci.USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh,1982, N 3, p.85-89 (in Russian; translated into English in "Soviet Mining Science").

29.Petukhov I.M.,Linkov A.M. Mechanics of Rockbursts and Outbursts. - Moscow, Nedra Publishing House, 1983, 280p. (in Russian).

30.Linkov A.M. Plane problems for static loading of piece-wise homogeneous linear-elastic media.- Notes Acad. Sci. USSR. Applied Math. Mech., 1983, v.47, N 1, p.644-651 (in Russian; translated into English in "Applied Math. and Mech.").

31.Petukhov I.M., Linkov A.M. Theoretical principles and fundamentals of rock burst prediction and control.- Proc. 5-th Int. Congress Rock Mech., Melbourne, 1983, p.113-120.

32.Linkov A.A. The problem of stability with allowance for softening.- "Proc. Armenian Acad. of Science.Mechanics", 1983, v.36, N1, c.56-71 (in Russian).

33.Linkov A.A. Stability of rocks.- Notes Acad. Sci. USSR. Fizico- Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh,1983,N6, p.3-7 (in Russian; translated into English in "Soviet Mining Science").

34.Linkov A.A. Accounting for rock burst hasard when designing supports.- Notes Acad. Sci.USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1984, N1, p.7-15 (in Russian; translated into English in "Soviet Mining Science").

35.Linkov A.A., Petukhov I.M.,Tleujanov M.A. New methods for compu ting ore pillars.- Notes Acad. Sci. USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1984, N3, p.13-28 (in Russian; translated into English in "Soviet Mining Science").

36.Linkov A.M., Lodus E.V., Petukhov I.M. The influence of the indentation velocity on deformation character.- Notes Acad. Sci. USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1985, N 1, p.34-42 (in Russian; translated into English in "Soviet Mining Science").

37.Linkov A.M., Mogilevskaya S.G. Finite-part integrals in problems of three-dimensional cracks.-Notes Acad. Sci.USSR. Applied Math. Mech., 1986, v.50, N 5, p.841-850 (in Russian; translated into English in "Applied Math. and Mech.").

38.Zubkov V.V., Linkov A.M. et al. Calculation of stress state in rock massif around seam excavations of arbitrary space form.- Notes Acad. Sci. USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1986, N3, p.24-32 (in Russian; translated into English in "Soviet Mining Science").

39.Linkov A.A.On basics and development of boundary element method (Addition to Russian edition of the monograph by S.Crouch and A.Starfield "Boundary Element Method in Solid Mechanics").- Moscow, Mir Publishing House, 1986, p.265-279 (in Russian).

40.Zubkov V.V., Linkov A.M. Boundary integral equations of fluid flow, electrical and heat conduction in a medium composed of blocks.- Notes Acad. Sci. USSR. Mechanics of Liquids and Gases, 1986,N 6, p.72-78 (in Russian; translated into English in "Fluid Mechanics").

41.Komarov V.O., Linkov A.M. FEM form for solution of contact problems.- In: "Problems of Mechanics of Building Constructions and Materials", Leningrad, ed. by Leningrad Engineering and Building Inst., 1987, p.60-65 (in Russian).

42.Linkov A.M. Stability of inelastic, geometrically nonlinear,discrete systems.- Proc. Acad. Sci.USSR, 1987, v.294, N 1, p. 44-47 (in Russian; translated into English in "Soviet Physics. Doklady").

43.Linkov A.M.,Khodyrev E.D. On sources of hereditary type in transsfer problems.- Proc. Acad. Sci.USSR, 1988,v.302, N 2, p.280-283 (in Russian; translated into English in "Soviet Physics. Doklady").

44.Linkov A.M., Tuetinas V.V. On computation of beams with cross cracks.- In: "Problems of Mechanics of Building Constructions and Materials", Leningrad, ed. by Leningrad Engineering and Building Inst., 1988, p.119-124 (in Russian).

45.Linkov A.M. On the stability under softening in time.- Notes Acad. Sci.USSR. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1989, N1, p.12-22 (in Russian; translated into English in "Soviet Mining Science").

46.Linkov A.M., Khodyrev E.D. Model of flow through porous media with sources of hereditary type.- Notes Acad. Sci. USSR. Mechanics of Liquids and Gases, 1989, N3, p.174-177(in Russian; translated into English in "Fluid Mechanics").

47.Linkov A.M., Filippov N.A.,Fot K.K. On solution of problems for layered media by means of Fourier series.- In: "Problems of Mechanics of Building Constructions and Materials", Leningrad, ed. by Leningrad Engineering and Building Inst., 1989, p.42-46 (in Russian).

48.Linkov A.M.,Tleujanov M.A. On calculation of local zones of ir reversible deformation.- Notes Acad.Sci.Kirghizia SSR. Ser.Phys. Techn. Sci., 1990, N1, p.47-51 (in Russian).

49.Linkov A.M.,Mogilevskaya S.G. Hypersingular integrals in plane problems of elasticity.- Notes Acad. Sci. USSR. Applied Math. Mech., 1990, v.54, N 1, p.116-122 (in Russian; translated into English in "Applied Math. and Mech.").

50.Blinova V.G.,Linkov A.M.On energy relations in nonlinear crack problem.-In:"Researches on elasticity and plasticity",Leningrad, Leningrad State Univ. edn., 1990, 16, p.28-32 (in Russian).

51.Blinova A.M., Linkov A.M. Stress computation in a thin layer in front of a crack.- "Problems of Mechanics of Building Constructions and Materials", Leningrad, ed. by Leningrad Engineering and Building Inst., 1989, p.42-46 (in Russian).

52.Linkov A.M. A boundary integral equation with complex hypersingular integral for plane elasticity problem.- In: "Problems of Mechanics and Control Processes. V.V.Novogilov Memorial Volume". Leningrad,Leningrad State Univ.edn.,1990,p.103-107 (in Russian).

53.Linkov A.M. Asymptotic relations, fracture acceleration and subcritical crack growth under creep.- Proc. Acad. Sci. USSR, 1991, v.319, N3, p.280-283 (in Russian; translated into English in "Soviet Physics. Doklady").

54.Linkov A.M.,Mogilevskaya S.G.Complex hypersingular integrals and equations of plane elasticity problem.- "Problems of Mechanics of Building Constructions and Materials", Leningrad, ed. by Leningrad Engineering and Building Inst., 1991, p.17-34 (in Russian).

55.Linkov A.M., Filippov N.A. Difference equations approach to the analysis of layered systems.- "Meccanica", v.26, p.195-209.

56.Linkov A.M., Zubkov V.V. Boundary integral equations in problems for jointed rocks.- In: "Computer Methods and Advances in Geomechanics. Proc. 7-th Intern. Conference on Computer Methods and Advances in Geomechanics". Eds.G.Beer, J.R.Booker & J.P.Carter. Rotterdam, A.A.Balkema, 1991, p.1747-1750.

57.Blinova V.G., Linkov A.M. A method to find asymptotics near a common vertice of wedges.-"Notes of Saint-Petersburg University" Ser.1, 1992, v.2, N8, p.69-72 (in Russian).

58.Linkov A.M. Dynamic Phenomena in Mines and the Problem of Stability (notes from a course of lectures presented by Dr. Linkov in 1992 as MTS Visiting Professor of Geomechanics at the University of Minnesota).- Ed.by MTS System Corporation, Minneapolis, 1992, 133p.

59. Llinkov A. M., Pronin L.N. Fracture acceleration under creep described by -kernels. In: " Researches in Mech. of building constractions ans materials" V. P. Il'in ed., St-Petersburg Inst. for Eng. and Building, 1993, p. 27-31.

60.Linkov A. M. Dynamic Phenomena in Mines and the Problem of Stability. Int. Soc. Rock Meck., Lisboa, Cedex, Portugal, 1994. 133 p.

61. Linkov A. M. Boundary value problem for crack grawth in viscoelastic media. Int. J. Fracture, 1994, v. 65, p. 197-218.

62. Linkov A. M., Mogilevskaya S. G. Complex hypersingular integrals and integral equations in plane elasticity. Acta Mechanica, 1994, v. 105, p. 189-205.

63. Linkov A. M., Linkova A. A., Savitski A. A. An effective method for multi-layered media with cracks and cavities. Int. J. Damage Mech., 1994, v. 3, No 4, p. 338-356.

64. Linkov A. M., Zoubkov V. V., Mogilevskaya S. G. Complex Integral Equations: an Efficient Means to Solve Plane Problems. Preprint No 118, Inst. for Problems of Mech. Engng., St-Petersburg, 1994. 48 p.

65. Linkov A. M. Time - the forgotten dimension. ISRM News Journal, 1995, v. 2, No 2-3, p. 58-59.

66. Blinova V. G., Linkov A. M. A method to find asymptotic forms at the common apex of elastic wedges. J. Appl. Math. Mech., 1995, v. 59, No 2, p. 187-195.

67. Linkov A. M., Mogilevskaya S. G. On the theory of complex hypersingular equations. Proc. Int. Conf. "Computational Engineering Science. Springer-Verlag, Berlin-New York, 1995, v. 2, 2836-2840.

68. Linkov A. M. Key-note address: Equilibrium and stability of rock masses. Proc. 8-th Int. Congress on Rock Mechanics. A. A. Balkema, Rotterdam, 1995, v. 3, 1049-1054.

69. Koshelev V. F., Linkov a. M. On arising of fraacture acceleration and critical velocity when mining at a pillar. Notes of Russian Acad. Sci. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1995, N4, p.25-42 (in Russian; translated into English in "Russian Mining Science").

70. Linkov A. M. On a method to solve problems for sub-surface cracks. In: " Researches in Mech. of Building Constractions ans Materials", V. P. Il'in ed., St-Petersburg Inst. for Eng. and Building, 1995, p. 78-85 (in Russian).

71. Belov E. B., Linkov A. M. On instability conditions under softaning on interacting crack surfaces. Ibid. cit., 86-92 (in Russian)

72. Linkov A. M. Real and complex hypersingular integrals and intergral equations in computational mechanics, Demonstratio Mathematica,1995, v. XXVIII, No 4, 759-769.

73. Boundary value problem for a crack in a visco-elastic medium. In: "Fracture Mechanics. Theory and Experiment". Publ. of The St-Petersburg State University, 17, 1997, 75-82.

74. Linkov A. M. Key-note address: Computational mechanics in Russia; subject and problems. Proc. 1st Australasian Congress on Applied Mechanics, ACAM-96, 1996, v. 1, 17-19.

75. Linkov A. M. Fracture acceleration under creep. Ibid. cit., 187-190.

76. Koshelev. V. F., Linkov A. M. Creep induced effects in strain softening pillars. Ibid cit., v. 2, 955-959.

77. Linkov A. M. Novel in numerical modeling of geomechanical problems: accounting for a blocky structure and time factor. Proc. Int. Conf. "Effective and Safe Coal Mining on the Basis of Modern Achievements in Geomechanics", VNIMI, St-Petersburg, 1996, 60-64 (in Russian).

78. Linkov A. M., Mishuris G. S. Comparative study of stresses near crack tip for layered and homogeneous models of composite. Int. J. Damage Mechanics, 1996, v. 5, 171-189.

79. M. Al Heib, J. P. Piguet, J. F. Noirel, J. P. Josien, A. Linkov La Planification des Travaux Miniers Assistee par des Modeles Previsionnels des Etats de Contraintes dans les Massifs des sols et des Roches Appliquee. Proc. 11eme Colloque Frnco-Polonais en Mechanique des Sols et des Roches Appliquee. Katowice, 1996, 192-201.

80. Linkov A. M. Rockbursts and instability of rock masses. Int. J. Rock Mech. Mining Sci. & Geomech. Abstr., 1996, 33, 727-732.

81. Belov E. B., Linkov A. M. On fracture acceleration on interacting surfaces of a crack. In: Mathematical Modeling, Numerical Methods and Packages of Programs", B. G. Vager ed., St-Petersburg Inst. for Eng. and Building, 1996, p. 103-111 (in Russian).

82. Linkov A. M. New geomechanical approaches to develop quantitative seismicity. Proc. 4-th Int. Symp. "Rockbursts and Seismicity in Mines", 1997 (accepted for publication).

83. Linkov A. M., Mogilevskaya S. G., Napier J. A. L. Multiple interacting curvilinear crack problems: a method of solution and numerical results. Proc. NYROCKS'97, K. Kim ed. Int. J. Rock Mech. Mining Soc.,1997, CD-ROM, 218.

84. Linkov A. M., Zoubkov V. V., Haib M. A. Computer aided analysis of stresses state and rockburst hazard in veins and coal seams influenced by faults. Proc. SARES-97, Johannesburg, 1997.

85. Linkov A. M., Zoubkov V. V., Heib A. M. A method to solve 3D problems for seam or reaf mining influenced by geological faults. Notes of Russian Acad. Sci. Fizico-Tekhnicheskie Problemy Razrabotki Poleznikh Iskopaemikh, 1997, N4, p. 3-18 (in Russian; to be translated into English in "Russian Mining Science").

86. Mogilevskaya S. G., Linkov A. M. Complex fundamental solutions and complex variables boundary method in elasticity. Proc. IABEM Worshop: Tudamental Solutions in Boundary Elements. Formulation and Integration. F. G. Benitez ed., University of Seville, Spain, 1997, 71-81.

87. Linkov A. M. Keynote lecture: New geomechanical approaches to develop quantitative seismicity. Proc. 4-th Int. Symp. on Rockbursts and Seismicity in Mines, S. J. Gibowicz, S. Lasoski eds., A. A. Balkema, Rotterdam, Brookfield, 1997, 151-166.