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Volumn 33, Issue 10, 1997, Pages 763-787

Exact analytic solutions of three-dimensional boundary-value problems of the statics of a transversely isotropic body of canonical form (survey)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CRACKS; ELASTICITY; PROBLEM SOLVING; STRAIN; STRESS CONCENTRATION; STRESSES; THREE DIMENSIONAL;

EID: 0002279114     PISSN: 10637095     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02719255     Document Type: Review
Times cited : (10)

References (110)
  • 2
    • 0041186098 scopus 로고
    • Certain relations between solutions of two-dimensional and axisymmetric problems of the theory of elasticity and the solution of axisymmetric problems by means of analytic functions
    • A. Ya. Aleksandrov, "Certain relations between solutions of two-dimensional and axisymmetric problems of the theory of elasticity and the solution of axisymmetric problems by means of analytic functions," Dokl. Akad. Nauk SSSR Ser. A, 129, No. 4, 754-757 (1959).
    • (1959) Dokl. Akad. Nauk SSSR Ser. A , vol.129 , Issue.4 , pp. 754-757
    • Aleksandrov, A.Ya.1
  • 3
    • 0039998882 scopus 로고
    • Solution of axisymmetric problems of the theory of elasticity by means of analytic functions
    • A. Ya. Aleksandrov, "Solution of axisymmetric problems of the theory of elasticity by means of analytic functions," Dokl. Akad. Nauk SSSR Ser. A, 139, No. 2, 337-340 (1961).
    • (1961) Dokl. Akad. Nauk SSSR Ser. A , vol.139 , Issue.2 , pp. 337-340
    • Aleksandrov, A.Ya.1
  • 4
    • 0041186097 scopus 로고
    • Solution of three-dimensional problems of the theory of elasticity for solids of revolution by means of analytic and generalized analytic functions
    • A. Ya. Aleksandrov, "Solution of three-dimensional problems of the theory of elasticity for solids of revolution by means of analytic and generalized analytic functions," Tr. Novosib. Inst. Inzh. Zheleznodorozhn. Transp., 96, 5-35 (1970).
    • (1970) Tr. Novosib. Inst. Inzh. Zheleznodorozhn. Transp. , vol.96 , pp. 5-35
    • Aleksandrov, A.Ya.1
  • 5
    • 0002139626 scopus 로고
    • Solution of three-dimensional problems of the theory of elasticity for a transversely isotropic solid of revolution by means of analytic functions
    • A. Ya. Aleksandrov and V. S. Vol'pert, "Solution of three-dimensional problems of the theory of elasticity for a transversely isotropic solid of revolution by means of analytic functions," Izv. Akad. Nauk SSSR Mekh. Tverd. Tela, No. 5, 82-91 (1967).
    • (1967) Izv. Akad. Nauk SSSR Mekh. Tverd. Tela , Issue.5 , pp. 82-91
    • Aleksandrov, A.Ya.1    Vol'pert, V.S.2
  • 6
    • 0040592009 scopus 로고
    • Solution of three-dimensional axisymmetric problems of the theory of elasticity by means of functions of a complex variable and the solution of these problems for a sphere
    • A. Ya. Aleksandrov and Yu. I. Solov'ev, "Solution of three-dimensional axisymmetric problems of the theory of elasticity by means of functions of a complex variable and the solution of these problems for a sphere," Prikl. Mat. Mekh., 26, No. 1, 138-145 (1962).
    • (1962) Prikl. Mat. Mekh. , vol.26 , Issue.1 , pp. 138-145
    • Aleksandrov, A.Ya.1    Solov'ev, Yu.I.2
  • 8
    • 0039406784 scopus 로고
    • Application of the theory of functions of a complex variable to three-dimensional problems of the mathematical theory of elasticity
    • I. S. Arzhanykh and B. A. Bondarenko, "Application of the theory of functions of a complex variable to three-dimensional problems of the mathematical theory of elasticity," Tr. Inst. Mat. An Uzb. SSR, 23, 35-52 (1961).
    • (1961) Tr. Inst. Mat. An Uzb. SSR , vol.23 , pp. 35-52
    • Arzhanykh, I.S.1    Bondarenko, B.A.2
  • 9
    • 0002093611 scopus 로고
    • Solution of fundamental problems of the theory of elasticity for a transversely isotropic paraboloid and a two-cavity hyperboloid of revolution
    • V. S. Vol'pert, "Solution of fundamental problems of the theory of elasticity for a transversely isotropic paraboloid and a two-cavity hyperboloid of revolution," Tr. Novosib. Inst. Inzh. Zheleznodorozhn. Transp., 96, 158-165 (1970).
    • (1970) Tr. Novosib. Inst. Inzh. Zheleznodorozhn. Transp. , vol.96 , pp. 158-165
    • Vol'pert, V.S.1
  • 13
    • 0002855258 scopus 로고
    • Method of solving three-dimensional problems of solid mechanics for noncanonical regions
    • A. N. Guz', "Method of solving three-dimensional problems of solid mechanics for noncanonical regions," Dopov. Akad. Nauk Ukr. RSR Ser. A, No. 4, 352-355 (1970).
    • (1970) Dopov. Akad. Nauk Ukr. RSR Ser. A , Issue.4 , pp. 352-355
    • Guz', A.N.1
  • 17
    • 0040592011 scopus 로고
    • Fundamental mixed axisymmetric problem for an elastic two-cavity hyperboloid of revolution
    • A. A. Kapshivnii and N. N. Stoyan, "Fundamental mixed axisymmetric problem for an elastic two-cavity hyperboloid of revolution," Dokl. AN SSSR, Ser. A, No. 11, 1005-1011 (1977).
    • (1977) Dokl. AN SSSR, Ser. A , Issue.11 , pp. 1005-1011
    • Kapshivnii, A.A.1    Stoyan, N.N.2
  • 18
    • 0000068937 scopus 로고
    • Three-dimensional stress distribution near an elliptical crack under arbitrary loads
    • M. Kassir and J. Sih, "Three-dimensional stress distribution near an elliptical crack under arbitrary loads," Trans. ASME Ser. E, 33, No. 3, 141-152 (1966).
    • (1966) Trans. ASME Ser. E , vol.33 , Issue.3 , pp. 141-152
    • Kassir, M.1    Sih, J.2
  • 19
    • 0040350687 scopus 로고
    • Approximate method of solving three-dimensional problems of the theory of elasticity and viscoelasticity
    • A. D. Kovalenko and V. G. Karnaukhov, "Approximate method of solving three-dimensional problems of the theory of elasticity and viscoelasticity," Prikl. Mekh., 5, No. 8, 1-10 (1969).
    • (1969) Prikl. Mekh. , vol.5 , Issue.8 , pp. 1-10
    • Kovalenko, A.D.1    Karnaukhov, V.G.2
  • 25
    • 0014280393 scopus 로고
    • Expansion of an arbitrary function into an integral in associated spherical functions
    • N. N. Lebedev and I. P. Skal'skaya, "Expansion of an arbitrary function into an integral in associated spherical functions," Prikl. Mat. Mekh., 32, No. 3, 421-427 (1968).
    • (1968) Prikl. Mat. Mekh. , vol.32 , Issue.3 , pp. 421-427
    • Lebedev, N.N.1    Skal'skaya, I.P.2
  • 34
    • 0002595829 scopus 로고
    • Approximate method of solving three-dimensional problems of the theory of elasticity for a transversely isotropic medium
    • Yu. N. Nemish, "Approximate method of solving three-dimensional problems of the theory of elasticity for a transversely isotropic medium," Prikl. Mekh., 5, No. 8, 26-34 (1969).
    • (1969) Prikl. Mekh. , vol.5 , Issue.8 , pp. 26-34
    • Nemish, Yu.N.1
  • 36
    • 0016450889 scopus 로고
    • Boundary perturbation method in three-dimensional problems of the mechanics of deformable media
    • Yu. N. Nemish, "Boundary perturbation method in three-dimensional problems of the mechanics of deformable media," Izv. Akad. Nauk SSSR Mekh. Tverd. Tela, No. 1, 17-26 (1975).
    • (1975) Izv. Akad. Nauk SSSR Mekh. Tverd. Tela , Issue.1 , pp. 17-26
    • Nemish, Yu.N.1
  • 37
    • 0002319142 scopus 로고
    • Approximate method of solving three-dimensional problems of the theory of elasticity of curvilinear orthotropic bodies for noncanonical regions
    • Yu. N. Nemish, "Approximate method of solving three-dimensional problems of the theory of elasticity of curvilinear orthotropic bodies for noncanonical regions," Prikl. Mekh., 14, No. 7, 10-17 (1978).
    • (1978) Prikl. Mekh. , vol.14 , Issue.7 , pp. 10-17
    • Nemish, Yu.N.1
  • 40
    • 0039998877 scopus 로고
    • Solution of three-dimensional problems of the theory of elasticity by means of transforms
    • A. G. Nikolaev and V. S. Protsenko, "Solution of three-dimensional problems of the theory of elasticity by means of transforms," Prikl. Mekh., 22, No. 7, 83-89 (1986).
    • (1986) Prikl. Mekh. , vol.22 , Issue.7 , pp. 83-89
    • Nikolaev, A.G.1    Protsenko, V.S.2
  • 41
    • 0007222995 scopus 로고
    • First and second fundamental axisymmetric problems of the theory of elasticity for doubly connected regions bounded by the surfaces of a sphere and a spheroid
    • A. G. Nikolaev and V. S. Protsenko, "First and second fundamental axisymmetric problems of the theory of elasticity for doubly connected regions bounded by the surfaces of a sphere and a spheroid," Prikl. Mat. Mekh., 54, No. 1, 65-74 (1990).
    • (1990) Prikl. Mat. Mekh. , vol.54 , Issue.1 , pp. 65-74
    • Nikolaev, A.G.1    Protsenko, V.S.2
  • 44
    • 0039998876 scopus 로고
    • Elastic deformation of a transversely isotropic parabolic cylinder
    • Yu. N. Podil'chuk, "Elastic deformation of a transversely isotropic parabolic cylinder," Prikl. Mekh., 16, No. 10, 2-9 (1980).
    • (1980) Prikl. Mekh. , vol.16 , Issue.10 , pp. 2-9
    • Podil'chuk, Yu.N.1
  • 45
    • 0041186087 scopus 로고
    • Elastic deformation of a transversely isotropic one-cavity hyperboloid of revolution
    • Yu. N. Podil'chuk, "Elastic deformation of a transversely isotropic one-cavity hyperboloid of revolution," Prikl. Mekh., 16, No. 12, 15-20 (1980).
    • (1980) Prikl. Mekh. , vol.16 , Issue.12 , pp. 15-20
    • Podil'chuk, Yu.N.1
  • 47
    • 0041186090 scopus 로고
    • Elastic deformation of a transversely isotropic two-cavity hyperboloid of revolution
    • Yu. N. Podil'chuk, "Elastic deformation of a transversely isotropic two-cavity hyperboloid of revolution," Prikl. Mekh., 20, No. 1, 13-21 (1984).
    • (1984) Prikl. Mekh. , vol.20 , Issue.1 , pp. 13-21
    • Podil'chuk, Yu.N.1
  • 48
    • 0041186091 scopus 로고
    • First and second fundamental boundary-value problems of the theory of elasticity for a transversely isotropic parabolic cylinder
    • Yu. N. Podil'chuk, "First and second fundamental boundary-value problems of the theory of elasticity for a transversely isotropic parabolic cylinder," Mat. Fizika i Nelineinaya Mekhanika, No. 3, 78-84 (1985).
    • (1985) Mat. Fizika I Nelineinaya Mekhanika , Issue.3 , pp. 78-84
    • Podil'chuk, Yu.N.1
  • 49
    • 0040591998 scopus 로고
    • Elastic deformation of a transversely isotropic hyperboloid of revolution
    • Yu. N. Podil'chuk, "Elastic deformation of a transversely isotropic hyperboloid of revolution," Prikl. Mekh., 25, No. 2, 12-19 (1989).
    • (1989) Prikl. Mekh. , vol.25 , Issue.2 , pp. 12-19
    • Podil'chuk, Yu.N.1
  • 50
    • 0026382861 scopus 로고
    • General problem of the theory of elasticity for a transversely isotropic cone
    • Yu. N. Podil'chuk, "General problem of the theory of elasticity for a transversely isotropic cone," Prikl. Mekh., 27, No. 12, 14-20 (1991).
    • (1991) Prikl. Mekh. , vol.27 , Issue.12 , pp. 14-20
    • Podil'chuk, Yu.N.1
  • 51
    • 0026945424 scopus 로고
    • Stress distribution in an infinite transversely isotropic medium with an external elliptical crack. Pure torsion
    • Yu. N. Podil'chuk, "Stress distribution in an infinite transversely isotropic medium with an external elliptical crack. Pure torsion," Prikl. Mekh., 28, No. 11, 23-30 (1992).
    • (1992) Prikl. Mekh. , vol.28 , Issue.11 , pp. 23-30
    • Podil'chuk, Yu.N.1
  • 52
    • 0027577101 scopus 로고
    • Stress distribution in an infinite transversely isotropic medium with an external elliptical crack. Pure bending
    • Yu. N. Podil'chuk, "Stress distribution in an infinite transversely isotropic medium with an external elliptical crack. Pure bending," Prikl. Mekh., 29, No. 4, 12-17 (1993).
    • (1993) Prikl. Mekh. , vol.29 , Issue.4 , pp. 12-17
    • Podil'chuk, Yu.N.1
  • 53
    • 0027599525 scopus 로고
    • Stress distribution in an infinite transversely isotropic medium with an external elliptical crack. Pure tension and shear
    • Yu. N. Podil'chuk, "Stress distribution in an infinite transversely isotropic medium with an external elliptical crack. Pure tension and shear," Prikl. Mekh., 29, No. 5, 22-31 (1993).
    • (1993) Prikl. Mekh. , vol.29 , Issue.5 , pp. 22-31
    • Podil'chuk, Yu.N.1
  • 54
    • 0027615383 scopus 로고
    • Stress-strain state of a transversely isotropic medium with an internal elliptical crack. Constant load on the surface of the crack
    • Yu. N. Podil'chuk, "Stress-strain state of a transversely isotropic medium with an internal elliptical crack. Constant load on the surface of the crack," Prikl. Mekh., 29. No. 6, 22-29 (1993).
    • (1993) Prikl. Mekh. , vol.29 , Issue.6 , pp. 22-29
    • Podil'chuk, Yu.N.1
  • 55
    • 0027678661 scopus 로고
    • Mechanical and thermal stress state of transversely isotropic bodies with elliptical and parabolic cracks
    • Yu. N. Podil'chuk, "Mechanical and thermal stress state of transversely isotropic bodies with elliptical and parabolic cracks," Prikl. Mekh., 29, No. 10, 26-36 (1993).
    • (1993) Prikl. Mekh. , vol.29 , Issue.10 , pp. 26-36
    • Podil'chuk, Yu.N.1
  • 56
    • 0028457552 scopus 로고
    • Stress state of a transversely isotropic medium with a parabolic crack
    • Yu. N. Podil'chuk, "Stress state of a transversely isotropic medium with a parabolic crack," Prikl. Mekh., 30, No. 7, 3-8 (1994).
    • (1994) Prikl. Mekh. , vol.30 , Issue.7 , pp. 3-8
    • Podil'chuk, Yu.N.1
  • 57
    • 0039998873 scopus 로고
    • Stress concentration in a transversely isotropic body with a thin elliptical inclusion
    • Yu. N. Podil'chuk, "Stress concentration in a transversely isotropic body with a thin elliptical inclusion," Dopov. Akad. Nauk Ukr. RSR, No. 1, 45-48 (1995).
    • (1995) Dopov. Akad. Nauk Ukr. RSR , Issue.1 , pp. 45-48
    • Podil'chuk, Yu.N.1
  • 58
    • 0040592004 scopus 로고
    • Stress state of a transversely isotropic body with a parabolic crack
    • Yu. N. Podil'chuk, "Stress state of a transversely isotropic body with a parabolic crack," Dopov. Akad. Nauk Ukr. RSR, No. 2, 55-58 (1995).
    • (1995) Dopov. Akad. Nauk Ukr. RSR , Issue.2 , pp. 55-58
    • Podil'chuk, Yu.N.1
  • 59
    • 0002601468 scopus 로고
    • Stress state of a transversely isotropic body with an internal elliptical crack and a linearly changing shear load on the surfaces of the crack
    • Yu. N. Podil'chuk, "Stress state of a transversely isotropic body with an internal elliptical crack and a linearly changing shear load on the surfaces of the crack," Prikl. Mekh., 31, No. 7, 37-46 (1995).
    • (1995) Prikl. Mekh. , vol.31 , Issue.7 , pp. 37-46
    • Podil'chuk, Yu.N.1
  • 60
    • 0041186085 scopus 로고
    • Stress state of a transversely isotropic medium next to a hyperboloidal notch in pure torsion, tension, and shear
    • Yu. N. Podil'chuk, G. P. Grechka, and Yu. M. Kobzar', "Stress state of a transversely isotropic medium next to a hyperboloidal notch in pure torsion, tension, and shear," Prikl. Mekh., 20, No. 12, 27-34 (1984).
    • (1984) Prikl. Mekh. , vol.20 , Issue.12 , pp. 27-34
    • Podil'chuk, Yu.N.1    Grechka, G.P.2    Kobzar', Yu.M.3
  • 61
    • 0039998874 scopus 로고
    • Elastic equilibrium of a transversely isotropic one-cavity hyperboloid of revolution with assigned displacements on the boundary
    • Yu. N. Podil'chuk and A. M. Kirichenko, "Elastic equilibrium of a transversely isotropic one-cavity hyperboloid of revolution with assigned displacements on the boundary," Visn. Kiiv. Univ. Ser. Mat. Mekh., No. 23, 106-112 (1981).
    • (1981) Visn. Kiiv. Univ. Ser. Mat. Mekh. , Issue.23 , pp. 106-112
    • Podil'chuk, Yu.N.1    Kirichenko, A.M.2
  • 62
    • 0041186088 scopus 로고
    • First and second fundamental boundary-value problems of the theory of elasticity for a transversely isotropic hyperboloid of revolution
    • Yu. N. Podil'chuk, and A. M. Kirichenko, "First and second fundamental boundary-value problems of the theory of elasticity for a transversely isotropic hyperboloid of revolution," Vychisl. Prikl. Mat., No. 71, 60-70 (1990).
    • (1990) Vychisl. Prikl. Mat. , Issue.71 , pp. 60-70
    • Podil'chuk, Yu.N.1    Kirichenko, A.M.2
  • 63
    • 0039406781 scopus 로고
    • Stress state of a transversely isotropic body with an elliptical internal crack. Linearly changing load on the surface of the crack
    • Yu. N. Podil'chuk and A. M. Kirichenko, "Stress state of a transversely isotropic body with an elliptical internal crack. Linearly changing load on the surface of the crack," Obchisl. ta Prikl. Matematika, No. 79, 117-124 (1995).
    • (1995) Obchisl. Ta Prikl. Matematika , Issue.79 , pp. 117-124
    • Podil'chuk, Yu.N.1    Kirichenko, A.M.2
  • 64
    • 0039998875 scopus 로고    scopus 로고
    • Stress state of a transversely isotropic body with an elliptical internal crack. Quadratically changing load on the surface of the crack
    • Yu. N. Podil'chuk and A. M. Kirichenko, "Stress state of a transversely isotropic body with an elliptical internal crack. Quadratically changing load on the surface of the crack," Obchisl. ta Prikl. Matematika, No. 80 (1996).
    • (1996) Obchisl. Ta Prikl. Matematika , Issue.80
    • Podil'chuk, Yu.N.1    Kirichenko, A.M.2
  • 65
    • 0039998870 scopus 로고
    • Stress concentration in a transversely isotropic medium next to a hyperboloidal notch
    • Yu. N. Podil'chuk and Yu. M. Kobzar', "Stress concentration in a transversely isotropic medium next to a hyperboloidal notch," Prikl. Mekh., 17, No. 11, 40-47 (1981).
    • (1981) Prikl. Mekh. , vol.17 , Issue.11 , pp. 40-47
    • Podil'chuk, Yu.N.1    Kobzar', Yu.M.2
  • 66
    • 0040592003 scopus 로고
    • Stress concentration in a transversely isotropic medium next to a hyperboloidal notch in pure shear and bending
    • Yu. N. Podil'chuk and Yu. M. Kobzar', "Stress concentration in a transversely isotropic medium next to a hyperboloidal notch in pure shear and bending," Prikl. Mekh., 19, No. 12, 22-28 (1983).
    • (1983) Prikl. Mekh. , vol.19 , Issue.12 , pp. 22-28
    • Podil'chuk, Yu.N.1    Kobzar', Yu.M.2
  • 67
    • 0039998871 scopus 로고
    • Stress concentration in a transversely isotropic medium next to a hyperboloidal notch in pure bending
    • Yu. N. Podil'chuk and Yu. M. Kobzar', "Stress concentration in a transversely isotropic medium next to a hyperboloidal notch in pure bending," Prikl. Mekh., 21, No. 11, 18-24 (1985).
    • (1985) Prikl. Mekh. , vol.21 , Issue.11 , pp. 18-24
    • Podil'chuk, Yu.N.1    Kobzar', Yu.M.2
  • 68
    • 0026175702 scopus 로고
    • Stress state of a transversely isotropic medium with a spheroidal anisotropic inclusion. Arbitrary uniform stress field at infinity
    • Yu. N. Podil'chuk and Ya. I. Sokolovskii, "Stress state of a transversely isotropic medium with a spheroidal anisotropic inclusion. Arbitrary uniform stress field at infinity," Prikl. Mekh., 27, No. 6, 22-30 (1991).
    • (1991) Prikl. Mekh. , vol.27 , Issue.6 , pp. 22-30
    • Podil'chuk, Yu.N.1    Sokolovskii, Ya.I.2
  • 69
    • 0026193854 scopus 로고
    • Stress state of a transversely isotropic medium with an anisotropic inclusion. Arbitrary linear force field at infinity
    • Yu. N. Podil'chuk and Ya. I. Sokolovskii, "Stress state of a transversely isotropic medium with an anisotropic inclusion. Arbitrary linear force field at infinity," Prikl. Mekh., 27, No. 7, 25-35 (1991).
    • (1991) Prikl. Mekh. , vol.27 , Issue.7 , pp. 25-35
    • Podil'chuk, Yu.N.1    Sokolovskii, Ya.I.2
  • 70
    • 0039998872 scopus 로고
    • Contact problems of the theory of elasticity of a transversely isotropic body for a die that is a plane parabola in plan
    • Yu. N. Podil'chuk and V. F. Tkachenko, "Contact problems of the theory of elasticity of a transversely isotropic body for a die that is a plane parabola in plan," Dopov. Akad. Nauk Ukr. RSR, No. 12, 54-58 (1993).
    • (1993) Dopov. Akad. Nauk Ukr. RSR , Issue.12 , pp. 54-58
    • Podil'chuk, Yu.N.1    Tkachenko, V.F.2
  • 71
    • 0039406779 scopus 로고
    • Stress state of a transversely isotropic medium with a parabolic crack when linearly changing pressure is applied to its surface
    • Yu. N. Podil'chuk and V. F. Tkachenko, "Stress state of a transversely isotropic medium with a parabolic crack when linearly changing pressure is applied to its surface," Prikl. Mekh., 30, No. 12, 12-18 (1994).
    • (1994) Prikl. Mekh. , vol.30 , Issue.12 , pp. 12-18
    • Podil'chuk, Yu.N.1    Tkachenko, V.F.2
  • 73
    • 0039406773 scopus 로고
    • Stress state of a transversely isotropic medium with a parabolic crack subjected to a linearly changing shear load
    • Yu. N. Podil'chuk and V. F. Tkachenko, "Stress state of a transversely isotropic medium with a parabolic crack subjected to a linearly changing shear load," Prikl. Mekh., 31, No. 5, 11-19 (1995).
    • (1995) Prikl. Mekh. , vol.31 , Issue.5 , pp. 11-19
    • Podil'chuk, Yu.N.1    Tkachenko, V.F.2
  • 74
    • 0041186079 scopus 로고
    • Stress state of a transversely isotropic half-space in the case of a plane elliptical die subjected to a force and moments
    • Yu. N. Podil'chuk and V. F. Tkachenko, "Stress state of a transversely isotropic half-space in the case of a plane elliptical die subjected to a force and moments," Prikl. Mekh., 31, No. 10, 34-40 (1995).
    • (1995) Prikl. Mekh. , vol.31 , Issue.10 , pp. 34-40
    • Podil'chuk, Yu.N.1    Tkachenko, V.F.2
  • 75
    • 0030153667 scopus 로고    scopus 로고
    • Contact problems of the theory of elasticity for a transversely isotropic half-space with an elliptic interface in the boundary conditions
    • Yu. N. Podil'chuk and V. F. Tkachenko, "Contact problems of the theory of elasticity for a transversely isotropic half-space with an elliptic interface in the boundary conditions," Prikl. Mekh., 32, No. 6, 40-47 (1996).
    • (1996) Prikl. Mekh. , vol.32 , Issue.6 , pp. 40-47
    • Podil'chuk, Yu.N.1    Tkachenko, V.F.2
  • 76
    • 0040592002 scopus 로고    scopus 로고
    • Stress state of a transversely isotropic half-space in the case of a nonplanar die that is elliptical in plan and is subjected to forces and
    • Yu. N. Podil'chuk and V. F. Tkachenko, "Stress state of a transversely isotropic half-space in the case of a nonplanar die that is elliptical in plan and is subjected to forces and bending moments," Prikl. Mekh., 32, No. 10, 59-66 (1996).
    • (1996) Prikl. Mekh. , vol.32 , Issue.10 , pp. 59-66
    • Podil'chuk, Yu.N.1    Tkachenko, V.F.2    Moments, B.3
  • 77
    • 0039998869 scopus 로고
    • Stress state of monolithic beds of rock
    • Yu. N. Podil'chuk and I. V. Tsaruk, "Stress state of monolithic beds of rock," Prikl. Mekh., 19, No. 10, 20-30 (1983).
    • (1983) Prikl. Mekh. , vol.19 , Issue.10 , pp. 20-30
    • Podil'chuk, Yu.N.1    Tsaruk, I.V.2
  • 78
    • 51249195324 scopus 로고
    • Edge effects in the axisymmetric theory of elasticity. Method of p-analytic functions of a complex variable
    • G. N. Polozhii, "Edge effects in the axisymmetric theory of elasticity. Method of p-analytic functions of a complex variable," Ukr. Mat. Zh., 15, No. 1, 25-45 (1963).
    • (1963) Ukr. Mat. Zh. , vol.15 , Issue.1 , pp. 25-45
    • Polozhii, G.N.1
  • 80
    • 0039406772 scopus 로고
    • Problems of linear conjugation of p-analytic functions with the characteristic p = x
    • G. N. Polozhii and A. A. Kapshivyi, "Problems of linear conjugation of p-analytic functions with the characteristic p = x," Vichisl. Prikl. Mat., No. 10, 49-66 (1970).
    • (1970) Vichisl. Prikl. Mat. , Issue.10 , pp. 49-66
    • Polozhii, G.N.1    Kapshivyi, A.A.2
  • 81
    • 0039998862 scopus 로고
    • Survey of studies of homogeneous solutions of the theory of elasticity and their application
    • V. K. Prokopov, "Survey of studies of homogeneous solutions of the theory of elasticity and their application," Tr. Leningr. Politekh. Inst., No. 279, 31-46 (1967).
    • (1967) Tr. Leningr. Politekh. Inst. , Issue.279 , pp. 31-46
    • Prokopov, V.K.1
  • 83
    • 0039406776 scopus 로고
    • Complex stress functions in an axisymmetric contact problem of the theory of elasticity
    • N. A. Rostovtsev, "Complex stress functions in an axisymmetric contact problem of the theory of elasticity," Prikl. Mat. Mekh., 17, No. 5, 611-614 (1953).
    • (1953) Prikl. Mat. Mekh. , vol.17 , Issue.5 , pp. 611-614
    • Rostovtsev, N.A.1
  • 87
    • 0040592001 scopus 로고
    • Stress state of a transversely isotropic medium in nonideal mechanical contact with a spheroidal inclusion
    • Ya. I. Sokolovskii and T. I. Bubnyak, "Stress state of a transversely isotropic medium in nonideal mechanical contact with a spheroidal inclusion," Teor. Prikl. Mekh., 25, 17-26 (1995).
    • (1995) Teor. Prikl. Mekh. , vol.25 , pp. 17-26
    • Sokolovskii, Ya.I.1    Bubnyak, T.I.2
  • 88
    • 0040591997 scopus 로고    scopus 로고
    • Problem of a transversely isotropic medium in nonideal mechanical contact with a spheroidal inclusion
    • Ya. I. Sokolovs'kii and T. I. Bubnyak, "Problem of a transversely isotropic medium in nonideal mechanical contact with a spheroidal inclusion," Dopov. Akad. Nauk Ukr. RSR, No. 9, 45-50 (1996).
    • (1996) Dopov. Akad. Nauk Ukr. RSR , Issue.9 , pp. 45-50
    • Sokolovs'kii, Ya.I.1    Bubnyak, T.I.2
  • 89
    • 0039406777 scopus 로고
    • Representation of the general solution of an axisymmetric problem of the theory of elasticity for multiply connected solids of revolution by means of analytic functions of a complex variable
    • Yu. I. Solov'ev, "Representation of the general solution of an axisymmetric problem of the theory of elasticity for multiply connected solids of revolution by means of analytic functions of a complex variable," Tr. Novosib. Inst. Inzh. Zheleznodorozhn. Transp., 96, 42-62 (1970).
    • (1970) Tr. Novosib. Inst. Inzh. Zheleznodorozhn. Transp. , vol.96 , pp. 42-62
    • Solov'ev, Yu.I.1
  • 93
    • 0002321356 scopus 로고
    • Some problems of transversely isotropic elastic materials
    • V. T. Chen, "Some problems of transversely isotropic elastic materials," Trans. ASME Ser. E, Applied Mechanics, 33, No. 2, 98-107 (1966).
    • (1966) Trans. ASME Ser. E, Applied Mechanics , vol.33 , Issue.2 , pp. 98-107
    • Chen, V.T.1
  • 94
    • 0039406771 scopus 로고
    • Stress concentration near a hyperboloidal notch in a transversely isotropic body in tension
    • V. T. Chen, "Stress concentration near a hyperboloidal notch in a transversely isotropic body in tension," Trans. ASME Ser. E, Applied Mechanics, 33, No. 1, 177-181 (1971).
    • (1971) Trans. ASME Ser. E, Applied Mechanics , vol.33 , Issue.1 , pp. 177-181
    • Chen, V.T.1
  • 98
    • 84932790069 scopus 로고
    • Three-dimensional stress distributions in hexagonal aeolotropic crystals
    • H. A. Elliot, "Three-dimensional stress distributions in hexagonal aeolotropic crystals," Proc. R. Soc., 44, No. 4, 522-533 (1948).
    • (1948) Proc. R. Soc. , vol.44 , Issue.4 , pp. 522-533
    • Elliot, H.A.1
  • 99
    • 0024622918 scopus 로고
    • Stress interference in a transversely isotropic body under axisymmetric loading
    • S. M. Heinrich and J. V. Wang, "Stress interference in a transversely isotropic body under axisymmetric loading," J. Eng. Mech., 115, No. 3, 555-577 (1989).
    • (1989) J. Eng. Mech. , vol.115 , Issue.3 , pp. 555-577
    • Heinrich, S.M.1    Wang, J.V.2
  • 100
    • 0018061810 scopus 로고
    • The behavior of a flat elliptical crack in an anisotropic elastic body
    • A. Hoenig, "The behavior of a flat elliptical crack in an anisotropic elastic body," Int. J. Solids Struct., No. 14, 925-934 (1978).
    • (1978) Int. J. Solids Struct. , Issue.14 , pp. 925-934
    • Hoenig, A.1
  • 101
    • 0015077925 scopus 로고
    • The distribution of stress around a flat parabolic crack in an elastic solid
    • M. K. Kassir, "The distribution of stress around a flat parabolic crack in an elastic solid," Eng. Fract. Mech., 2, No. 4, 373-385 (1971).
    • (1971) Eng. Fract. Mech. , vol.2 , Issue.4 , pp. 373-385
    • Kassir, M.K.1
  • 102
    • 0000673195 scopus 로고
    • Three-dimensional stress around elliptical cracks in transversely isotropic solids
    • M. K. Kassir and G. C. Sih, "Three-dimensional stress around elliptical cracks in transversely isotropic solids," Eng. Fract. Mech., No. 1, 327-345 (1968).
    • (1968) Eng. Fract. Mech. , Issue.1 , pp. 327-345
    • Kassir, M.K.1    Sih, G.C.2
  • 104
    • 0039406780 scopus 로고
    • The spatial elastic problem of heat stress of a transversely isotropic body
    • Kim Sung Koon, "The spatial elastic problem of heat stress of a transversely isotropic body," Mathematics, No. 1, 38-43 (1987).
    • (1987) Mathematics , Issue.1 , pp. 38-43
    • Koon, K.S.1
  • 105
    • 0022205340 scopus 로고
    • On a general treatise of three-dimensional thermoelastic problems in transversely isotropic bodies
    • N. Noda and V. Takeuti, "On a general treatise of three-dimensional thermoelastic problems in transversely isotropic bodies," Z. Angew. Math. Mech., 65, No. 10, 509-512 (1985).
    • (1985) Z. Angew. Math. Mech. , vol.65 , Issue.10 , pp. 509-512
    • Noda, N.1    Takeuti, V.2
  • 107
    • 84959585289 scopus 로고
    • Notes on problems in hexagonal aeolotropic materials
    • R. T. Shield, "Notes on problems in hexagonal aeolotropic materials," Proc. Cambridge Philos. Soc., 47, 401-409 (1951).
    • (1951) Proc. Cambridge Philos. Soc. , vol.47 , pp. 401-409
    • Shield, R.T.1
  • 108
    • 0001356559 scopus 로고
    • The stress field around an elliptical hole in an anisotropic medium
    • J. R. Willis, "The stress field around an elliptical hole in an anisotropic medium," Int. J. Eng. Sci., No. 6, 253-263 (1968).
    • (1968) Int. J. Eng. Sci. , Issue.6 , pp. 253-263
    • Willis, J.R.1
  • 109
    • 0024755788 scopus 로고
    • Spheroidal cavity with prescribed asymmetric displacements in three-dimensional transverse isotropy
    • A. H. Zureick, "Spheroidal cavity with prescribed asymmetric displacements in three-dimensional transverse isotropy," J. Eng. Mech., 115, No. 11, 2427-2439 (1989).
    • (1989) J. Eng. Mech. , vol.115 , Issue.11 , pp. 2427-2439
    • Zureick, A.H.1
  • 110
    • 0024647114 scopus 로고
    • The asymmetric displacement of a rigid spheroidal inclusion embedded in a transversely isotropic medium
    • A. H. Zureick, "The asymmetric displacement of a rigid spheroidal inclusion embedded in a transversely isotropic medium," Acta Mech., 77, No. 1-2, 101-110 (1989).
    • (1989) Acta Mech. , vol.77 , Issue.1-2 , pp. 101-110
    • Zureick, A.H.1


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