Advertisement

Mechanics of Composite Materials

, Volume 15, Issue 5, pp 537–551 | Cite as

Thin shells fabricated out of composite materials weakened by holes

  • A. N. Guz'
  • K. I. Shnerenko
Strength And Stability

Conclusions

This review of papers produced in connection with the formulation and solution of problems for shells made out of composite materials with holes, as well as the reviews [100–106] published previously, permit drawing the following conclusions:
  1. 1)

    effect of anisotropy on the stress state in the vicinity of holes has been investigated from the qualitative and quantitative sides in the classical formulation for shells made out of composite materials;

     
  2. 2)

    exact and approximate analytic solutions are obtained for transversely isotropic single-layer and three-layer shells; and

     
  3. 3)

    methods of solving problems for laminated shells have been developed with anisotropy and a reduced shear stiffness taken into account.

     

The following directions of investigations are being pursued for this problem at present: analysis of results and practical recommendations on taking account of the effect of interlayer shears in transversely isotropic shells; taking account of the combined mutual effect of anisotropy of the properties and low shear stiffness on the stress distribution near holes; analysis of computational schemes, development of practical recommendations, and the establishment of the limits of applicability of the applied theories in connection with calculations of laminated shells with holes.

Keywords

Anisotropy Composite Material Stress Distribution Mutual Effect Classical Formulation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    A. N. Guz' and K. I. Shnerenko, ″Stress concentrations near holes in shells made out of a material with a small shear modulus,″ Prikl. Mekh.,6, No. 8, 15–23 (1970).Google Scholar
  2. 2.
    S. P. Timoshenko, ″On the corrections for shear of the differential equations for transverse vibrations of prismatic bars,″ Philos. Mag.,41, No. 6, 50–57 (1921).Google Scholar
  3. 3.
    A. N. Guz', I. S. Chernyshenko, and K. I. Shnerenko, Spherical Bottoms Weakened by Holes [in Russian], Kiev (1970).Google Scholar
  4. 4.
    A. N. Guz', I. S. Chernyshenko, Val. N. Chekhov, Vik. N. Chekhov, and K. I. Shnerenko, Cylindrical Shells Weakened by Holes [in Russian], Kiev (1974).Google Scholar
  5. 5.
    A. N. Guz', P. Z. Lugovoi, and N. A. Shul'ga, Conical Shells Weakened by Holes [in Russian], Kiev (1976).Google Scholar
  6. 6.
    O. M. Guz', ″Stress concentration near a circular hole in a spherical anisotropic shell,″ Prikl. Mekh.,7, No. 4, 427–431 (1961).Google Scholar
  7. 7.
    O. M. Guz', ″Axisymmetric strain of smooth orthotropic of shells of revolution,″ Dopov. Akad. Nauk URSR, No. 8, 1044–1047 (1962).Google Scholar
  8. 8.
    V. G. Karnaukhov, ″The stress concentration near a circular hole in a spherical anisotropic shell,″ Prikl. Mekh.,8, No. 6, 679–682 (1962).Google Scholar
  9. 9.
    A. A. Syas'kii, ″Stress concentration in a piecewise-uniform orthotropic spherical shell with a curved hole,″ Prikl. Mekh.,14, No. 4, 132–136 (1978).Google Scholar
  10. 10.
    A. P. Mukoed, ″The stress state near a circular hole in a cylindrical orthotropic shell,″ Prikl. Mekh.,6, No. 11, 26–31 (1970).Google Scholar
  11. 11.
    A. P. Mukoed, ″Stress concentration in anisotropic and laminated shells of revolution,″ Prikl. Mekh.,2, No. 11, 37–46 (1966).Google Scholar
  12. 12.
    A. P. Mikoed, A. V. Chigirinskii, and N. A. Shul'ga, ″Thermal stresses in an orthotropic cylindrical shell weakened by a circular hole,″ in: Thermal Stresses in Structural Elements [in Russian], No. 11, Kiev (1971), pp. 73–76.Google Scholar
  13. 13.
    Yu. A. Ashmarin, ″Stress concentration near a circular hole in an orthotropic cylindrical shell,″ Prikl. Mekh.,2, No. 2, 44–48 (1966).Google Scholar
  14. 14.
    Yu. A. Ashmarin, ″Stress state near a circular hole in an orthotropic cylindrical shell,″ Prikl. Mekh.,2, No. 7, 22–26 (1966).Google Scholar
  15. 15.
    Yu. A. Ashmarin, ″Stress and strain state of an orthotropic cylindrical shell weakened by a circular hole,″ in: The Theory of Plates and Shells [in Russian], Moscow (1966), pp. 98–102.Google Scholar
  16. 16.
    Yu. A. Ashmarin, ″The effect of the size of the shear modulus on the stress concentration,″ Prikl. Mekh.,3, No. 2, 57–61 (1967).Google Scholar
  17. 17.
    O. M. Guz', ″Stress concentration near a circular hole reinforced by a rigid ring in a cylindrical orthotropic shell,″ Dopov. Akad. Nauk URSR, No. 12, 1594–1597 (1962).Google Scholar
  18. 18.
    A. N. Guz', ″Approximate solutions of some problems on the stress concentration near holes in isotropic and orthotropic shells,″ in: The Theory of Shells and Plates [in Russian], Erevan (1964), pp. 431–436.Google Scholar
  19. 19.
    V. I. Ozerov, ″An investigation of the stress state near a reinforced hole in an orthotropic cylindrical shell,″ Prikl. Mekh.,9, No. 9, 82–86 (1973).Google Scholar
  20. 20.
    L. P. Pytel', ″Torsion of an orthotropic cylindrical shell weakened by a hole,″ in: Transactions of the All-Union Correspondence Polytechnic Institute (Moscow), No. 59, 90–93 (1970).Google Scholar
  21. 21.
    L. P. Pytel', ″Experimental investigation of the stress state near a cutout in a cylindrical shell made out of glass-plastic in the case of torsion,″ in: Transactions of the All-Union Correspondence Polytechnic Institute (Moscow), No. 81, 197–202 (1973).Google Scholar
  22. 22.
    L. P. Pytel' and V. G. Kukushkin, ″Stress concentration near a cutout on the surface of an orthotropic cylindrical shell,″ Prikl. Mekh.,9, No. 3, 114–117 (1973).Google Scholar
  23. 23.
    E. P. Borzykh, ″An algorithm for the numerical calculation of a smooth orthotropic shell of rectangular shape with a rectangular hole,″ Tr. TsNIISK (Moscow), No. 9, 104–109 (1970).Google Scholar
  24. 24.
    V. B. Mel'nikov, ″Stress concentration in a circular orthotropic cylindrical shell weakened by a circular hole,″ Transactions of the Thirteenth Conference Dedicated to the Memory of P. F. Papkovich, Leningrad (1965), p. 31.Google Scholar
  25. 25.
    V. G. Rudnev, ″The problem of the stress state of an orthotropic cylindrical shell with a rectangular cutout,″ in: Transactions of the All-Union Correspondence Polytechnic Institute (Moscow), No. 73, 58–62 (1972).Google Scholar
  26. 26.
    V. G. Rudnev, ″Stress-strain state of an orthotropic circular cylindrical shell weakened by a rectangular cutout,″ in: Transactions of the All-Union Correspondence Polytechnic Institute (Moscow), No. 73, 110–113 (1972).Google Scholar
  27. 27.
    I. M. Pirogov, G. P. Prikazchikov, and L. P. Startseva, ″Tension of a glass-plastic cylindrical shell with a rectangular cutout,″ in: Transactions of the All-Union Correspondence Polytechnic Institute (Moscow), No. 73, 37–44 (1972).Google Scholar
  28. 28.
    I. M. Pirogov and F. I. Selitskii, ″Bending of a cantilever cylindrical shell made out of glass-plastic weakened by a circular cutout,″ Mekh. Polim., No. 1, 152–157 (1970).Google Scholar
  29. 29.
    I. M. Pirogov and L. P. Startseva, ″Equations of an orthotropic cylindrical shell in elliptical coordinates,″ in: Transactions of the Ail-Union Correspondence Polytechnic Institute (Moscow), No. 52, 50–61 (1969).Google Scholar
  30. 30.
    I. M. Pirogov and V. P. Yumatov, ″Stress distribution near a square cutout in a glass-plastic cylindrical shell,″ in: Transactions of the All-Union Correspondence Polytechnic Institute (Moscow), No. 59, 82–86 (1970).Google Scholar
  31. 31.
    O. A. Goroshko and I. G. Strel'chenko, ″Stress-strain state in the vicinity of the intersection of cylindrical orthotropic shells of constant thickness,″ Prikl. Mekh.,12, No. 3, 9–13 (1976).Google Scholar
  32. 32.
    V. G. Kichigin and T. A. Yurchenko, ″An orthotropic cylindrical shell with a biperiodic system of holes,″ Transactions of the Nikolaevskii Shipbuilding Institute, No. 90, 135–142 (1974).Google Scholar
  33. 33.
    P. Z. Lugovoi, ″Stress concentration near a hole in an anisotropic shell,″ Dopov. Akad. Nauk URSR, Ser. A, No. 4, 319–322 (1978).Google Scholar
  34. 34.
    P. Z. Lugovoi and M. A. Ryndyuk, ″Investigation of the stress distribution near a hole in an orthotropic conical shell,″ Prikl. Mekh.,12, No. 3, 34–39 (1976).Google Scholar
  35. 35.
    N. A. Shul'ga and P. Z. Lugovoi, ″Elastic equilibrium of an orthotropic conical shell with a circular hole,″ Prikl. Mekh.,10, No. 2, 27–32 (1974).Google Scholar
  36. 36.
    O. V. Galushchak, ″Stress state of glass-plastic shells of revolution of variable thickness with a reinforced hole,″ in: The Stability and Deformability of Structural Elements Made Out of Composite Materials [in Russian], Kiev (1972), pp. 49–54.Google Scholar
  37. 37.
    O. V. Galushchak and I. K. Koshevoi, ″Stress state near a circular hole in orthotropic spherical shells of linearly variable thickness,″ Mekh. Polim., No. 2, 294–298 (1974).Google Scholar
  38. 38.
    O. V. Potudin and L. A. Tolokonnikov, ″Stress concentration in the vicinity of holes in shells of revolution made out of materials having different moduli,″ Tekhnol. Mashinostr., No. 14, 140–154 (1969).Google Scholar
  39. 39.
    O. N. Ivanov, ″Stress state of an axisymmetrically heated orthotropic bottom weakened by a circular hole,″ Prikl. Mekh.,1, No. 10, 127–132 (1965).Google Scholar
  40. 40.
    S. P. Gavelya and I. A. Davydov, ″Calculation of the stress-strain state of orthotropic smooth shells with holes,″ in: The Stability and Strength of Structural Elements [in Russian], Dnepropetrovsk (1973), pp. 176–183.Google Scholar
  41. 41.
    B. L. Pelekh, The Theory of Shells with Finite Shear Stiffness [in Russian], Kiev (1973).Google Scholar
  42. 42.
    B. L. Pelekh and A. A. Syas'kii, Stress Distribution near Holes in Anisotropic Shells Compliant to Shear [in Russian], Kiev (1975).Google Scholar
  43. 43.
    A. A. Syas'kii and E. I. Lun', ″Boundary conditions for a shell with a hole whose edge is reinforced by a thin elastic rod,″ Prikl. Mekh.,11, No. 3, 25–32 (1975).Google Scholar
  44. 44.
    K, I. Shnerenko, ″The effect of shear strains on the stress state of a spherical shell weakened by holes,″ Prikl. Mekh.,7, No. 3, 21–27 (1971).Google Scholar
  45. 45.
    G. I. Zabiyaka, ″Stress concentration in a spherical laminated shell of asymmetrical structure near a reinforced hole,″ in: The Dynamics and Strength of Mining Machines [in Russian], No. 3, Kiev (1975), pp. 42–45.Google Scholar
  46. 46.
    G. I. Zabiyaka and V. I. Konokh, ″Stress state of a laminated spherical shell of asymmetrical structure with a hole,″ in: Hydroaeromechanics and Structure Theory [in Russian], No. 18, Kharkov (1974), pp. 119–121.Google Scholar
  47. 47.
    G. I. Zabiyaka and A. P. Prusakov, ″Stress concentration in laminated shells of asymmetrical structure,″ Prikl. Mekh.,10, No. 6, 11–16 (1974).Google Scholar
  48. 48.
    B. L. Pelekh, ″Some problems of the theory and calculation of anisotropic shells and plates with low shear stiffness,″ Mekh. Polim., No. 4, 693–714 (1970).Google Scholar
  49. 49.
    B. L. Pelekh and E. I. Lun', ″Stress concentration near holes in transversely isotropic shells,″ Mekh. Polim., No. 6, 1076–1081 (1970).Google Scholar
  50. 50.
    B. L. Pelekh and B. N. Polevoi, ″The determination of the thermal stress concentration near a circular hole in a transversely isotropic spherical shell,″ in: Proceedings of the Second Conference of Young Scientists of the Western Scientific Center of the USSR Academy of Sciences, Mechanics Section, Uzhgorod (1975), pp. 114–116.Google Scholar
  51. 51.
    B. L. Pelekh and B. N. Polevoi, ″Solving equations of the thermoelasticity of transversely isotropic shells in complex form and their application in problems of stress concentration,″ Prikl. Mekh.,13, No. 7, 22–27 (1977).Google Scholar
  52. 52.
    E. I. Lun' and A. A. Syas'kii, ″The determination of the stress state near a curved hole in a transversely isotropic shell,″ Izv. Akad. Nauk ArmSSR, Mekh.,26, No. 3, 64–70 (1973).Google Scholar
  53. 53.
    B. L. Pelekh, A. A. Syas'kii, and V. A. Syas'kii, ″Stress state in a transverse spherical shell with a curved inclusion,″ Mat. Metody Fiz.-Mekh. Polya, No. 6, 49–53, Kiev (1977).Google Scholar
  54. 54.
    K. I. Shnerenko, ″The solution of problems of an unsmooth spherical shell made out of material with a small shear modulus,″ Dopov. Akad. Nauk URSR, Ser. A, No. 12, 1112–1115 (1970).Google Scholar
  55. 55.
    E. I. Lun' and A. A. Syas'kii, ″The effect of transverse shears on the stress state of a cylindrical shell with a circular hole,″ Probl. Prochn., No. 3, 70–72 (1972).Google Scholar
  56. 56.
    G. N. Savin, Stress Distribution near Holes [in Russian], Kiev (1968).Google Scholar
  57. 57.
    V. A. Salo and V. F. Groza, ″The solution of some boundary-value problems for laminated cylindrical shells,″ Vestn. Khar'k. Politekh. In-st., Kraevye Zadachi Mat. Fiz.,113, No. 3, 47–52 (1976).Google Scholar
  58. 58.
    A. D. Shamrovskii, ″Propagation of elastic waves from the edge of a circular cutout in a cylindrical Timoshenko-type shell,″ Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 4, 69–79 (1974).Google Scholar
  59. 59.
    K. I. Shnerenko, ″Axisymmetric stress state of an anisotropic spherical shell with a hole,″ Dopov. Akad. Nauk URSR, Ser. A. No. 2, 178–181 (1971).Google Scholar
  60. 60.
    A. A. Syas'kii and E. I. Lun', ″Stress distribution near a reinforced hole in an orthotropic spherical shell,″ Mekh. Polim., No. 5, 879–883 (1973).Google Scholar
  61. 61.
    A. A. Syas'kii and D. I. Yarema, ″The determination of the elastic state in an orthotropic spherical shell with a reinforced circular hole,″ Mekh. Polim., No. 4, 756–760 (1974).Google Scholar
  62. 62.
    K. I. Shnerenko, ″The solution of problems of the statics of anisotropic shells of variable thickness weakened by holes,″ Prikl. Mekh.,15, No. 11, 40–50 (1979).Google Scholar
  63. 63.
    K. I. Shnerenko, ″Stress concentration near a hole in an orthotropic laminated cylindrical shell,″ Prikl. Mekh.,6, No. 6, 105–108 (1970).Google Scholar
  64. 64.
    K. I. Shnerenko, ″Stress state of laminated anisotropic shells with holes,″ Prikl. Mekh.,7, No. 10, 57–61 (1971).Google Scholar
  65. 65.
    K. I. Shnerenko, ″The effect of anisotropy of a material on the stress state of a cylindrical shell with a hole,″ Prikl. Mekh.,10, No. 1, 124–126 (1974).Google Scholar
  66. 66.
    K. I. Shnerenko, ″The stress state of a cylindrical shell with a reinforced hole,″ Dopov. Akad. Nauk URSR, Ser. A, No. 5, 429–432 (1974).Google Scholar
  67. 67.
    A. N. Guz' and K. I. Shnerenko, ″Investigation of the stress distribution near cutouts in reinforced plates,″ Dokl. Akad. Nauk USSR, Ser. A., No. 8, 698–701 (1978).Google Scholar
  68. 68.
    V. A. Salo, ″Stress-strain state of an orthotropic cylindrical shell with a circular hole,″ Izv. Vyssh. Uchebn. Zaved., Mashinostr., No. 7, 5–8 (1977).Google Scholar
  69. 69.
    Ya. F. Kayuk and M. K. Alekseeva, ″Stress state of thick shells with a hole made out of polymeric materials,″ Mekh. Polim., No. 6, 1071–1075 (1973).Google Scholar
  70. 70.
    I. M. Pirogov, ″Stress concentration near a hole on the surface of a two-layer cylindrical shell,″ in: Transactions of the All-Union Correspondence Polytechnic Institute (Moscow), No. 59, 126–131 (1970).Google Scholar
  71. 71.
    G. A. Van Fo Fy, ″Stress concentration near holes in three-layer shells,″ Prikl. Mekh.,5, No. 2, 51–61 (1969).Google Scholar
  72. 72.
    G. A. Van Fo Fy, ″Stress concentration near holes in three-layer spherical shells,″ Dopov. Akad. Nauk URSR, Ser. A, No. 6, 527–530 (1969).Google Scholar
  73. 73.
    G. A. Van Fo Fy, ″Multiply connected three-layer plates and shells,″ Transactions of the Eighth Ail-Union Conference on Shell and Plate Theory [in Russian], Moscow (1970), pp. 120–125.Google Scholar
  74. 74.
    G. A. Van Fo Fy, ″Stress distribution near holes in three-layer spherical shells,″ in: Stress Concentration [in Russian], No. 3, Kiev (1971), pp. 20–28.Google Scholar
  75. 75.
    G. A. Van Fo Fy and A. P. Mukoed, ″Stress distribution near cutouts in laminated shells of revolution,″ in: Reinforced Materials and Structures Made Out of Them [in Russian], Kiev (1970), pp. 79–106.Google Scholar
  76. 76.
    A. A. Savichenko, ″Stress state of a spherical three-layer shell with a rigid filler weakened by a hole,″ in: Stability and Deformability of Structural Elements Made Out of Composite Materials [in Russian], Kiev (1972), pp. 34–44.Google Scholar
  77. 77.
    G. A. Van Fo Fy and A. A. Savichenko, ″Stress state near a circular cutout in a three-layer spherical shell,″ Prikl. Mekh.,6, No. 8, 112–116 (1970).Google Scholar
  78. 78.
    A. A. Savichenko, ″The effect of shear strains on the stress state of a three-layer spherical shell weakened by a hole,″ Prikl. Mekh.,12, No. 3, 47–54 (1976).Google Scholar
  79. 79.
    G. A. Van Fo Fy, ″Stress concentration near an elliptical hole in three-layer spherical shells,″ Dopov. Akad. Nauk URSR, Ser. A, No. 1, 38–41 (1970).Google Scholar
  80. 80.
    G. A. Van Fo Fy and A. I. Zhalilo, ″Equilibrium of a three-layer spherical shell with an oval cutout,″ in: Computation and Design of Manufactured Articles Made Out of GlassPlastic [in Russian], Kiev (1972).Google Scholar
  81. 81.
    A. I. Zhalilo, ″Stress concentration near curved cutouts in a three-layer spherical shell,″ in: Computation and Design of Manufactured Articles Made Out of Glass-Plastic [in Russian], Kiev (1972).Google Scholar
  82. 82.
    A. I. Zhalilo, ″Stress-strain state near an elliptical cutout in a three-layer spherical shell with a light filler,″ in: Stability and Deformability of Structural Elements Made Out of Composite Materials [in Russian], Kiev (1972), pp. 55–62.Google Scholar
  83. 83.
    A. I. Zhalilo, ″A perturbation method for the Helmholtz equation in curvilinear coordinates,″ in: Mat. Fiz., No. 22, 115–120, Kiev (1977).Google Scholar
  84. 84.
    A. I. Zhaililo, ″Calculation of stresses and displacements in a three-layer spherical shell with a triangular hole,″ in: Mat. Fiz., No. 23, 90–96, Kiev (1978).Google Scholar
  85. 85.
    G. A. Vanin and A. A. Davichenko, ″Investigation of the effect of two holes on the stress state in a three-layer spherical shell,″ Prikl. Mekh.,11, No. 12, 15–21 (1975).Google Scholar
  86. 86.
    K. B. Aksentyan and I. A. Krasnobaev, ″Calculation of a circular three-layer cylindrical shell with a large rectangular hole,″ Izv. Vyssh. Uchebn. Zaved. Stroit. Arkhit., No. 2, 45–51 (1973).Google Scholar
  87. 87.
    I. V. Elatontseva, ″Design of an equal-strength three-layer cylindrical shell in the zone of a rectangular cutout,″ Proceedings of Scientific-Technical Conference of the Kuibyshev Aviation Institute, Part 2, Kuibyshev (1970), pp. 7–8.Google Scholar
  88. 88.
    I. S. Fedorchenko, ″The solution of problems of the vibrations and stability of three-layer cyclindrical shells with cutouts,″ Vychis. Prikl, Mat., No. 26, 9–19 (1975).Google Scholar
  89. 89.
    K. I. Shnerenko and V. V. Konovalenko, ″Experimental investigation of the stress distribution near cutouts in a Plexiglas cylindrical shell,″ Prikl. Mekh.,12, No. 3, 114–117 (1976).Google Scholar
  90. 90.
    Yu. A. Ashmarin and A. I. Otvechalin, ″Experimental investigation of the stress concentration near a circular hole in a cylindrical orthotropic shell,″ in: The Theory of Plates and Shells [in Russian], Moscow (1966), pp. 103–104.Google Scholar
  91. 91.
    I. M. Pirogov, V. P. Yumatov, and S. M. Kutepov, ″Experimental investigation of the stresses in the region of a rectangular cutout in a Plexiglas cylindrical shell,″ in: Transactions of the All-Union Correspondence Polytechnic Institute (Moscow), No. 81, 139–196 (1973).Google Scholar
  92. 92.
    B. F. Gusakov, I. P. Dmtrienko, S. M. Kutepov, and B. Ya. Pavlov, ″Experimental investigation of the stress state of an orthotropic cylindrical shell with a circular cutout,″ in: Transations of the All-Union Correspondence Polytechnic Institute (Moscow), No. 59, 22–24 (1970).Google Scholar
  93. 93.
    A. S. Rakin and V. N. Ivashkevich, ″Experimental investigation of orthotropic cylindrical shells with cutouts,″ Transactions of the Novosibirsk Engineering Institute of Railway Transportation, No. 137, 316–322 (1972).Google Scholar
  94. 94.
    V. N. Sakharov, Z. G. Alpaidze, A. V. Starchevskii, and B. N. Razdorkin, ″Measurement of strains on the surface of anisotropic shells with the help of optically sensitive coatings,″ in: Transactions of the Moscow Structural Engineering Institute, Nos. 125–126, 215–218 (1975).Google Scholar
  95. 95.
    A. P. Fedorov, ″Investigation of the strain and stress state of orthotropic shells by the method of photoelastic coatings,″ Transactions of the Eighth All-Union Conference on the Optical Polarization Method for Investigation of Stresses [in Russian], Vol. 2, Tallin (1971), pp. 161–167.Google Scholar
  96. 96.
    V. W. Milyutin, O. N. Ivanov, and Yu. I. Kudishin, ″Stress concentration in glass-plastic cylindrical shells with a number of circular holes upon the application of forces inside the holes,″ Khim. Mashinostr., No. 2, 120–125 (1974).Google Scholar
  97. 97.
    V. N. Mulyutin, Yu. I. Kudishin, and O. N. Ivanov, ″Stress concentration in glass-plastic cylindrical shells with a number of circular holes,″ Transactions of the Moscow Chemical Machine Construction Institute, No. 47, 83–93 (1972).Google Scholar
  98. 98.
    V. V. Vorobei, ″Investigation of the deformability of glass-plastic shells reinforced in the hole zone,″ Prikl. Mekh.,15, No. 1, 82–85 (1979).Google Scholar
  99. 99.
    N. A. Ivankov, V. I. Smykov, and O. N. Ivanov, ″Experimental investigation of the stability of a cylindrical glass-plastic shell weakened by a circular hole,″ Transactions of the Moscow Chemical Machine Construction Institute, No. 60, 101–106 (1975).Google Scholar
  100. 100.
    A. N. Guz', ″Stress concentration near holes in thin shells (Review),″ Prikl. Mekh.,5, No. 3, 1–17 (1969).Google Scholar
  101. 101.
    G. N. Savin and B. L. Pelekh, ″Stress concentration near holes in plates and shells with account taken of phenomena caused by transverse shear strains (Review),″ Prikl. Mekh.,7, No. 2, 3–11 (1971).Google Scholar
  102. 102.
    B. L. Pelekh, ″Some problems of theory development by the method of calculating anisotropic shells and plates with finite shear stiffness (Review),″ Mekh. Polim., No. 2, 269–284 (1975).Google Scholar
  103. 103.
    É. I. Grigolyuk and F. A. Kogan, ″Contemporary state of the theory of laminated shells,″ Prikl. Mekh.,8, No. 6, 3–17 (1972).Google Scholar
  104. 104.
    I. A. Tsurpal and N. G. Tamurov, Calculation of Multiply Connected Laminated and Nonlinearly Elastic Plates and Shells [in Russian], Kiev (1977).Google Scholar
  105. 105.
    W. B. Charles and H. F. Philip, ″Composite material mechanics: structural mechanics,″ ATAA J.,12, No. 9, 35–45 (1974).Google Scholar
  106. 106.
    W. A. Nash and C. F. Schibner, ″Strain concentrations around a hole in an anisotropic shell,″ CA NCAM 75, Prop. 5th Can. Congr. Appl. Mech., Fredericton, N. B., 1975, Fredericton (1975), pp. 63–64.Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • A. N. Guz'
    • 1
  • K. I. Shnerenko
    • 1
  1. 1.Institute of MechanicsAcademy of Sciences of the Ukrainian SSRKiev

Personalised recommendations