Skip to main content
Log in

Stress Concentration Near Openings in Composite Shells

  • Published:
International Applied Mechanics Aims and scope

Abstract

The results of studying the stress–strain distribution in composite shells with curvilinear openings are reported. Nonclassical generalizing formulations and methods for solution of linear and nonlinear problems are stated. Numerical results obtained for thin and nonthin shells are analyzed with regard for features of the deformation of composites

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. N. A. Alfutov, P. A. Zinov'ev, and B. G. Popov, Design of Multilayer Composite Plates and Shells [in Russian], Mashinostroenie, Moscow (1984).

    Google Scholar 

  2. Yu. A. Ashmarin, “Stress concentration near a circular opening in an orthotropic cylindrical shell,” Prikl. Mekh., 2, No. 2, 44–48 (1966).

    Google Scholar 

  3. Yu. A. Ashmarin, “The stress-strain state of an orthotropic cylindrical shell weakened by a circular opening,” in: The Theory of Plates and Shells [in Russian], Nauka, Moscow (1966), pp. 98–102.

    Google Scholar 

  4. Yu. A. Ashmarin, “The stress state near a circular opening in an orthotropic cylindrical shell,” Prikl. Mekh., 2, No. 7, 22–26 (1966).

    Google Scholar 

  5. Yu. A. Ashmarin and A. I. Otvechalin, “Experimental investigation of the stress concentration near a circular opening in an orthotropic cylindrical shell,” in: The Theory of Plates and Shells [in Russian], Nauka, Moscow (1966), pp. 103–104.

    Google Scholar 

  6. A. S. Bogatyrchuk, “Stress-strain analysis of composite shells with several openings by the finite-element method,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 3, 41–44 (1990).

  7. A. S. Bogatyrchuk, A. N. Guz', and K. I. Shnerenko, “Study of the stress concentration near two openings in composite shells by the finite-element method,” Prikl. Mekh., 26, No. 7, 34–38 (1990).

    Google Scholar 

  8. A. S. Bogatyrchuk, O. M. Neshchadym, and K. I. Shnerenko, “Stress concentration in spherical composite bottoms with openings,” Nauk. Pratsi Ukr. Derzh. Univ. Kharch. Tekhnol., No. 6, 52–53 (2000).

  9. A. S. Bogatyrchuk and K. I. Shnerenko, “Application of the finite-element method to the design of a transversally isotropic cylindrical shell with an opening,” Prikl. Mekh., 23, No. 9, 125–128 (1987).

    Google Scholar 

  10. A. S. Bogatyrchuk, K. I. Shnerenko, and E. U. Dadamukhamedov, “Theoretical and experimental studies of the stress concentration in cylindrical shells with openings,” Nauk. Pratsi Ukr. Derzh. Univ. Kharch. Tekhnol., No. 6, 51–52 (2000).

  11. V. V. Vorobei, “Study of the deformability of glass-fiber-reinforced plastic shells stiffened near the openings,” Prikl. Mekh., 15, No. 1, 82–85 (1979).

    Google Scholar 

  12. S. P. Gavelya and I. A. Davydov, “Stress-strain analysis of orthotropic shallow shells with openings, “ in: The Stability and Strength of Structural Elements [in Russian], Izd. Dnepropetrovskogo Univ., Dnepropetrovsk (1973), pp. 176–183.

    Google Scholar 

  13. O. V. Galushchak, “The stress state of glass-fiber-reinforced plastic shells of revolution of variable thickness with a stiffened opening,” in: The Stability and Deformability of Composite Structural Elements [in Russian], Naukova Dumka, Kiev (1972), pp. 49–54.

    Google Scholar 

  14. O. V. Galushchak and I. K. Koshevoi, “The stress state near a circular opening in orthotropic spherical shells with a linearly variable thickness,” Mekh. Polim., No. 2, 294–298 (1974).

    Google Scholar 

  15. V. P. Georgievskii, A. N. Guz', V. A. Maksimyuk, and I. S. Chernyshenko, “Numerical analysis of the nonlinearly elastic state near openings in orthotropic ellipsoidal shells,” Prikl. Mekh., 25, No. 12, 47–52 (1989).

    Google Scholar 

  16. V. P. Georgievskii, V. A. Maksimyuk, and I. S. Chernyshenko, “Reinforcement of the periphery of an opening in orthotropic physically nonlinear shells of revolution,” Prikl. Mekh., 23, No. 6, 125–127 (1987).

    Google Scholar 

  17. V. F. Godzula, “Application of the variational-difference method to the design of composite cylindrical shells with openings,” Prikl. Mekh., 25, No. 11, 110–113 (1989).

    Google Scholar 

  18. V. F. Godzula, A. N. Guz', and K. I. Shnerenko, “Static problems of deep anisotropic shells with openings,” Prikl. Mekh., 24, No. 9, 22–30 (1988).

    Google Scholar 

  19. V. F. Godzula and K. I. Shnerenko, “Influence of the heterogeneity of the material on the stress state near an opening in an orthotropic spherical shell,” Dop. Akad. Nauk Ukr. SSR, Ser. A, No. 7, 42–45 (1989).

  20. V. F. Godzula and K. I. Shnerenko, “The stress state of a composite cylindrical shell with an elliptic opening,” Prikl. Mekh., 29, No. 11, 57–62 (1993).

    Google Scholar 

  21. L. I. Golub, V. A. Maksimyuk, and I. S. Chernyshenko, “The nonlinearly elastic state near an elliptic opening in an orthotropic spherical shell,” Prikl. Mekh., 29, No. 4, 39–45 (1993).

    Google Scholar 

  22. Ya. M. Grigorenko, “Some approaches to the simulation and numerical solution of problems on the deformation of flexible shells of revolution,” Prikl. Mekh., 29, No. 7, 3–9 (1993).

    Google Scholar 

  23. Ya. M. Grigorenko, A. T. Vasilenko, N. N. Kryukov, and T. V. Kryzhanovskaya, “Numerical analysis of the nonlinear deformation of a laminated fiberglass spherical high-pressure vessel,” Prikl. Mekh., 23, No. 11, 27–32 (1987).

    Google Scholar 

  24. Ya. M. Grigorenko and N. N. Kryukov, “Solution of linear and nonlinear problems of the theory of shells and plates by the method of lines,” Prikl. Mekh., 29, No. 4, 3–11 (1993).

    Google Scholar 

  25. Ya. M. Grigorenko and A. M. Timonin, “The stress state of laminated shells of revolution in view of geometrical nonlinearity and shear,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 9, 46–50 (1980).

  26. O. M. Guz, “The stress concentration near a circular opening in a spherical anisotropic shell,” Prykl. Mekh., 7, No. 4, 427–431 (1961).

    Google Scholar 

  27. O. M. Guz, “The axisymmetric deformation of shallow orthotropic shells of revolution,” Dop. Akad. Nauk Ukr. SSR, No. 8, 1044–1047 (1962).

  28. O. M. Guz, “The stress concentration near a circular opening stiffened with a rigid branch pipe in a cylindrical orthotropic shell,” Dop. Akad. Nauk Ukr. SSR, No. 12, 1594–1597 (1962).

  29. A. N. Guz, “Approximate solutions of some problems on the stress concentration near openings in isotropic and orthotropic shells,” in: The Theory of Shells and Plates [in Russian], Izd. Akad. Nauk Arm. SSR, Yerevan (1964), pp. 431–436.

    Google Scholar 

  30. A. N. Guz, N. N. Indiaminov, and K. I. Shnerenko, “A method for analysis of the stress concentration near openings in a conic composite shell,” Prikl. Mekh., 23, No. 7, 31–37 (1987).

    Google Scholar 

  31. A. N. Guz, P. Z. Lugovoi, and N. A. Shul'ga, Conic Shells Weakened by Openings [in Russian], Naukova Dumka, Kiev (1976).

    Google Scholar 

  32. A. N. Guz, A. G. Makarenkov, and I. S. Chernyshenko, The Strength of a Solid Rocket Motor [in Russian], Mashinostroenie, Moscow (1980).

    Google Scholar 

  33. A. N. Guz, I. S. Chernyshenko, V. P. Georgievskii, and V. A. Maksimyuk, “The stress state of thin-walled structural elements made of nonlinearly elastic orthotropic composites,” Prikl. Mekh., 24, No. 4, 25–32 (1988).

    Google Scholar 

  34. A. N. Guz, I. S. Chernyshenko, Val. N. Chekhov, Vik. N. Chekhov, and K. I. Shnerenko, “Study on the theory of thin shells with openings,” Prikl. Mekh., 15, No. 11, 3–37 (1979).

    Google Scholar 

  35. A. N. Guz, I. S. Chernyshenko, and K. I. Shnerenko, Spherical Bottoms Weakened by Openings [in Russian], Naukova Dumka, Kiev (1970).

    Google Scholar 

  36. A. N. Guz and K. I. Shnerenko, “The stress concentration near openings in shells made of a material with a small shear modulus,” Prikl. Mekh., 6, No. 8, 15–23 (1970).

    Google Scholar 

  37. A. N. Guz and K. I. Shnerenko, “Thin composite shells weakened by openings,” Mekh. Komp. Mater., No. 5, 819–834 (1979).

    Google Scholar 

  38. A. N. Guz, K. I. Shnerenko, and M. A. Ryndyuk, A Technique for Computer Solution of Problems on the Stress State of Composite Shells with Openings [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  39. B. F. Gusakov, I. P. Dimitrienko, O. M. Kutepov, and V. Ya. Pavlov, “Experimental investigation of the stress state of an orthotropic cylindrical shell with a circular opening,” Sb. Tr. Vsesoyuz. Zaoch. Politekh. Inst., 59, 22–24 (1970).

    Google Scholar 

  40. V. G. Dmitriev and I. N. Preobrazhensky, “Deformation of flexible shells with openings,” Mekh. Tverd. Tela, No. 1, 177–184 (1988).

  41. I. P. Ermakovskaya, “Influence of the physical nonlinearity and orthotropy on the stress distribution near openings in a conic shell,” Prikl. Mekh., 27, No. 10, 77–83 (1991).

    Google Scholar 

  42. I. P. Ermakovskaya, V. A. Maksimyuk, and I. S. Chernyshenko, Nonlinearly Elastic Two-Dimensional Static Problems for Orthotropic Thin Shells and a Technique for Their Solution [in Russian], Manuscript No. 7526-V88 deposited at VINITI 10.05.88, Kiev (1988).

  43. G. I. Zabiyaka, “The stress concentration near a stiffened opening in a spherical multilayered nonsymmetric shell,” in: The Dynamics and Strength of Mining Machines [in Russian], Issue 3, (1975), pp. 42–45.

  44. G. I. Zabiyaka and V. I. Konokh, “The stress state of a multilayer nonsymmetric spherical shell with an opening,” in: The Hydroaeromechanics and Theory of Buildings, Issue 18, (1974), pp. 119–121.

  45. G. I. Zabiyaka and A. P. Prusakov, “The stress concentration in multilayered shells of nonsymmetric structure,” Prikl. Mekh., 10, No. 6, 11–42 (1974).

    Google Scholar 

  46. O. N. Ivanov, “The stress state of an axisymmetrically heated orthotropic bottom weakened by a circular opening,” Prikl. Mekh., 1, No. 10, 127–132 (1965).

    Google Scholar 

  47. N. N. Indiaminov, “Study of the stress concentration near openings in a conic composite shell,” Prikl. Mekh., 25, No. 16, 114–117 (1989).

    Google Scholar 

  48. N. N. Indiaminov and K. I. Shnerenko, “Influence of anisotropy on the stress concentration near an opening in a conic shell,” Teor. Prikl. Mekh., 22, 63–67 (1991).

    Google Scholar 

  49. V. G. Karnaukhov, “The stress concentration near a circular opening in a spherical anisotropic shell,” Prykl. Mekh., 8, No. 6, 679–682 (1962).

    Google Scholar 

  50. Ya. F. Kayuk, Geometrically Nonlinear Problems of the Theory of Plates and Shells [in Russian], Naukova Dumka, Kiev (1987).

    Google Scholar 

  51. Ya. F. Kayuk and M. K. Alekseeva, “The stress state of polymeric flexible shells with an opening,” Mekh. Polim., No. 6, 1071–1075 (1973).

  52. I. F. Kirichok and V. G. Karnaukhov, “The viscoelastic behavior of flexible shallow shells,” Prikl. Mekh., 12, No. 7, 11–17 (1976).

    Google Scholar 

  53. V. G. Kichigin and T. A. Yurchenko, “An orthotropic cylindrical shell with a doubly periodic system of openings,” Tr. Nikolaevskogo Korablestr. Inst., 90, 135–142 (1974).

    Google Scholar 

  54. M. S. Kornishin and M. M. Suleimanova, “Geometrically and physically nonlinear bending of shallow shells of different shapes under the concurrent action of temperature and external forces,” Probl. Prochn., No. 12, 80–83 (1983).

    Google Scholar 

  55. N. N. Kryukov and T. V. Kryzhanovskaya, “The axisymmetric nonlinear deformation of elastic systems consisting of anisotropic shells of revolution,” Prikl. Mekh., 26, No. 1, 44–48 (1990).

    Google Scholar 

  56. N. N. Kryukov and T. V. Kryzhanovskaya, “The postcritical deformation of flexible laminated shells of revolution under combined loading,” Prikl. Mekh., 26, No. 9, 60–66 (1990).

    Google Scholar 

  57. P. Z. Lugovoi, “The stress concentration near an opening in an anisotropic conic shell,” Dop. Akad. Nauk Ukr. SSR, Ser. A, 319–322 (1978).

  58. P. Z. Lugovoi, “Influence of orthotropy on the stress distribution near an opening in a conic shell,” Prikl. Mekh., 15, No. 6, 119–123 (1979).

    Google Scholar 

  59. P. Z. Lugovoi and M. A. Ryndyuk, “Study of the stress distribution near openings in an orthotropic conic shell,” Prikl. Mekh., 12, No. 3, 34–39 (1976).

    Google Scholar 

  60. E. I. Lun’ and A. A. Syas'kii, “Influence of lateral shears on the stress state of a cylindrical shell with a circular opening,” Probl. Prochn., No. 3, 70–72 (1972).

    Google Scholar 

  61. E. I. Lun’ and A. A. Syas'kii, “Determination of the stress state near a curvilinear opening in a transversally isotropic shell,” Izv. Akad. Nauk Arm. SSR, Mekh., 26, No. 3, 64–70 (1973).

    Google Scholar 

  62. V. A. Maksimyuk, “Mathematical simulation of the nonlinearly elastic deformation of orthotropic composite shells,” Probl. Upravl. Inform., No. 2, 149–151 (1998).

  63. V. A. Maksimyuk, “Numerical solution of physically nonlinear problems on the stress concentration in shells with curvilinear boundaries,” Dop. NAN Ukrainy, No. 12, 68–71 (1998).

  64. V. A. Maksimyuk, S. A. Silivra, and I. S. Chernyshenko, “The stress distribution in orthotropic shells of revolution with regard for nonlinear factors,” Teor. Prikl. Mekh., 18, 72–76 (1987).

    Google Scholar 

  65. V. A. Maksimyuk, S. A. Silivra, and I. S. Chernyshenko, “The stress state of orthotropic thin shells in view of geometrical and physical nonlinearities,” Prikl. Mekh., 24, No. 8, 41–46 (1988).

    Google Scholar 

  66. V. A. Maksimyuk, E. A. Storozhuk, and I. S. Chernyshenko, “The nonlinearly elastic state of thin-walled structural elements made of orthotropic composites,” in: Proc. 1st All-Union Conf. on Technological Problems of Strength of Load-Carrying Structures [in Russian], Vol. 1, Part 1, Zaporozh'e (1991), pp. 138–142.

    Google Scholar 

  67. V. A. Maksimyuk and I. S. Chernyshenko, “Influence of the physical nonlinearity and orthotropy of materials on the stress distribution near openings in spherical shells,” Prikl. Mekh., 22, No. 10, 8–12 (1986).

    Google Scholar 

  68. V. A. Maksimyuk and I. S. Chernyshenko, “Physically nonlinear axisymmetric problems of the theory of orthotropic shells of revolution of variable thickness,” Prikl. Mekh., 23, No. 11, 44–48 (1987).

    Google Scholar 

  69. V. A. Maksimyuk and I. S. Chernyshenko, “Numerical solution of problems for shells of variable rigidity with regard for lateral shears,” Prikl. Mekh., 27, No. 3, 59–62 (1991).

    Google Scholar 

  70. V. A. Maksimyuk and I. S. Chernyshenko, “Study of the stress state near an opening in orthotropic cylindrical shells with regard for the nonlinearly elastic properties of materials,” Prikl. Mekh., 27, No. 10, 73–77 (1991).

    Google Scholar 

  71. V. A. Maksimyuk and I. S. Chernyshenko, “Numerical solution of boundary-value problems of the theory of thin shells with curvilinear openings,” Teor. Prikl. Mekh., 30, 117–126 (1999).

    Google Scholar 

  72. V. A. Maksimyuk and I. S. Chernyshenko, “Numerical analysis of the performance of the theories of thin and nonthin shells in stress-concentration problems,” Teor. Prikl. Mekh., 31, 31–37 (2000).

    Google Scholar 

  73. A. N. Guz, I. S. Chernyshenko, V. N. Chekhov et al., The Theory of Thin Shells Weakened by Openings, Vol. 1 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kiev (1980).

    Google Scholar 

  74. A. N. Guz, Ya. M. Grigorenko, I. Yu. Babich et al., Mechanics of Structural Elements, Vol. 2 of the three-volume series The Mechanics of Composites and Structural Elements [in Russian], Naukova Dumka, Kiev (1982).

    Google Scholar 

  75. A. N. Guz, A. S. Kosmodamianskii, and V. P. Shevchenko (eds.), Stress Concentration, Vol. 7 of the 12-volume series The Mechanics of Composites [in Russian], A.S.K. Publ., Kiev (1998).

  76. V. N. Milyutin, O. N. Ivanov, and Yu. I. Kudishin, “The stress concentration in glass-fiber-reinforced plastic cylindrical shells with several circular openings under forces applied inside the openings,” Khim. Mashinostr., 2, 120–125 (1974).

    Google Scholar 

  77. V. N. Milyutin, Yu. I. Kudishin, and O. N. Ivanov, “The stress concentration in glass-fiber-reinforced plastic cylindrical shells with several circular openings,” Tr. Mosk. Inst. Khim. Mashinostr., 47, 83–93 (1972).

    Google Scholar 

  78. A. P. Mukoed, “Stress concentration in anisotropic and laminated shells of revolution,” Prikl. Mekh., 2, No. 11, 37–46 (1966).

    Google Scholar 

  79. A. P. Mukoed, “The stress state near a circular opening in a cylindrical orthotropic shell,” Prikl. Mekh., 6, No. 1, 26–31 (1970).

    Google Scholar 

  80. A. P. Mukoed, A. V. Chigirinskii, and N. A. Shul'ga, “Thermal stresses in an orthotropic cylindrical shell weakened by a circular opening,” Tepl. Napryazh. Élem. Konstr., 11, 73–76 (1971).

    Google Scholar 

  81. N. Kh. Noraliev, “The stress state of an orthotropic spherical shell weakened by two circular openings,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 8, 47–50 (1990).

  82. N. Kh. Noraliev and K. I. Shnerenko, “Design of an orthotropic spherical shell with two openings,” Prikl. Mekh., 27, No. 12, 45–51 (1991).

    Google Scholar 

  83. V. I. Ozerov, “Study of the stress state near a stiffened opening in an orthotropic cylindrical shell,” Prikl. Mekh., 9, No. 9, 82–86 (1973).

    Google Scholar 

  84. L. L. Osaulenko and V. I. Savchenko, “The stress concentration near circular openings in multilayered shells,” in: Geometrical Methods of Strain and Stress Analysis [in Russian], Part 2, Izd. Chelyabinskogo Politekh. Inst., Chelyabinsk (1975), pp. 23–25.

    Google Scholar 

  85. B. L. Pelekh, “Some issues of the theory and design of anisotropic shells and plates with low shear rigidity,” Mekh. Polim., No. 4, 693–714 (1970).

  86. B. L. Pelekh, The Theory of Shells with Finite Shear Rigidity [in Russian], Naukova Dumka, Kiev (1973).

    Google Scholar 

  87. B. L. Pelekh and A. Yu. Gleba, “One new approach to the optimal reinforcement of openings in transversally isotropic shells,” Mekh. Polim., No. 6, 1065–1070 (1978).

    Google Scholar 

  88. B. L. Pelekh and E. I. Lun', “The stress concentration near openings in transversally isotropic shells,” Mekh. Polim., No. 6, 1076–1081 (1970).

    Google Scholar 

  89. B. L. Pelekh and B. N. Polevoi, “The resolvent thermoelastic equations of transversally isotropic shells in complex form and their applications to stress-concentration problems,” Prikl. Mekh., 13, No. 7, 22–27 (1977).

    Google Scholar 

  90. B. L. Pelekh and A. A. Syas'kii, The Stress Distribution near Openings in Shear Compliant Anisotropic Shells [in Russian], Naukova Dumka, Kiev (1975).

    Google Scholar 

  91. B. L. Pelekh, A. A. Syas'kii, and V. A. Syas'kii, “The stress state of a transversal spherical shell with a curvilinear inclusion,” Mat. Metody Fiz.-Mekh. Polya, 6, 49–53 (1977).

    Google Scholar 

  92. I. Z. Petrushenko, V. A. Maksimyuk, and I. S. Chernyshenko, “The physically nonlinear deformation of an orthotropic cylindrical shell with a circular opening,” Prikl. Mekh., 24, No. 10, 41–46 (1988).

    Google Scholar 

  93. I. M. Pirogov and F. I. Selitskii, “Bending of a cantilever cylindrical shell made of fiberglass and weakened by a circular opening,” Mekh. Polim., No. 1, 152–157 (1970).

    Google Scholar 

  94. I. M. Pirogov, V. P. Yumatov, and S. M. Kutepov, “Experimental investigation of stresses near a rectangular opening in a glass-fiber-reinforced plastic cylindrical shell,” Sb. Tr. Vsesoyuz. Zaochn. Politekh. Inst., 81, 189–196 (1973).

    Google Scholar 

  95. L. P. Pytel', “Torsion of an orthotropic cylindrical shell weakened by an opening,” Sb. Tr. Vsesoyuz. Zaochn. Politekh. Inst., 59, 90–93 (1970).

    Google Scholar 

  96. L. P. Pytel', “Experimental investigation of the stress state near an opening in a cylindrical fiberglass shell under torsion,” Sb. Tr. Vsesoyuz. Zaochn. Politekh. Inst., 81, 197–202 (1973).

    Google Scholar 

  97. L. P. Pytel’ and V. G. Kukushkin, “The stress concentration near an opening on the surface of an orthotropic cylindrical shell,” Prikl. Mekh., 9, No. 3, 114–117 (1973).

    Google Scholar 

  98. A. S. Rakin and V. N. Ivashkevich, “Experimental investigation of orthotropic cylindrical shells with openings,” Tr. Novisibirskogo Inst. Inzhen. Zheleznodor. Transp., 137, 316–322 (1972).

    Google Scholar 

  99. G. N. Savin, A. S. Kosmodamianskii, and A. N. Guz', “The stress concentration near openings,” Prikl. Mekh., 3, No. 10, 21–37 (1967).

    Google Scholar 

  100. G. N. Savin and B. L. Pelekh, “The stress concentration near openings in plates and shells in view of phenomena due to lateral-shear strains,” Prikl. Mekh., 7, No. 2, 3–11 (1971).

    Google Scholar 

  101. V. A. Salo, “The stress-strain state of an orthotropic cylindrical shell with circular openings,” Izv. Vuzov, Mashinostr. No. 7, 5–8 (1977).

  102. A. A. Syas'kii, “The stress concentration in a piecewise-homogeneous orthotropic spherical shell with a curvilinear opening,” Prikl. Mekh., 14, No. 4, 132–136 (1978).

    Google Scholar 

  103. A. A. Syas'kii and E. I. Lun', “The stress distribution near a stiffened opening in an orthotropic spherical shell,” Mekh. Polim., No. 5, 879–883 (1973).

    Google Scholar 

  104. A. A. Syas'kii and D. I. Yarema, “Elastic analysis of an orthotropic spherical shell with a stiffened circular opening,” Mekh. Polim., No. 4, 756–760 (1974).

    Google Scholar 

  105. A. M. Timonin, “Stress analysis of pressure balloons manufactured by the winding technique,” Prikl. Mekh., 17, No. 3, 61–67 (1981).

    Google Scholar 

  106. I. Yu. Khoma and M. V. Begin, “The stress state of a shallow spherical shell with a circular opening under forces specified on its periphery,” Izv. Vuzov, Mashinostr., No. 6, 12–13 (1971).

  107. A. N. Guz, I. S. Chernyshenko, V. N. Chekhov et al., Cylindrical Shells Weakened by Openings [in Russian], Naukova Dumka, Kiev (1974).

    Google Scholar 

  108. I. A. Tsurpal and N. G. Tamurov, Design of Multiply Connected Laminated and Nonlinearly Elastic Plates and Shells [in Russian], Vys. Shkola, Kiev (1977).

    Google Scholar 

  109. I. A. Tsurpal and G. G. Kuliev, “Physically nonlinear problems of stress concentration (review),” Prikl. Mekh., 10, No. 7, 3–22 (1974).

    Google Scholar 

  110. I. S. Chernyshenko, “The nonlinear deformation of isotropic and orthotropic shells with openings reinforced with an elastic rigid element,” Prikl. Mekh., 25, No. 1, 65–71 (1989).

    Google Scholar 

  111. I. S. Chernyshenko and V. A. Maksimyuk, “The physically nonlinear deformation of orthotropic shells of revolution,” Prikl. Mekh., 22, No. 1, 52–56 (1986).

    Google Scholar 

  112. I. S. Chernyshenko and V. A. Maksimyuk, “Nonlinear static problems of orthotropic shells with lateral-shear strains,” Prikl. Mekh., 25, No. 8, 71–76 (1989).

    Google Scholar 

  113. K. I. Shnerenko, “Solving problems on a deep spherical shell made of a material with a small shear modulus,” Dop. Akad. Nauk Ukr. SSR, Ser. A, No. 2, 1112–1115 (1970).

  114. K. I. Shnerenko, “The stress concentration near an opening in an orthotropic laminated cylindrical shell,” Prikl. Mekh., 6, No. 6, 105–108 (1970).

    Google Scholar 

  115. K. I. Shnerenko, “Influence of shear strains on the stress state of a spherical shell weakened by openings,” Prikl. Mekh., 7, No. 3, 21–27 (1971).

    Google Scholar 

  116. K. I. Shnerenko, “The stress state of multilayer anisotropic shells with openings,” Prikl. Mekh., 7, No. 10, 57–61 (1971).

    Google Scholar 

  117. K. I. Shnerenko, “The axisymmetric state of an anisotropic spherical shell with an opening,” Dop. Akad. Nauk Ukr. SSR, Ser. A, No. 2, 178–181 (1971).

  118. K. I. Shnerenko, “Influence of the anisotropy of the material on the stress state of a cylindrical shell with an opening,” Prikl. Mekh., 10, No. 1, 124–126 (1974).

    Google Scholar 

  119. K. I. Shnerenko, “Stress analysis of a cylindrical orthotropic shell with a stiffened opening,” Dop. Akad. Nauk Ukr. SSR, Ser. A, No. 5, 429–432 (1974).

  120. K. I. Shnerenko, “Solving static problems for anisotropic shells of variable thickness weakened by openings,” Prikl. Mekh., 15, No. 12, 51–58 (1979).

    Google Scholar 

  121. K. I. Shnerenko, “Analysis of design models for composite shells with openings,” Prikl. Mekh., 17, No. 4, 24–30 (1981).

    Google Scholar 

  122. K. I. Shnerenko, “Features of the analysis of the stress concentration near openings in composite shells and plates,” Soprot. Mater. Teor. Sooruzh., Issue 39, 63–66 (1981).

  123. K. I. Shnerenko, “The stress concentration near stiffened openings in composite shells,” Prikl. Mekh., 25, No. 1, 88–93 (1989).

    Google Scholar 

  124. K. I. Shnerenko and V. V. Konovalenko, “Experimental investigation of the stress distribution near openings in a glass-fiber-reinforced plastic cylindrical shell,” Prikl. Mekh., 12, No. 3, 114–117 (1976).

    Google Scholar 

  125. K. I. Shnerenko and N. Kh. Noraliev, “Design of an orthotropic cylindrical shell with two openings by the finite-element method,” Prikl. Mekh., 26, No. 12, 105–108 (1990).

    Google Scholar 

  126. K. I. Shnerenko and N. Kh. Noraliev, “The stress concentration near two unequal openings in an orthotropic spherical shell,” Dop. Akad. Nauk Ukr. SSR, Ser. A, No. 4, 48–52 (1991).

  127. K. I. Shnerenko and N. Kh. Noraliev, “The stress concentration near two unequal openings in an orthotropic composite cylindrical shell,” Dokl. Akad. Nauk Uzb. SSR, No. 5, 20–22 (1991).

  128. K. I. Shnerenko, N. Kh. Noraliev, and A. Abdurashidov, “The stress state in a cylindrical shell weakened by two unequal openings,” Probl. Prochn., No. 9, 34–38 (1992).

  129. N. A. Shul'ga and P. Z. Lugovoi, “The elastic equilibrium of an orthotropic conic shell with a circular opening,” Prikl. Mekh., 10, No. 2, 27–32 (1974).

    Google Scholar 

  130. A. S. Bogatyrchuk and K. I. Shnerenko, “The stress concentration around two holes in a cylindrical composite shell,” Int. Appl. Mech., 34, No. 6, 565–569 (1998).

    Google Scholar 

  131. W. B. Charles and H. F. Philip, “Composite material mechanics: structural mechanics,” ATAA J., 12, No. 9, 35–45 (1974).

    Google Scholar 

  132. I. S. Chernyshenko and V.A. Maksimyuk, “On the stress-strain state of toroidal shells of elliptical cross section formed from nonlinear elastic orthotropic materials,” Int. Appl. Mech., 36, No. 1, 90–97 (2000).

    Google Scholar 

  133. F. Erdogan, M. Ratwani, and U. Viiceoglu, “On the effect of orthotropy in a cracked cylindrical shell,” Int. J. Fract., 10, No. 3, 364–374 (1974).

    Google Scholar 

  134. V. A. Maksimyuk, “Investigating the nonlinearly elastic state of orthotropic shells of revolution on the basis of flow theory,” Int. Appl. Mech., 34, No. 8, 786–788 (1998).

    Google Scholar 

  135. V. A. Maksimyuk, “Solution of physically nonlinear problems of the theory of orthotropic shells using mixed functionals,” Int. Appl. Mech., 36, No. 10, 1031–1036 (2000).

    Google Scholar 

  136. W. A. Nash and C. F. Stribner, “Strain concentrations around a hole in an anisotropic shell,” in: Proc. 3th Can. Congr. Appl. Mech. (Fredericton, 1975), Pergamon Press, New York (1975), pp. 63–64.

    Google Scholar 

  137. M. J. Sundaresan, “Stress concentration around circular cutouts in laminated composite cylindrical shells. Experimental investigation and finite element analysis,” J. Aeronout. Soc. India, 35, No. 1, 13–22 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guz, A.N., Chernyshenko, I.S. & Shnerenko, K.I. Stress Concentration Near Openings in Composite Shells. International Applied Mechanics 37, 139–181 (2001). https://doi.org/10.1023/A:1011316421387

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1011316421387

Keywords

Navigation