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
Similar content being viewed by others
REFERENCES
N. A. Alfutov, P. A. Zinov'ev, and B. G. Popov, Design of Multilayer Composite Plates and Shells [in Russian], Mashinostroenie, Moscow (1984).
Yu. A. Ashmarin, “Stress concentration near a circular opening in an orthotropic cylindrical shell,” Prikl. Mekh., 2, No. 2, 44–48 (1966).
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.
Yu. A. Ashmarin, “The stress state near a circular opening in an orthotropic cylindrical shell,” Prikl. Mekh., 2, No. 7, 22–26 (1966).
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.
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).
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).
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).
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).
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).
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).
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.
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.
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
O. M. Guz, “The stress concentration near a circular opening in a spherical anisotropic shell,” Prykl. Mekh., 7, No. 4, 427–431 (1961).
O. M. Guz, “The axisymmetric deformation of shallow orthotropic shells of revolution,” Dop. Akad. Nauk Ukr. SSR, No. 8, 1044–1047 (1962).
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).
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.
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).
A. N. Guz, P. Z. Lugovoi, and N. A. Shul'ga, Conic Shells Weakened by Openings [in Russian], Naukova Dumka, Kiev (1976).
A. N. Guz, A. G. Makarenkov, and I. S. Chernyshenko, The Strength of a Solid Rocket Motor [in Russian], Mashinostroenie, Moscow (1980).
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).
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).
A. N. Guz, I. S. Chernyshenko, and K. I. Shnerenko, Spherical Bottoms Weakened by Openings [in Russian], Naukova Dumka, Kiev (1970).
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).
A. N. Guz and K. I. Shnerenko, “Thin composite shells weakened by openings,” Mekh. Komp. Mater., No. 5, 819–834 (1979).
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).
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).
V. G. Dmitriev and I. N. Preobrazhensky, “Deformation of flexible shells with openings,” Mekh. Tverd. Tela, No. 1, 177–184 (1988).
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).
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).
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.
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.
G. I. Zabiyaka and A. P. Prusakov, “The stress concentration in multilayered shells of nonsymmetric structure,” Prikl. Mekh., 10, No. 6, 11–42 (1974).
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).
N. N. Indiaminov, “Study of the stress concentration near openings in a conic composite shell,” Prikl. Mekh., 25, No. 16, 114–117 (1989).
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).
V. G. Karnaukhov, “The stress concentration near a circular opening in a spherical anisotropic shell,” Prykl. Mekh., 8, No. 6, 679–682 (1962).
Ya. F. Kayuk, Geometrically Nonlinear Problems of the Theory of Plates and Shells [in Russian], Naukova Dumka, Kiev (1987).
Ya. F. Kayuk and M. K. Alekseeva, “The stress state of polymeric flexible shells with an opening,” Mekh. Polim., No. 6, 1071–1075 (1973).
I. F. Kirichok and V. G. Karnaukhov, “The viscoelastic behavior of flexible shallow shells,” Prikl. Mekh., 12, No. 7, 11–17 (1976).
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).
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).
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).
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).
P. Z. Lugovoi, “The stress concentration near an opening in an anisotropic conic shell,” Dop. Akad. Nauk Ukr. SSR, Ser. A, 319–322 (1978).
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).
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).
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).
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).
V. A. Maksimyuk, “Mathematical simulation of the nonlinearly elastic deformation of orthotropic composite shells,” Probl. Upravl. Inform., No. 2, 149–151 (1998).
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).
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).
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).
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.
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
A. P. Mukoed, “Stress concentration in anisotropic and laminated shells of revolution,” Prikl. Mekh., 2, No. 11, 37–46 (1966).
A. P. Mukoed, “The stress state near a circular opening in a cylindrical orthotropic shell,” Prikl. Mekh., 6, No. 1, 26–31 (1970).
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).
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).
N. Kh. Noraliev and K. I. Shnerenko, “Design of an orthotropic spherical shell with two openings,” Prikl. Mekh., 27, No. 12, 45–51 (1991).
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).
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.
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).
B. L. Pelekh, The Theory of Shells with Finite Shear Rigidity [in Russian], Naukova Dumka, Kiev (1973).
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).
B. L. Pelekh and E. I. Lun', “The stress concentration near openings in transversally isotropic shells,” Mekh. Polim., No. 6, 1076–1081 (1970).
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).
B. L. Pelekh and A. A. Syas'kii, The Stress Distribution near Openings in Shear Compliant Anisotropic Shells [in Russian], Naukova Dumka, Kiev (1975).
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).
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).
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).
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).
L. P. Pytel', “Torsion of an orthotropic cylindrical shell weakened by an opening,” Sb. Tr. Vsesoyuz. Zaochn. Politekh. Inst., 59, 90–93 (1970).
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).
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).
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).
G. N. Savin, A. S. Kosmodamianskii, and A. N. Guz', “The stress concentration near openings,” Prikl. Mekh., 3, No. 10, 21–37 (1967).
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).
V. A. Salo, “The stress-strain state of an orthotropic cylindrical shell with circular openings,” Izv. Vuzov, Mashinostr. No. 7, 5–8 (1977).
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).
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).
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).
A. M. Timonin, “Stress analysis of pressure balloons manufactured by the winding technique,” Prikl. Mekh., 17, No. 3, 61–67 (1981).
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).
A. N. Guz, I. S. Chernyshenko, V. N. Chekhov et al., Cylindrical Shells Weakened by Openings [in Russian], Naukova Dumka, Kiev (1974).
I. A. Tsurpal and N. G. Tamurov, Design of Multiply Connected Laminated and Nonlinearly Elastic Plates and Shells [in Russian], Vys. Shkola, Kiev (1977).
I. A. Tsurpal and G. G. Kuliev, “Physically nonlinear problems of stress concentration (review),” Prikl. Mekh., 10, No. 7, 3–22 (1974).
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).
I. S. Chernyshenko and V. A. Maksimyuk, “The physically nonlinear deformation of orthotropic shells of revolution,” Prikl. Mekh., 22, No. 1, 52–56 (1986).
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).
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).
K. I. Shnerenko, “The stress concentration near an opening in an orthotropic laminated cylindrical shell,” Prikl. Mekh., 6, No. 6, 105–108 (1970).
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).
K. I. Shnerenko, “The stress state of multilayer anisotropic shells with openings,” Prikl. Mekh., 7, No. 10, 57–61 (1971).
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).
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).
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).
K. I. Shnerenko, “Solving static problems for anisotropic shells of variable thickness weakened by openings,” Prikl. Mekh., 15, No. 12, 51–58 (1979).
K. I. Shnerenko, “Analysis of design models for composite shells with openings,” Prikl. Mekh., 17, No. 4, 24–30 (1981).
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).
K. I. Shnerenko, “The stress concentration near stiffened openings in composite shells,” Prikl. Mekh., 25, No. 1, 88–93 (1989).
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).
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).
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).
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).
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).
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).
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).
W. B. Charles and H. F. Philip, “Composite material mechanics: structural mechanics,” ATAA J., 12, No. 9, 35–45 (1974).
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).
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).
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).
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).
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.
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).
Author information
Authors and Affiliations
Rights 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
Issue Date:
DOI: https://doi.org/10.1023/A:1011316421387