Abstract
The stress–strain state of biconvex laminated orthotropic shells is analyzed against the degree of shallowness and the parameters of orthotropy. Numerical values of deflections and stresses are obtained by solving two-dimensional boundary-value problems using spline-functions and the discrete-orthogonalization method. The effect of the rise of shells on the displacement and stress fields is analyzed for different parameters of orthotropy
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REFERENCES
S. A. Ambartsumyan, Theory of Anisotropic Shells [in Russian], Fizmatgiz, Moscow (1961).
V. Z. Vlasov, The General Theory of Shells and Its Applications in Engineering [in Russian], Gostekhizdat, Moscow-Leningrad (1949).
Ya. M. Grigorenko, Isotropic and Anisotropic Laminated Shells of Revolution of Variable Stiffness [in Russian], Naukova Dumka, Kiev (1973).
Ya. M. Grigorenko, A. T. Vasilenko, N. G. Emel'yanov et al., Statics of Structural Members, Vol. 8 of the 12-volume series Mechanics of Composites [in Russian], A.S.K., Kiev (1999).
A. N. Guz, Ya. M. Grigorenko, I. Yu. Babich et al., Mechanics of Structural Members, Vol. 2 of the three-volume series Mechanics of Composites and Structural Members [in Russian], Naukova Dumka, Kiev (1983).
L. H. Donnel, Beams, Plates, and Shells, McGraw-Hill, New York (1976).
Yu. S. Zav'yalov, B. I. Kvasov, and V. L. Miroshnichenko, Methods of Spline Functions [in Russian], Nauka, Moscow (1980).
Kh. M. Mushtari, “Some generalizations of the theory of thin shells applied to elastic equilibrium problems,” Prikl. Mat. Mekh., 2, No. 14, 439-456 (1939).
Ya. M. Grigorenko, “Approaches to the numerical solution of linear and nonlinear problems in shell theory in classical and refined formulations,” Int. Appl. Mech., 32, No. 6, 409-442 (1996).
Ya. M. Grigorenko and N. N. Kryukov, “Solution of problems of the theory of plates and shells with spline functions (survey),” Int. Appl. Mech., 31, No. 6, 413-434 (1995).
V. G. Piskunov and A. O. Rasskazov, “Evolution of the theory of laminated plates and shells,” Int. Appl. Mech., 38, No. 2, 135-166 (2002).
A. T. Vasilenko and G. K. Sudavtsova, “Elastic equilibrium of circumferentially inhomogeneous orthotropic cylindrical shells of arbitrary thickness,” Int. Appl. Mech., 37, No. 8, 1046-1054 (2001).
I. I. Vorovich and L. P. Lebedev, “Some issues of continuum mechanics and mathematical problems in the theory of thin-walled structures,” Int. Appl. Mech., 38, No. 4, 387-398 (2002).
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Grigorenko, Y.M., Kryukov, N.N. & Ivanova, Y.I. Stress Analysis of Biconvex Laminated Orthotropic Shells that are Shallow to a Variable Degree. International Applied Mechanics 39, 688–695 (2003). https://doi.org/10.1023/A:1025745925235
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DOI: https://doi.org/10.1023/A:1025745925235