Recent Developments in Anisotropic Heterogeneous Shell Theory

This brief book presents solutions of stress-strain problems for a wide class of anisotropic inhomogeneous shells obtained by the refined model. Studying these problems results in severe computational difficulties due to partial differential equations with variable coefficients resulting from the constitutive relations of the original model. To solve this problem the book uses spline-collocation and discrete-orthogonalization methods. It analyses the influence of geometrical and mechanical parameters, of various kinds of boundary conditions, and of the loading conditions on the distributions of stress and displacement fields in shallow, spherical, conical, and noncircular cylindrical shells. The dependence of the stress-strain pattern on shell thickness variations is studied. The authors solve the problem also for the case of the thickness varying in two directions. They study how a variation in shell thickness influences the stress-strain state and consider noncircular cylindrical shells with elliptical and corrugated sections are considered. The results obtained during numerous calculations support the efficiency of the discrete-orthogonalization approach proposed in the monograph for solving static problems for anisotropic inhomogeneous shells when using the refined model.

• Refined Shell Theory
• 3D Elasticity Theory
• Anisotropy
• Nonhomogeneity
• Stress-Strain State
• Free Vibrations of Shells
• Cylindrical Shells
• Noncircular Cylindrical Shells
• Shallow Shells
• Conical Shells
• Spherical Shells
• Functionally Graded Shells
• Finite-Length Cylinders

• National Academy of Sciences of Ukraine, S.P. Timoshenko Institute of Mechanics, Kiev, Ukraine

  Alexander Ya. Grigorenko, Yaroslav M. Grigorenko

• Technische Universität Berlin, Institut für Mechanik, Berlin, Germany

  Wolfgang H. Müller

• National Academy Sciences of Ukraine, Technical Center, Kiev, Ukraine

  Georgii G. Vlaikov

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