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Title Recent developments in anisotropic heterogeneous shell theory : applications of refined and three-dimensional theory. Volume IB / Alexander Ya. Grigorenko, Wolfgang H. Müller, Yaroslav M. Grigorenko, Georgii G. Vlaikov
Published Singapore : Springer, 2016


Description 1 online resource
Series SpringerBriefs in applied sciences and technology, Continuum mechanics
SpringerBriefs in applied sciences and technology. Continuum mechanics
Contents Solutions of static problems based on the refined model -- Solutions of dynamic problems based on the refined model -- Some solutions stationary problems based on 3-D theory -- Conclusions
Summary 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
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (SpringerLink, viewed June 9, 2016)
Subject Shells (Engineering) -- Mathematical models
Shells (Engineering) -- Mathematical models.
Genre/Form Electronic books
Form Electronic book
Author Grigorenko, Alexander Ya, author
Müller, Wolfgang H., 1959- author.
Grigorenko, Yaroslav M., author
Vlaikov, Georgii G., author
ISBN 9789811006456