Recent Developments in Anisotropic Heterogeneous Shell Theory Applications of Refined and Three-dimensional Theory—Volume IIA

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 co...

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Bibliographic Details
Main Authors: Grigorenko, Alexander Ya, Müller, Wolfgang H. (Author), Grigorenko, Yaroslav M. (Author), Vlaikov, Georgii G. (Author)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2016, 2016
Edition:1st ed. 2016
Series:SpringerBriefs in Continuum Mechanics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
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
Physical Description:VII, 42 p. 10 illus online resource
ISBN:9789811006456