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Recent Developments in Anisotropic Heterogeneous Shell Theory

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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.

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Detail Information

Series Title

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Call Number

510

Publisher

Singapore : Springer Singapore., 2016

Collation

-

Language

English

ISBN/ISSN

978-981-10-0645-6

Classification

510

Content Type

text

Media Type

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Carrier Type

-

Edition

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Subject(s)

Mathematical Modeling and Industrial Mathematics,

Specific Detail Info

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Statement of Responsibility

Alexander Ya. Grigorenko

Other Information

Cataloger

Firli

Source

https://link.springer.com/book/10.1007/978-981-10-0645-6

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