Applications of refined and three-dimensional theory
著者
書誌事項
Applications of refined and three-dimensional theory
（Springer briefs in applied sciences and technology, . Continuum mechanics . Recent developments in anisotropic heterogeneous shell theory）
Springer, c2016
- v. 2A
- v. 2B
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注記
Includes bibliographical references
内容説明・目次
- 巻冊次
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v. 2A ISBN 9789811006449
内容説明
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.
目次
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.
- 巻冊次
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v. 2B ISBN 9789811015953
内容説明
These two-partition books present essential approaches to numerical-analytical solutions of problems in the mechanics of shells with various structures and shapes based on refined and spatial models. Further, it examines the mechanical behavior of shallow, circular and noncircular, conical, spherical, and functionally graded shells obtained by the refined model.
The book investigates the stress-strain state and free vibrations of finite-length cylinders in spatial formulation (3D elasticity theory). Further, it analyzes the influence of geometrical and mechanical parameters, of boundary conditions, and of the loading character on both the distributions of stress and displacement fields, and on the dynamical characteristics in these shells and cylinders. Lastly, it discusses in detail the validation of reliability for the results obtained by numerical calculations.
As such, it complements the first part of the book, the volume Recent Developments in Anisotropic Heterogeneous Shell Theory: Applications of Refined and Three-dimensional Theory.
目次
Solutions of dynamic problems based on the refined model.- Some solutions of stationary problems based on 3D theory.- Conclusions.
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