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Recent developments in anisotropic h...

Grigorenko, Alexander Ya.

Recent developments in anisotropic heterogeneous shell theoryapplications of refined and three-dimensional theory.Volume IIA /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Recent developments in anisotropic heterogeneous shell theoryby Alexander Ya. Grigorenko ... [et al.].
Reminder of title:	applications of refined and three-dimensional theory.
other author:	Grigorenko, Alexander Ya.
Published:	Singapore :Springer Singapore :2016.
Description:	vii, 42 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Shells (Engineering)Mathematical models.
Online resource:	http://dx.doi.org/10.1007/978-981-10-0645-6
ISBN:	9789811006456$q(electronic bk.)

Recent developments in anisotropic heterogeneous shell theoryapplications of refined and three-dimensional theory.Volume IIA /
Recent developments in anisotropic heterogeneous shell theoryapplications of refined and three-dimensional theory.Volume IIA /[electronic resource] :by Alexander Ya. Grigorenko ... [et al.]. - Singapore :Springer Singapore :2016. - vii, 42 p. :ill., digital ;24 cm. - SpringerBriefs in applied sciences and technology,2191-530X. - SpringerBriefs in applied sciences and technology..

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.

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.

ISBN: 9789811006456$q(electronic bk.)

Standard No.: 10.1007/978-981-10-0645-6doiSubjects--Topical Terms:

282576
Shells (Engineering)
--Mathematical models.

LC Class. No.: TA660.S5

Dewey Class. No.: 624.17762

Recent developments in anisotropic heterogeneous shell theoryapplications of refined and three-dimensional theory.Volume IIA /
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505 0 $a 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.
520 $a 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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