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Recent Developments in Anisotropic Heterogeneous Shell Theory
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Recent Developments in Anisotropic Heterogeneous Shell Theory

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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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.

Produktdetaljer
Sprog: Engelsk
Sider: 42
ISBN-13: 9789811006449
Indbinding: Paperback
Udgave:
ISBN-10: 981100644X
Udg. Dato: 20 jun 2016
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 20 jun 2016
Forfatter(e) Alexander Ya. Grigorenko, Georgii G. Vlaikov, Yaroslav M. Grigorenko, Wolfgang H. Muller


Kategori Matematisk modellering


Sprog Engelsk


Indbinding Paperback


Sider 42


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 20 jun 2016


Oplagsdato 20 jun 2016

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