Stability of Shells of Revolution with Different Gaussian Curvature in the Field of Combined Static Loads

2021 ◽  
Author(s):  
O. I. Bespalova ◽  
N. P. Boreiko
Keyword(s):  
Gaussian Curvature ◽  
Shells Of Revolution ◽  
Static Loads

Stability of anisotropic shells of revolution of positive or negative Gaussian curvature

2010 ◽  
Vol 46 (3) ◽  
pp. 269-278
Author(s):  
A. V. Boriseiko ◽  
N. B. Zhukova ◽  
N. P. Semenyuk ◽  
V. M. Trach
Keyword(s):  
Gaussian Curvature ◽  
Shells Of Revolution ◽  
Negative Gaussian Curvature ◽  
Anisotropic Shells

Stability of Systems Composed of the Shells of Revolution with Variable Gaussian Curvature

2021 ◽  
Author(s):  
Ya. М. Grigorenko ◽  
О. І. Bespalova ◽  
N. P. Boreiko
Keyword(s):  
Gaussian Curvature ◽  
Shells Of Revolution

Nonlinear free vibration of orthotropic shallow shells of revolution under the static loads

1997 ◽  
Vol 18 (6) ◽  
pp. 585-591 ◽  
Author(s):  
Wang Yonggang ◽  
Wang Xinzhi ◽  
Song Huifang
Keyword(s):  
Free Vibration ◽  
Shells Of Revolution ◽  
Nonlinear Free Vibration ◽  
Static Loads ◽  
Shallow Shells

scholarly journals Nematic director fields and topographies of solid shells of revolution

2018 ◽  
Vol 474 (2210) ◽  
pp. 20170566 ◽  
Author(s):  
Mark Warner ◽  
Cyrus Mostajeran
Keyword(s):  
Inverse Problem ◽  
Integral Equation ◽  
Gaussian Curvature ◽  
Energy Cost ◽  
Shape Change ◽  
Mechanical Deformation ◽  
Surfaces Of Revolution ◽  
Shells Of Revolution ◽  
Director Field ◽  
Nematic Director

We solve the forward and inverse problems associated with the transformation of flat sheets with circularly symmetric director fields to surfaces of revolution with non-trivial topography, including Gaussian curvature, without a stretch elastic cost. We deal with systems slender enough to have a small bend energy cost. Shape change is induced by light or heat causing contraction along a non-uniform director field in the plane of an initially flat nematic sheet. The forward problem is, given a director distribution, what shape is induced? Along the way, we determine the Gaussian curvature and the evolution with induced mechanical deformation of the director field and of material curves in the surface (proto-radii) that will become radii in the final surface. The inverse problem is, given a target shape, what director field does one need to specify? Analytic examples of director fields are fully calculated that will, for specific deformations, yield catenoids and paraboloids of revolution. The general prescription is given in terms of an integral equation and yields a method that is generally applicable to surfaces of revolution.

Spherulite phase induction from positive Gaussian curvature in lyotropic lamellar liquid crystals

1994 ◽  
Vol 4 (6) ◽  
pp. 975-988 ◽  
Author(s):  
J. B. Fournier ◽  
G. Durand
Keyword(s):  
Liquid Crystals ◽  
Gaussian Curvature ◽  
Lamellar Liquid Crystals ◽  
Positive Gaussian Curvature

Coupled thermoelasticity of shells of revolution - Effect of normal stress and coupling

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 496-504
Author(s):  
M. R. Eslami ◽  
M. Shakeri ◽  
A. R. Ohadi ◽  
B. Shiari
Keyword(s):  
Normal Stress ◽  
Shells Of Revolution ◽  
Coupled Thermoelasticity
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