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Author: M. A. SADOWSKY
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Book Description
It is shown that a stationary temperature field in a thick elastic spherical shell can be represented by a Fourier Series. The individual terms of this series are associated with displacement fields and stress fields which have been explicitly determined by the method of thermoelastic potential solutions and by Boussinesq displacement potential solutions. The resulting coefficients of superposition are tabulated. With the general thick shell solution thus available, two specializations are analyzed: membrane shells, expanding radially without any stress appearing whatsoever due to heating, shells of thickness h with perceptible bending moment formation, for which the stresses have been explicitly determined. (Author-PL).
Author: M. A. SADOWSKY
Publisher:
ISBN:
Category :
Languages : en
Pages : 1
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Book Description
It is shown that a stationary temperature field in a thick elastic spherical shell can be represented by a Fourier Series. The individual terms of this series are associated with displacement fields and stress fields which have been explicitly determined by the method of thermoelastic potential solutions and by Boussinesq displacement potential solutions. The resulting coefficients of superposition are tabulated. With the general thick shell solution thus available, two specializations are analyzed: membrane shells, expanding radially without any stress appearing whatsoever due to heating, shells of thickness h with perceptible bending moment formation, for which the stresses have been explicitly determined. (Author-PL).
Author: E. M. Barrowman
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: G. R. Cowper
Publisher:
ISBN:
Category : Spherical shells
Languages : en
Pages : 35
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Author: Megumi Sunakawa
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ISBN:
Category : Axial flow
Languages : en
Pages : 226
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Book Description
This report contains results of a theoretical and experimental investigation of the influence of residual stresses and thermal gradients on stability of shallow spherical shells. Basic equations, thermoelastic problems for spherical shells, taking a large deformation into consideration, are derived. Assuming 'damped' axisymmetrical deformation pattern, solution for the stability of spherical shell subjected to external pressure is presented. Good agreement between the theoretical and previous experimental results is obtained. The effects of residual stresses and thermal gradients on stability of spherical shells subjected to external pressure are determined. These effects are of considerable significance, and should be taken into account in application. Experiments indicating the effects of residual stresses have been performed for 'inverted' shells subjected to symmetrical and eccentric concentrated loads.
Author: Owen Hopkins Griffith
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ISBN:
Category : Cylinders
Languages : en
Pages : 168
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Author: Robert J. Kroll
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ISBN:
Category :
Languages : en
Pages : 86
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Book Description
Author: Pritam S. Kapoor
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ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 242
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Author: Frank W. Keene
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ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 294
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Book Description
"The purpose of this work is to discuss thermal stresses in closed spherical shells. This effort is further limited to linear thermoelastic stresses in "thin" shells. The basic concepts associated with three-dimensional continuum mechanics are presented in both direct and general tensor notation. The three-dimensional equations are reduced to the two-dimensional equations of shells under going finite displacements. These are subsequently reduced to those pertaining to spherical shells. A review of the recent literature associated with thermal stresses in spherical shells is included. An appendix is provided which reviews some of the basic elements of general tensors."--Abstract.
Author: H. E. Williams
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 7
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Author: H. KRAUS
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
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Book Description
A study is made of the transient response of a nonshallow spherical shell insulated at its inner surface and subjected to a suddenly applied, and subsequently constant, heat flux over its outer surface. The shell is assumed to be closed at its apex and either clamped or simply supported at its edge. Also considered is the transient response of such a shell to step changes of pressure parallel and/or perpendicular to its surface. The primary goal of the investigation is the evaluation of the effect of inertia in transient thermal stress problems involving thin shells. Heretofore, such problems have been handled by means of a quasi-static formulation in which the inertia of the shell was ignored and time entered only as a parameter from the transient temperature distribution. This becomes a special case of the present, more general, solution. Since the determination of the response of the shell to a transient mechanical load is another special case of the analysis this too will be presented. (Author).
