Hydrostatically pressurized buckling of complete spherical shells filled with an elastic medium

Motohiro SATO; M. Ahmer WADEE; Takafumi SEKIZAWA; Kohtaroh IIBOSHI; Hiroyuki SHIMA

doi:10.2208/jscejam.67.i_15

Hydrostatically pressurized buckling of complete spherical shells filled with an elastic medium

Journal of Japan Society of Civil Engineers Ser A2 (Applied Mechanics (AM)) ◽

10.2208/jscejam.67.i_15 ◽

2011 ◽

Vol 67 (2) ◽

pp. I_15-I_22

Author(s):

Motohiro SATO ◽

M. Ahmer WADEE ◽

Takafumi SEKIZAWA ◽

Kohtaroh IIBOSHI ◽

Hiroyuki SHIMA

Keyword(s):

Elastic Medium ◽

Spherical Shells

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The Exact Solution of the Translational Acceleration of a Low Modulus Elastic Medium in Rigid Spherical Shells—Implications for Head Injury Models

Journal of Applied Mechanics ◽

10.1115/1.3423700 ◽

1975 ◽

Vol 42 (4) ◽

pp. 759-762 ◽

Cited By ~ 1

Author(s):

K. B. Chandran ◽

Y. King Liu ◽

D. U. von Rosenberg

Keyword(s):

Exact Solution ◽

Head Injury ◽

Elastic Medium ◽

Closed Head Injury ◽

Delta Function ◽

Step Function ◽

Spherical Shells ◽

Dirac Delta ◽

Low Modulus ◽

Translational Acceleration

The exact solution in the form of a finite series has been obtained for the problem of low modulus elastic medium contained in rigid spherical shells subjected to translational acceleration about its diametrical axis. Laplace transformation technique and the shifting theorem were used to obtain the Green’s functions for the potentials when the external acceleration is a Dirac delta function. The solutions are formally extended to external accelerations which are general functions of time by the convolution integral. The shear stress distribution for a unit step function acceleration is illustrated. The results obtained are used to judge the adequacy of this and other similar models for the study of closed head injury mechanism.

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Power Law of Critical Buckling in Structural Members Supported by a Winkler Foundation

Journal of Mechanics ◽

10.1017/jmech.2016.112 ◽

2016 ◽

Vol 33 (3) ◽

pp. 369-374

Author(s):

M. Sato ◽

S. Harasawa ◽

Y. Konishi ◽

T. Maruyama ◽

S. J. Park

Keyword(s):

Elastic Medium ◽

Power Law ◽

Axial Loading ◽

Elastic Buckling ◽

Winkler Foundation ◽

Structural Members ◽

Spherical Shells ◽

Buckling Modes ◽

Plates And Shells ◽

Critical Buckling Strain

AbstractIn the fields of engineering, nanoscience, and biomechanics, thin structural members, such as beams, plates, and shells, that are supported by an elastic medium are used in several applications. There is a possibility that these thin structures might buckle under severe loading conditions; higher-order, complicated elastic buckling modes can be found owing to the balance of rigidities between the thin members and elastic supports. In this study, we have shown a new and simple ‘power law’ relation between the critical buckling strain (or loads) and rigidity parameters in structural members supported by an elastic medium, which can be modelled as a Winkler foundation. The following structural members have been considered in this paper: i) a slender beam held by an outer elastic support under axial loading, ii) cylindrical shells supported by an inner elastic core under hydrostatic pressure (plane strain condition), and iii) complete spherical shells that are filled with an inner elastic medium.

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