For a viscoelastic clamped shallow spherical shell, the vertical deflection due to uniformly distributed external pressure is a function of time. When time reaches a critical value, the shell may snap through suddenly. This critical time depends on the magnitude of the applied pressure as well as the shell geometry. The governing equations for large deformations of viscoelastic shells can be derived by applying the correspondence principle to the equivalent equations in the elastic case. The critical times for various shells under different pressures are evaluated numerically. If the deflection volume of the shell is a constant throughout the deformation process, the external pressure decreases due to relaxation of stresses in the viscoelastic shell. This decreasing external pressure is also calculated in this paper.
Skip Nav Destination
Article navigation
June 1965
Research Papers
Axisymmetrical Creep Buckling of Clamped Shallow Spherical Shells
Nai Chien Huang
Nai Chien Huang
Division of Engineering Mechanics, Stanford University, Stanford, Calif.
Search for other works by this author on:
Nai Chien Huang
Division of Engineering Mechanics, Stanford University, Stanford, Calif.
J. Appl. Mech. Jun 1965, 32(2): 323-330 (8 pages)
Published Online: June 1, 1965
Article history
Received:
February 4, 1964
Online:
September 15, 2011
Citation
Huang, N. C. (June 1, 1965). "Axisymmetrical Creep Buckling of Clamped Shallow Spherical Shells." ASME. J. Appl. Mech. June 1965; 32(2): 323–330. https://doi.org/10.1115/1.3625802
Download citation file:
Get Email Alerts
Tuning Buckling Behaviors in Magnetically Active Structures: Topology Optimization and Experimental Validation
J. Appl. Mech (September 2023)
Related Articles
Postbuckling of Shear Deformable Geodesically Stiffened Anisotropic Laminated Cylindrical Shell Under External Pressure
J. Pressure Vessel Technol (April,2011)
Nonlinear Buckling and Postbuckling Behavior of 3D Braided Composite Cylindrical Shells Under External Pressure Loads in Thermal Environments
J. Pressure Vessel Technol (December,2009)
Creep Ovalization and Buckling of a Linear Viscoelastic Externally Pressurized Pipe
J. Pressure Vessel Technol (May,2004)
Plastic Buckling of Cones Subjected to Axial Compression and External Pressure
J. Pressure Vessel Technol (February,2013)
Related Proceedings Papers
Related Chapters
Axially Loaded Members
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels, Third Edition