Bounding Solutions for a Plate Subjected to Variable Surface Temperature

1974 ◽  
Vol 41 (4) ◽  
pp. 941-946 ◽  
Author(s):  
A. R. S. Ponter ◽  
F. A. Leckie
Keyword(s):  
Surface Temperature ◽  
Pressure Vessels ◽  
Temperature History ◽  
Temperature Variations ◽  
Linear Elastic ◽  
Perfectly Plastic ◽  
Variable Surface ◽  
Cyclic Temperature ◽  
Slow Cycling ◽  
Variable Surface Temperature

The paper considers the problem of a plate subjected to constant average in-plane stresses and temperature variations through the thickness of the plate. The material is described by a linear elastic/time-hardening viscous/perfectly plastic idealization. We show that the pertinent phenomenon which occurs due to a variable cyclic temperature history may be exhibited by computing bounding solutions which correspond to very fast and very slow cycling. This problem is typical of the situation which occurs in design of nuclear fuel cans and pressure vessels.

Shakedown Loads for Pressure Vessels of Strain Hardening Materials

1969 ◽  
Vol 11 (3) ◽  
pp. 340-342 ◽  
Author(s):  
T. E. Taylor
Keyword(s):  
Strain Hardening ◽  
Power Law ◽  
Pressure Vessels ◽  
Strain Hardening Exponent ◽  
Rigid Plastic ◽  
Linear Elastic ◽  
Perfectly Plastic ◽  
Creep Analysis ◽  
Family Of Curves ◽  
The Relationship

A power law, well known in creep analysis, embodies a family of curves which express the stress-strain relations for a family of materials ranging from linear elastic to rigid perfectly plastic. A linearization of the relationship between stress concentration factor and the reciprocal of strain hardening exponent for geometrically similar pressure vessels made of materials within the family has enabled a view of shakedown in vessels of strain hardening materials to be formulated. The absence of discontinuities in the power law, except at the rigid plastic end point, results in shakedown loads dependent on strain hardening exponent and previous loading history.

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