Expressions of Load and Structural Deformation Relationship for Cylindrical and Spherical Vessels Under Internal Pressure

2010 ◽  
Author(s):  
Yang-chun Deng ◽  
Gang Chen
Keyword(s):  
Internal Pressure ◽  
Large Deformation ◽  
Pressure Vessel ◽  
Small Deformation ◽  
Plastic Instability ◽  
Structural Deformation ◽  
Deformation Analysis ◽  
Large Deformation Analysis ◽  
Thin Walled ◽  
Deformation Relationship

Large deformation analysis for pressure vessel is much more complex than small deformation analysis, therefore, right now, there is no common recognized direct solution for load bearing capacity of pressure vessel yet, and this restrict the application of large deformation analysis in pressure vessel design. This paper based on elastic-plastic theory and considered material strain hardening and structural deformation effects, expressions of load and structural deformation relationship were the first time being derived for cylindrical and spherical vessels under internal pressure. And its practical value is equivalent to principal stress equations of thin-walled cylindrical and spherical vessels with considering non-linear structural deformation effect. Based on the study above and by introducing true stress-strain relationship of materials, analytical solutions of plastic instability pressure for thin-walled cylindrical and spherical vessels were derived.

Elastic-Plastic Stress Analysis of Pressure Vessels

2012 ◽  
Author(s):  
Yang-chun Deng ◽  
Gang Chen
Keyword(s):  
Internal Pressure ◽  
Stress Analysis ◽  
Strain Hardening ◽  
Pressure Vessel ◽  
Plastic Instability ◽  
Pressure Vessels ◽  
Structural Deformation ◽  
Elastic Plastic ◽  
Thin Walled ◽  
Plastic Stress

To save material, the safety factor of pressure vessel design standards is gradually decreased from 5.0 to 2.4 in ASME Boiler and Pressure Vessel Codes. So the design methods of pressure vessel should be more rationalized. Considering effects of material strain hardening and non-linear structural deformation, the elastic-plastic stress analysis is the most suitable for pressure vessels design at present. This paper is based on elastic-plastic theory and considers material strain hardening and structural deformation effects. Elastic-plastic stress analyses of pressure vessels are summarized. Firstly, expressions of load and structural deformation relationship were introduced for thin-walled cylindrical and spherical vessels under internal pressure. Secondly, the plastic instability for thin-walled cylindrical and spherical vessels under internal pressure were analysed. Thirdly, to prevent pressure vessels from local failure, the ductile fracture strain of materials was discussed.

Plane-Strain Buckling of a Crack in a Harmonic Solid Subjected to Crack-Parallel Compression

1979 ◽  
Vol 46 (3) ◽  
pp. 597-604 ◽  
Author(s):  
C. H. Wu
Keyword(s):  
Stress Intensity ◽  
Finite Number ◽  
Large Deformation ◽  
Plane Strain ◽  
Small Deformation ◽  
Deformation Analysis ◽  
Large Deformation Analysis ◽  
Large Crack ◽  
Compressive Loads

The problem is studied by using a small-deformation-superposed-on-large-deformation analysis. It is found that a crack may buckle into infinitely many modes under one of a finite number of large crack-parallel compressive loads. Also, a crack-parallel tension has the effect of stiffening the crack when coupled with a small stress-intensity-producing load.

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