The elastic-plastic analysis of a thick spherical shell under thermal loading—A comparison of three numerical procedures

1977 ◽  
Vol 19 (4) ◽  
pp. 209-221 ◽  
Author(s):  
T.K. Hellen ◽  
N.G. Galluzzo ◽  
A.P. Kfouri
Keyword(s):  
Spherical Shell ◽  
Thermal Loading ◽  
Elastic Plastic ◽  
Plastic Analysis

Development of Alternate Methods for Establishing Design Margins for ASME Section VIII Division 3: Part 2

2009 ◽  
Author(s):  
Susumu Terada
Keyword(s):  
Cylindrical Shell ◽  
Spherical Shell ◽  
High Strength ◽  
Test Results ◽  
Burst Test ◽  
Elastic Plastic ◽  
Plastic Analysis ◽  
Section Viii ◽  
Lower Ratio ◽  
Design Margin

The design margin against collapse for Division 3 is based on Nadal’s equation. For high strength material this method is adequate. However for material with a lower ratio of Sy/Su this method has additional margin from yielding through the thickness to final collapse or burst. The experimental burst test results for closed-end cylinder show the excessive margin for these materials as stated in former paper. Therefore the development of alternate methods for establishing design margin for all materials is desirable. The design margin of 1.5 in equation for open-end cylindrical shell and spherical shell in current code is different from that of 1.732 for closed-end cylindrical shell. The design margin of elastic-plastic analysis is 1.732. Therefore the consistent design margins of equations and elastic-plastic analysis for open-end cylindrical shells and spherical shells are also desirable. In this paper new equations for design pressure of cylindrical shell and spherical shell are proposed by investigation of burst test results and case studies of various methods.

Elastic-Plastic Analysis of a Radially Loaded Spherical Shell

1989 ◽  
Vol 111 (1) ◽  
pp. 39-46 ◽  
Author(s):  
G. N. Brooks ◽  
C.-P. Leung
Keyword(s):  
Spherical Shell ◽  
Shallow Shell ◽  
Efficient Solution ◽  
Solution Method ◽  
Yield Condition ◽  
Computationally Efficient ◽  
Elastic Plastic ◽  
Tresca Yield Condition ◽  
Plastic Analysis ◽  
Infinite Extent

An elastic-plastic analysis of a spherical shell loaded radially through a rigid inclusion is performed. The sphere is modeled as a shallow shell of infinite extent. The Tresca yield condition is used to derive the elastic-plastic moment-curvature relationship in a simple form. This is used to develop a computationally efficient solution method.

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