scholarly journals The elastic modulus reduction method for upper bound limit analysis of pressure vessels incorporating material strain hardening effect

2021 ◽  
Vol 2011 (1) ◽  
pp. 012065
Author(s):  
Yang Zhang ◽  
Jingmin Liu ◽  
Yanyan Yang
Keyword(s):  
Elastic Modulus ◽  
Strain Hardening ◽  
Upper Bound ◽  
Limit Analysis ◽  
Reduction Method ◽  
Pressure Vessels ◽  
Hardening Effect ◽  
Upper Bound Limit Analysis ◽  
Modulus Reduction

Study on the Strategy of Elastic Modulus Adjustment of the Elastic Modulus Reduction Method for Limit Analysis of Structures Containing Flaws

2010 ◽  
Vol 163-167 ◽  
pp. 655-663
Author(s):  
Wei Zhang ◽  
Li Wen Liu ◽  
Lu Feng Yang
Keyword(s):  
Elastic Modulus ◽  
Limit Analysis ◽  
High Efficiency ◽  
Reduction Method ◽  
Reference Element ◽  
Reference Stress ◽  
Integral Element ◽  
Element Bearing ◽  
Limit Analysis Method ◽  
Modulus Reduction

As a limit analysis method lately presented, the elastic modulus reduction method (EMRM) has the advantages of simplicity and high efficiency. In this paper, the strategy of elastic modulus adjustment of the EMRM is studied in order to extend the method applicable to the limit analysis of structures containing flaws (SCF). Two new algorithms of the reference element bearing ratio, reference element bearing ratio based on reference stress (REBS) and reference element bearing ratio based on integral element bearing ratio gradient (REBG), are proposed. Numerical examples show that the problems of instability and non-convergence in iterative process of limit analysis of SCF are improved, when the REBS or REBG is used in the strategy of elastic modulus adjustment of the EMRM.

Element Bearing Ratio Based Integral Safety Evaluation of Penstocks

2013 ◽  
Vol 671-674 ◽  
pp. 1604-1608
Author(s):  
Jian Wang ◽  
Wei Zhang ◽  
Jin Zhang ◽  
Wen Long Wu
Keyword(s):  
Elastic Modulus ◽  
Limit Analysis ◽  
Safety Assessment ◽  
Reduction Method ◽  
Safety Evaluation ◽  
Limit Load ◽  
Adjustment Procedure ◽  
Pressure Pipe ◽  
Element Bearing ◽  
Modulus Reduction

Though it had been employed for limit analysis and integral safety assessment of pressure pipe and vessel, most of the elastic modulus adjustment procedures were applicable to simple structures because their load multiplier was mainly determined by stress. In this paper, a series of element bearing ratio (EBR) based load multiplier algorithms are given, in which the influence of both stress and material on limit load are included. The EBR based load multiplier algorithms are investigated, and two efficient algorithms are suggested. Then the two algorithms combined with the elastic modulus adjustment procedure of elastic modulus reduction method are applied to limit analysis and integral safety assessment of penstocks.

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