Elastic modulus reduction method for limit analysis of thin plate and shell structures

2010 ◽  
Vol 48 (4-5) ◽  
pp. 291-298 ◽  
Author(s):  
Bo Yu ◽  
LuFeng Yang
Keyword(s):  
Elastic Modulus ◽  
Thin Plate ◽  
Limit Analysis ◽  
Reduction Method ◽  
Shell Structures ◽  
Plate And Shell ◽  
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.

Limit Analyisis of Frame Structure Based on the Elastic Modulus Reduction Method

2014 ◽  
Vol 578-579 ◽  
pp. 950-953
Author(s):  
Qiu Hua Duan ◽  
Yan Qing Guo ◽  
Dan Dan Zeng ◽  
Yue Jing Luo
Keyword(s):  
Elastic Modulus ◽  
Reduction Method ◽  
Yield Criterion ◽  
Bending Moment ◽  
Limit Load ◽  
Frame Structure ◽  
Structure Damage ◽  
Linear Elastic ◽  
Element Bearing ◽  
Modulus Reduction

An efficient linear elastic iterative finite element method, namely, the elastic modulus reduction method is introduced to calculate limit load of frame structure. The elastic modulus reduction method defines the element bearing ratio on the basis of the generalized yield criterion and the strain energy equilibrium principle. Because the bending moment is the main factor inducing the frame structure damage, the element bearing ratio only considering the bending moment yield is proposed. Numerical examples demonstrate the applicability and precision of the elastic modulus reduction method for limit analysis of frame structures.

Discrete limit analysis of plate and shell structures

1984 ◽  
Vol 19 (1-2) ◽  
pp. 251-261 ◽  
Author(s):  
Yutaka Toi ◽  
Tadahiko Kawai
Keyword(s):  
Limit Analysis ◽  
Shell Structures ◽  
Plate And Shell
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