A weighted unification yield criterion and its application in analysis of burst pressure of pipe elbow

Author(s):  
Shun Hu Zhang ◽  
Jia Rong Liu ◽  
Xin Ying Liu
2011 ◽  
Vol 127 ◽  
pp. 79-84 ◽  
Author(s):  
Shun Hu Zhang ◽  
De Wen Zhao ◽  
Cai Ru Gao

With MY (mean yield) criterion, the limit load of defect-free pipe elbow under inner pressure is analyzed, and an analytical solution is first obtained. The solution shows that the limit load is a function of wall thicknesst, average radiusr, yield strength as well as curvature radiusR0. The limit load increases with the increase of the curvature radiusR0and will get the same value with the burst pressure of straight pipe ifR0→∞. The limit load calculated by the solution is compared with those based on Tresca, Mises, as well as TSS yield criteria. It is also concluded that Tresca criterion predicts a lower bound to the limit load, while TSS criterion predicts an upper bound one. However, the limit load based on the MY criterion lies just between the TSS and Tresca solutions, most notably, the MY criterion almost has the same prediction precision with Mises solution.


2016 ◽  
Vol 138 (4) ◽  
Author(s):  
Xian-Kui Zhu

This paper presents a critical comparison of the traditional strength criteria and the modern plastic flow criteria used in the structural design and integrity assessment of pressure vessels. This includes (1) a brief review of the traditional strength criteria used in the ASME Boiler and Pressure Vessel (B&PV) Code, (2) a discussion of the shortcomings of the traditional strength criteria when used to predict the burst pressure of pressure vessels, (3) an analysis of challenges, technical gaps, and basic needs to improve the traditional strength criteria, (4) a comparison of strength theories and plasticity theories for ductile materials, (5) an evaluation of available plastic flow criteria and their drawbacks in prediction of burst pressure of pressure vessels, (6) a description of a newly developed multiaxial yield criterion and its application to pressure vessels, and (7) a demonstration of experimental validation of the new plastic flow criterion when used to predict the burst pressure of thin-wall pressure vessels. Finally, recommendations are made for further study to improve the traditional strength design criteria and to facilitate utilization of the modern plastic flow criteria for pressure vessel design and analysis.


Author(s):  
Xian-Kui Zhu ◽  
Brian N. Leis

Corrosion assessment analysis and burst pressure prediction for an aged pipeline with blunt corrosion defects are essential to its integrity. It has been known that the flow stress based corrosion criteria including ASME B31G and PRCI RSTRENG are often conservative to use, but can be non-conservative in practical applications. The ultimate tensile stress based corrosion criteria such as PCORRC and LPC models largely improved the burst pressure prediction for corrosion defects, but the practice still showed certain non-conservatism of these newer models. This paper reviews and evaluates the commonly-used corrosion criteria. In order to improve the existing criteria for predicting burst pressure for long corrosion defects, three new theoretical models with consideration of strain hardening response for the corroded pipe are developed in terms of Tresca yield criterion, von Mises yield criterion, and a new multi-axial yield criterion, i.e., average shear stress yield criterion proposed recently by the present authors. The existing corrosion criteria and the proposed theoretical models are evaluated using experimental burst data for long machined defects and for long real corrosion defects removed from service. It is found that ASME B31G is over-conservative for long defects, but can be non-conservative for deep defects with intermediate lengths. RSTRENG is conservative for short defects. In contrast, PCORRC (or LPC) and the proposed ZL model predict reasonably conservative results for long corrosion defects.


2011 ◽  
Vol 399-401 ◽  
pp. 2189-2194 ◽  
Author(s):  
De Wen Zhao ◽  
Can Ming Li ◽  
Liang Yun Lan ◽  
Shun Hu Zhang

Based on GM yield criterion, the analytical solutions for shape and size of mode I crack tip plastic zone and the burst pressure for X70 pipeline steel are derived. Comparing the solutions with those based on Mises and Trasca criteria shows that under plain strain condition the area of plastic zone on GM is between Tresca and Mises solutions, and very close to Mises one. Among the areas Tresca’s is the largest and Mises is the smallest and all three zones are dumbbell shaped. However, for pipeline burst pressure based on Tresca criterion is the smallest and that on Twin shear stress criterion (TSS) is the largest, those on GM and Mises are also very close to each other and lie between Tresca and TSS results.


Meccanica ◽  
2015 ◽  
Vol 50 (8) ◽  
pp. 2123-2133 ◽  
Author(s):  
Shun Hu Zhang ◽  
Xiao Dong Chen ◽  
Xiao Nan Wang ◽  
Ji Xin Hou

Author(s):  
Ji Bao ◽  
Shulong Zhang ◽  
Wenxing Zhou ◽  
Shenwei Zhang

In this paper, three-dimensional finite element models are developed to simulate full-scale burst tests of corroded pipes containing multiple naturally occurring corrosion anomalies. Both the von Mises and Tresca yield criteria and associated flow rules are employed in finite element analysis (FEA). For the Tresca criterion, the corresponding constitutive model subroutine is developed and incorporated in the FEA. The accuracy of FEA is investigated by comparing the burst pressures observed in the tests and corresponding burst pressures predicted using FEA. The implications of using the von Mises and Tresca criteria for the accuracy of the predicted burst pressure are investigated. Sensitivity analyses are also carried out to investigate the impact on the predicted burst pressure due to the mesh density in the corroded region, characterization of the geometry of the corrosion cluster and different types of element (e.g. solid and shell elements) used in FEA. The results suggest that the Tresca criterion always underestimates the burst pressure and the von Mises yield criterion predicts the burst pressure accurately. This study demonstrates the feasibility of using high-fidelity FEA and the Tresca yield criterion to simulate full-scale burst tests of corroded pipes and therefore establish a large database of burst pressure capacities of corroded pipes that can be used to develop an accurate, practical burst pressure capacity model amenable to the pipeline integrity management practice.


2020 ◽  
Vol 148 ◽  
pp. 106498 ◽  
Author(s):  
Zhanfeng Chen ◽  
Xuyao Li ◽  
Wen Wang ◽  
He Yang ◽  
Zongfu Guo ◽  
...  

Author(s):  
Xian-Kui Zhu ◽  
Brian N. Leis

Burst pressure is the maximum load in a pipeline. Its accurate prediction is critical to the safety design, integrity assessment and operational management of the pipeline. This paper overviews the commonly-used corrosion assessment methods, including ASME B31G, Modified B31G, LPC and PCORRC criteria, and describes three theoretical solutions of burst pressure for defect-free pipes in terms of Tresca criterion, von Mises criterion and ZL criterion — a newly proposed average shear stress yield criterion and the associated flow rules. These three theoretical solutions are extended to those for corroded pipes with infinitely long corrosion defects. Followed this, an elastic-plastic finite element analysis is performed using the commercial software ABAQUS with an aim to demonstrate numerical determination of burst pressure corresponding to the Mises and ZL solutions. The corrosion assessment methods are then applied to evaluate the burst pressure for six corroded line pipes with real long corrosion defects. It is concluded that the ZL solution and the PCORRC criterion can determine reasonable and conservative predictions for corroded pipelines with very long corrosion defects.


2013 ◽  
Vol 20 (4) ◽  
pp. 11-15 ◽  
Author(s):  
Shun-hu Zhang ◽  
Cai-ru Gao ◽  
De-wen Zhao ◽  
Guo-dong Wang

2005 ◽  
Vol 33 (1) ◽  
pp. 38-62 ◽  
Author(s):  
S. Oida ◽  
E. Seta ◽  
H. Heguri ◽  
K. Kato

Abstract Vehicles, such as an agricultural tractor, construction vehicle, mobile machinery, and 4-wheel drive vehicle, are often operated on unpaved ground. In many cases, the ground is deformable; therefore, the deformation should be taken into consideration in order to assess the off-the-road performance of a tire. Recent progress in computational mechanics enabled us to simulate the large scale coupling problem, in which the deformation of tire structure and of surrounding medium can be interactively considered. Using this technology, hydroplaning phenomena and tire traction on snow have been predicted. In this paper, the simulation methodology of tire/soil coupling problems is developed for pneumatic tires of arbitrary tread patterns. The Finite Element Method (FEM) and the Finite Volume Method (FVM) are used for structural and for soil-flow analysis, respectively. The soil is modeled as an elastoplastic material with a specified yield criterion and a nonlinear elasticity. The material constants are referred to measurement data, so that the cone penetration resistance and the shear resistance are represented. Finally, the traction force of the tire in a cultivated field is predicted, and a good correlation with experiments is obtained.


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