scholarly journals Simulation of anyonic statistics and its topological path independence using a seven-qubit quantum simulator

2016 ◽  
Vol 18 (4) ◽  
pp. 043043 ◽  
Author(s):  
Annie Jihyun Park ◽  
Emma McKay ◽  
Dawei Lu ◽  
Raymond Laflamme
Keyword(s):  
Path Independence ◽  
Quantum Simulator

scholarly journals Path Independence of Carbon Budgets When Meeting a Stringent Global Mean Temperature Target After an Overshoot

2019 ◽  
Vol 7 (12) ◽  
pp. 1283-1295 ◽  
Author(s):  
Katarzyna B. Tokarska ◽  
Kirsten Zickfeld ◽  
Joeri Rogelj
Keyword(s):  
Carbon Budgets ◽  
Global Mean Temperature ◽  
Mean Temperature ◽  
Path Independence ◽  
Global Mean

scholarly journals Path Independence, Rationality, and Social Choice

Econometrica ◽  
1973 ◽  
Vol 41 (6) ◽  
pp. 1075 ◽  
Author(s):  
Charles R. Plott
Keyword(s):  
Social Choice ◽  
Path Independence

Numerical Calculation of Residual Stress Corrected J-Integral Using ABAQUS

2014 ◽  
Author(s):  
Xian-Kui Zhu
Keyword(s):  
Residual Stress ◽  
Finite Element ◽  
Stress Field ◽  
Residual Stresses ◽  
Stress Effect ◽  
J Integral ◽  
Residual Stress Field ◽  
Path Independence ◽  
Residual Stress Effect ◽  
Senb Specimen

Residual stresses exist in welded structures due to thermal stresses. Without temperature change, large plastic deformation can result in “cold” residual stresses in a wrinkle or dent in a metallic pipe. For a crack in residual stress field, residual stresses might have strong effect on fracture parameter, the J-integral. In order to ensure its path-independence, different correction methods have been developed in consideration of residual stress effect. Recently, the finite element commercial software ABAQUS adopted one of the correction methods, and is able to calculate the residual stress corrected J-integral. A brief review is first given to the J-integral definition, the conditions of path-independence or path-dependence, and the modifications to consider the residual stress effect. A modified single edge-notched bend (SENB) specimen is then used, and a numerical procedure is developed for ABAQUS to evaluate the path-independence of the residual stress corrected J-integral. Detailed elastic-plastic finite element analyses are performed for the SENB specimen in three-point bending. The residual stress field, crack-tip stress field, and J-integral with and without consideration of residual stresses are discussed.

Characteristics of Fracture Mechanics for Crack Tip near the Interface between Steel and Concrete in Composite Structures

2007 ◽  
Vol 348-349 ◽  
pp. 841-844 ◽  
Author(s):  
Shan Suo Zheng ◽  
Lei Li ◽  
Shun Li Che ◽  
Lei Zeng ◽  
Jie Zheng
Keyword(s):  
Composite Structure ◽  
Composite Structures ◽  
Great Influence ◽  
Crack Tip ◽  
Strain Energy Release ◽  
Schematic Model ◽  
J Integral ◽  
Mechanical Behaviors ◽  
Crack Location ◽  
Path Independence

Steel-concrete composite structures are widely used in high buildings for its excellent seismic behaviors, whereas faults or cracks, which have great influence on interfacial mechanical behaviors of structural members, inevitably form near the interface between steel and concrete during the process of molding. Therefore, it is necessary to study the mechanical characteristics of the crack tip near the interface. In this paper, the application scope of the path-independence of J-integral in steel-concrete composite structure with a crack is discussed. According to the conservation law of J-integral for the steel-concrete composite structure with a crack parallel to the interface, a hypothesis that the value of strain energy release rate (SERR) of the mode-$fracture is independent of the crack location when the crack is parallel and close to the interface is put forwarded. And this hypothesis is verified through finite element method (FEM). A schematic model for a skew crack near the steel-concrete interface is provided. The variation law of SERR with the Dundur’s parameters and the angle between crack direction and interface are calculated by FEM. At last, calculating method of the stress intensity factor as well as the SERR for a skew crack near the interface is suggested. All these may contribute to further investigation on interfacial mechanical behaviors for steel-concrete composite structure.

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