Stressed-strained state of powder being rolled in the densification zone. I. Mathematical model of rolling in the densification zone

1983 ◽  
Vol 22 (11) ◽  
pp. 882-885 ◽  
Author(s):  
V. P. Katashinskii ◽  
M. B. Shtern
Keyword(s):  
Mathematical Model ◽  
Strained State ◽  
Densification Zone

Mathematical model of radiation-induced shape change in fuel subassemblies of the BN-type reactor core and its implementation in ANSYS software package

2019 ◽  
pp. 190-199
Author(s):  
A. V. Ryabtsov ◽  
O. Yu Vilensky
Keyword(s):  
Mathematical Model ◽  
Software Package ◽  
Shape Change ◽  
Reactor Core ◽  
Structural Materials ◽  
Operating Conditions ◽  
Strained State ◽  
Ansys Software ◽  
Radiation Induced ◽  
Reactor Cores

One of main operability criteria for fuel subassemblies (FSAs) in fast sodium reactor cores, i.e. the criterion of tolerable shape change in hexagonal wrapper tube is formulated. The equations which enable one to inquire into kinetics of the stress-strained state of a three-dimensional body are adapted to FSAs operating conditions. A mathematical model of radiation-induced shape change in ferritic-martensitic steel of grade EP-450 is proposed. With regard to the proposed model and data on the radiation-induced shape change in other current and prospective structural materials of BN reactor cores, blocks for recording of radiation-induced swelling and radiation-induced creep are developed for ANSYS software package, which made it possible to utilize its potentials within this area of focus. The performed test case with proposed models of the radiation-induced swelling and radiation-induced creep demonstrates that the developed blocks sufficiently describe the radiation-induced shape change in the examined structural materials exposed to radiation. A calculation of the radiation-induced shape change in the FSA hexagonal wrapper tube with various speeds of the radiation-induced swelling and the radiation-induced creep moduli is performed. The calculations results and the results of FSAs post-irradiation dimension inspection are compared. Recommendations for use of the proposed models aimed at performing calculations, as well as estimating the radiation-induced shape change and defining the stress-strained state of FSAs are made.

scholarly journals CALCULATION OF WATER SATURATED FOUNDATION UNDER THE OIL-AND GAS FIELDS FACILITIES

2016 ◽  
pp. 110-113
Author(s):  
T. V. Maltseva ◽  
T. V. Saltanova ◽  
A. N. Kraev ◽  
V. V. Mironov
Keyword(s):  
Mathematical Model ◽  
Oil And Gas ◽  
Numerical Solutions ◽  
Strained State ◽  
Mineral Particles ◽  
Oil And Gas Fields ◽  
External Forces ◽  
Water Saturated ◽  
Gas Fields ◽  
The Impact

The influence of facilities on the foundation made of water saturated ground is studied in view of the impact of various external forces on the foundation. The developed mathematical model of the stress-strained state of the system «facility - foundation» enables to determine maximal stresses and strains occurred in the foundation. The numerical solutions were obtained using the modified finite-element method which took into account the impact of the pore water on the strain characteristics of the ground mineral particles.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model

Imprecision of Laboratory Determinations and Diagnostic Accuracy: Theoretical Considerations

1974 ◽  
Vol 13 (03) ◽  
pp. 151-158 ◽  
Author(s):  
D. A. B. Lindbebo ◽  
Fr. R. Watson
Keyword(s):  
Mathematical Model ◽  
Diagnostic Accuracy ◽  
Diagnostic Process ◽  
Clinical Laboratories ◽  
Non Linear ◽  
Theoretical Considerations ◽  
Made In

Recent studies suggest the determinations of clinical laboratories must be made more precise than at present. This paper presents a means of examining benefits of improvement in precision. To do this we use a mathematical model of the effect upon the diagnostic process of imprecision in measurements and the influence upon these two of Importance of Diagnosis and Prevalence of Disease. The interaction of these effects is grossly non-linear. There is therefore no proper intuitive answer to questions involving these matters. The effects can always, however, be calculated.Including a great many assumptions the modeling suggests that improvements in precision of any determination ought probably to be made in hospital rather than screening laboratories, unless Importance of Diagnosis is extremely high.

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