New partitioning perturbation theory. 2 - Example of almost degeneracy
Degeneracy applications to partitioning perturbation theory - Part 2
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Degeneracy applications to partitioning perturbation theory - Part 2
Partitioning perturbation theory applied to electron exchange problems - Part 3
Internal energy partition function of atom or ion immersed in plasma - astrophysical application
Energy partitioning process under strong shielding with debris acting as energy sink
Partitioning formalism for degenerate, almost degenerate and electron exchange perturbation problems
Coupled simple harmonic oscillators with almost degenerate energy levels, comparing partitioning perturbation techniques with Rayleigh- Schroedinger approach
Partitioning perturbation theory for electron exchange problems, generalizing Hirschfelder- Silbey formalism
Partition functions and equations of state of He, H, N, O, Ne, Ar, and solar plasmas - tables
Tetrahedral molecules quantum mechanical rotational partition function, nuclear spin statistical weight factors and error bounds
Cations partitioning between coexisting single and multisite phases in pyroxenes and olivines
Ionizing plasmas partition functions, determining opacities and equations of state
Creep-fatigue analysis by strain range partitioning, considering metals inelastic deformation at high temperature due to plastic flow
Nitrous oxide internal and rotational partition functions for temperature range 200 to 350 K, using molecular constants tabulated by Pliva
Molecular weight fractions of linear polyethylene were irradiated at 133 C, in the completely molten and highly crystalline states, for the purpose of assessing the importance of chain-scission processes and establishing the critical conditions for gelation. The partitioning between sol and gel in either state was found to adhere to the theory for the intermolecular cross-linking of monodisperse species for dosages just beyond the gel point. Deviations from theory occurred as the dosage was increased further. It was concluded that main-chain scission, at these temperatures, is not a significant process. High molecular weight samples in the completely molten state obeyed the Flory-Stockmayer condition for critical gelation.
Investigation of the importance of chain-scission processes and of the applicability of the general theory of network formation to polyethylene with respect to critical conditions for gelation, using molecular weight fractions of linear polyethylene irradiated at 133 C. The partitioning between sol and gel was found to adhere to the theory just beyond the gel point. Deviations from theory occurred as the irradiation dosage was increased. It was concluded that main-chain scission at the temperatures concerned is not a significant process.
The framework of a new method is outlined for treating creep-fatigue behavior of metals. Inelastic strain-ranges are partitioned into the components of (1) completely reversed plasticity, (2) tensile plasticity reversed by compressive creep, or tensile creep reversed by compressive plasticity, and (3) completely reversed creep. Each of these components is shown to be related to cyclic life by a Manson-Coffin type power-law equation. A linear life fraction rule is used to combine the damaging effects of the individual components enabling the prediction of life. Test results are presented for a 2.25 Cr-1 Mo steel as well as limited information for a Type 316 stainless steel.
Strainrange Partitioning provides unifying framework for characterizing high-temperature, low-cycle, creep-fatigue properties of metals and alloys. Method offers distinct advantage to designers of immediately providing reliable upper and lower bounds on cyclic life for any type of inelastic strain cycle that may be encountered in service.
The strainrange partitioning concept divides the imposed strain into four basic ranges involving time-dependent and time-independent components. It is shown that some of the results presented at the symposium can be better correlated on the basis of this concept than by alternative methods. It is also suggested that methods of data generation and analysis can be helpfully guided by this approach. Potential applicability of the concept to the treatment of frequency and hold-time effects, environmental influence, crack initiation and growth, thermal fatigue, and code specifications are briefly considered. A required experimental program is outlined.