Zen law and features of liquidus-solidus curves in binary state diagrams based on elements VIIIA and IB of the periodic table

The paper presents the analysis of binary state diagrams based on elements VIIIA and IB of the periodic table and crystal geometry parameters of solid solutions and intermetallic compositions. The analysis shows an explicit correlation between the type of the evolution of phase diagrams classified by Lebedev depending on the nature of atomic volume deviations observed in solid solutions and intermetallic compounds from Zen law

Dislocation structure and deformation hardening alloy fcc single crystals at the mesolevel

The article presents the evaluation results of impacts of various strengthening mechanisms to flow stress. Such evaluations were made on the basis of the measured parameters of the dislocation substructure formed in monocrystals of [001]-Ni3Fe alloy deformed by compression within the stage II. It was found that the main impact to deformation resistance in the alloys with net substructure is made by the mechanism of dislocation impediment, which is caused by contact interaction between moving dislocations and forest dislocations

Dislocation structure and deformation hardening alloy fcc single crystals at the mesolevel

The article presents the evaluation results of impacts of various strengthening mechanisms to flow stress. Such evaluations were made on the basis of the measured parameters of the dislocation substructure formed in monocrystals of [001]-Ni3Fe alloy deformed by compression within the stage II. It was found that the main impact to deformation resistance in the alloys with net substructure is made by the mechanism of dislocation impediment, which is caused by contact interaction between moving dislocations and forest dislocations

SPECTRAL PROBLEMS ON COMPACT GRAPHS

The method of nding the eigenvalues and eigenfunctions of abstract discrete semibounded operators on compact graphs is developed. Linear formulas allowing to calculate the eigenvalues of these operators are obtained. The eigenvalues can be calculates starting from any of their numbers, regardless of whether the eigenvalues with previous numbers are known. Formulas allow us to solve the problem of computing all the necessary points of the spectrum of discrete semibounded operators dened on geometric graphs. The method for nding the eigenfunctions is based on the Galerkin method. The problem of choosing the basis functions underlying the construction of the solution of spectral problems generated by discrete semibounded operators is considered. An algorithm to construct the basis functions is developed. A computational experiment to nd the eigenvalues and eigenfunctions of the Sturm Liouville operator dened on a two-ribbed compact graph with standard gluing conditions is performed. The results of the computational experiment showed the high effciency of the developed methodsРазработана методика нахождения собственных чисел и собственных функций абстрактных дискретных полуограниченных операторов, заданных на компактных графах. Получены линейные формулы, позволяющие с высокой вычислительной эффективностью вычислять собственные значения этих операторов, начиная с любого их номера, независимо от того, известны ли собственные значения с предыдущими номерами. Данные формулы решают проблему вычисления всех необходимых точек спектра дискретных полуограниченных операторов, заданных на геометрических графах. Собственные функции находятся на основе метода Галеркина. Рассмотрен вопрос выбора базисных функций, лежащих в основе построения решения спектральных задач, порожденных дискретными полуограниченными операторами, и приводится алгоритм их построения. Проведен вычислительный эксперимент по нахождению собственных чисел и собственных функций оператора Штурма - Лиувилля, заданного на двухреберном компактном графе со стандартными условиями склейки. Результаты вычислительных экспериментов показали высокую эффективность разработанной методики