Приведена математическая модель, которая позволяет оценить свойства быстрорежущей стали в зависимости от ее структурного состояния (содержания углерода в твердом растворе, объемной доли карбидов отпуска, их среднего размера, количества остаточного аустенита). Для достижения максимальных свойств предложена лазерная термическая обработка стали.

A new type of vibrating states caused by the electrode edge in a piezoelectric resonator is found. The relevant vibrations are localized near the electrode edge having a peculiarity of the frequency spectrum, that is, a nonlinear dependence of the squared frequency on wave numbers. The proposed mathematical model of the resonator with a convex piezoelectric plate allows studying of the eigenvibrations with an arbitrary electrode shape.

We propose a hydrodynamic model adequately describing the technological process of continuous casting of the billets of non-ferrous metals and alloys. The full system of differential equations with the corresponding boundary conditions forming the basis of the given model is formulated and solved. A close fit of the theory with experimental data is got.