Enhancing strength-ductility synergy of materials has been for decades an objective of
research on structural metallic materials. It has been shown by many researchers that …

The need for a reliable prediction of the distribution of microstructural parameters in metallic
materials during processing was the motivation for this work. The model describing the …

In this paper we address the existence, uniqueness and approximation of solutions of delay
differential equations (DDEs) with Carathéodory type right-hand side functions. We provide …

Construction metallic materials combine strength with formability. These features are
obtained for heterogeneous microstructures with hard constituents dispersed in a soft matrix …

Modern construction materials, including steels, have to combine strength with good
formability. In metallic materials, these features are obtained for heterogeneous multiphase …

Continuous development of the transport industry is associated with the search for new
construction materials that combine high strength with good plastic properties. Intensive …

Microstructure evolution model based on the differential equation describing evolution of
dislocations was proposed. Sensitivity analysis was performed and parameters with the …

In this paper we investigate the existence, uniqueness and approximation of solutions of
delay differential equations (DDEs) with the right-hand side functions $ f= f (t, x, z) $ that are …

We investigate error of the Euler scheme in the case when the right-hand side function of the
underlying ODE satisfies nonstandard assumptions such as local one-sided Lipschitz …

It is generally recognized that the kinetics of phase transformations during the cooling of
steel products depends to a large extent on the state of the austenite after rolling. Austenite …