Peter V. Trusov

TL;DR: In this paper, a general formulation of multilevel models of inelastic deformation of materials is applied to the description of their internal structure evolution, and an original variant of making constitutive relations of differing scale (differently scaled one-type characteristics) consistent is proposed; the consistency simultaneously provides unambiguous description of macroscale geometric nonlinearity by specifying the Cauchy stress tensor derivative independent of the choice of a reference frame.

TL;DR: In this article, a review of works on the development and application of multiscale physical models to analyzing the behavior of single and polycrystals under severe plastic deformation is presented.

TL;DR: A brief review of multilevel models that allow the description of deformation of single and polycrystals and their microstructure evolution is given in this paper, where a statistical determination of characteristics of higher levels by appropriate characteristics of lower levels.

TL;DR: In this article, it is shown that the use of the Zaremba-Jaumann derivative in constitutive relations corresponds to motion decomposition by the Cauchy-Helmholtz theorem according to which instantaneous rigid rotation of a material particle with small neighborhood is described by the vorticity tensor.

TL;DR: The paper describes some aspects related to modeling multiphase flow in the antroduodenal portion of the gastrointestinal tract and outlines some results concerning influence of secretory function disorders on food dissolution rate and tract contents acidity.