On the Mathematical Modeling of Loading High-Speed Material at the Department of Physical Mechanics, St. Petersburg State University

Морозов, В. А.; Bogatko, V. I.; Yakovlev, A. B.

doi:10.1134/s1063454120040081

Cited by 3 publications

(2 citation statements)

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“…The wetting behavior of solid surfaces also has high economic value in industry, and the flow mechanism and physical mechanism of moving contact lines on rough surfaces can give guidance and optimization solutions to industrial problems [2]. Although the motion of the contact line is controlled by the molecular force between the two-phase fluid and the solid, it has a significant impact on the macroscopic motion of the fluid, that is, the change of the moving contact line will bring about different flow mechanisms [3][4]. In addition, all substrate surfaces in nature have rough textures at the microscopic scale, and in practical engineering applications and industrial production, roughness is an important factor that has to be considered.…”

Section: Introductionmentioning

confidence: 99%

Physical and Mechanical Analysis of Moving Contact Line

2022

IJFET

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As a typical moving contact line problem, the industrial coating and coating problem has a very important application. The purpose of this paper is to study the physico-mechanical analysis of moving contact lines. The research background and significance of the moving contact line problem are given, the research progress of the plate pull-up coating is reviewed, and the research status of the moving contact line problem on the chemically uneven surface is given. The tilt-pulling problem of chemically inhomogeneous surfaces with horizontal fringe distribution is studied. Numerical simulations investigate the effects of different strip widths on the dynamic behavior of the contact line and the evolution of the liquid film morphology. The effects of the plate width and the angle between the plate edge and the pulling direction on the critical state of the wetting transition, the dynamic process of the inclined contact line and the evolution of the liquid film morphology were investigated. When the widths of the hydrophilic and hydrophobic strips are sufficiently small, both the critical velocity of the wetting transition and the dynamic evolution process of the contact line and the liquid film are the same as the uniform surface results with the equilibrium contact angle being the predicted value of Cassie theory.

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Section: Introductionmentioning

confidence: 99%

Physical and Mechanical Analysis of Moving Contact Line

2022

IJFET

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“…Morozov and Yu.V. Petrov [7,8]; and under cyclic loading by modified criterion of Carpinteri and Spagnoli [9,10]. For bodies with cracks, methods and criteria of linear and nonlinear fracture mechanics are used [11][12][13][14].…”

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confidence: 99%

Gradient Deformation Criterion of Brittle Fracture. Analytical Grounds and Experimental Confirmation

Kuliev,

Morozov,

Kurbanmagomedov

2023

Preprint

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In the article [1], we propose a new fracture criterion based on the assumption that brittle fracture occurs when the deformation gradient modulus reaches a limit value. We consider in more detail the fact that the modulus of the temperature gradient, and, consequently, that of the deformation, becomes significant in a thin boundary layer where a quick temperature change occurs. We also present the solution of a new thermoelastic problem of a quick temperature change in a circular area. As it turned out, in the case of a curved boundary of the cooled area E2, where E2 is the Euclidean plane, the fracture criterion becomes complicated and gets a form of a limit value of the gradient modulus of the main deformations sum or just of the main stresses sum. Destruction is determined by the criterion the time of which setting in is less. It is also shown in the aticle that in the case of a heated circular area in E2 the criterion for brittle fracture of a continuum medium is the limit value of the gradient modulus of the main deformations sum. The results of the preliminary experiment with organic glass samples during a quick temperature change in the area with a rectilinear boundary are presented. During the experiment, there appeared a crack along the boundary of the temperature leap, although the stresses across this boundary are equal to zero, but there is a significant deformation gradient.

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