Mechanics

Warning message

Numerical analysis of renal artery pathologies

Authors: Schuchkina O. A., Голядкина А. А., Aristambekova A. V., Potapov D. Y.

 Mathematical modeling based on experimental data (ultrasonic imaging, angiography, 3D reconstruction via spiral computed tomography) was performed. Anatomically precise model of renal artery was created. Basic principles of blood flow dynamics with stressstrain state of artery walls were studied for normal, pathologic renal arteries and arteries with hemostasis of intraorganic branches. 

Graph approach for finite-element based model of an elastic body under conditions of axisymmetric deformation

Authors: Tirimov A. A.

 A numerical method for analysis of the stress – strain state of elastic media based on a discrete model in form of directed graph is suggested. To analyze a deformable body using the graph approach, we partitione a solid body on elements and replace each element by its model in the form of an elementary cell. The matrices, presenting several structure elements of the graph, and the equations, describing the elementary cells, contribute to deriving the constitutive equations of the intact body.

The transformation of longitudinal the strain wafe having a linear form and increasing intensity in conjugation of rods with elastic gacket

Authors: Manzhosov V. K., Novikova I. A.

The paper gives a review of transformation of longitudinal strain wave at the boundary of heterogeneous rods with elastic gasket. The article describes a technique for calculating the transformation of the strain wave of linear form. Parameters of the wave, which have passed through connection of rods are defined. 

The conformal contact between punches and coated solids with complicated surface profile

Authors: Manzhirov A. V., Kurdina S. P., Kuchumov A. G.

The contact interaction between system of rigid punches and viscoelastic foundations with thin coatings for the cases in which the punches and coating surfaces are conformal (mutually repeating) is studied. Such problems can arise, for example, when the punch immerses into a solidifying coating before its complete solidification. The shapes of punches surfaces could be described by a fast oscillating functions. Basic system of mixed integral equation is obtained.

Theoretical investigation of the deformed graphene nanostructures

Authors: Kirillova I. V., Shunaev V. V.

 The results of the theoretical investigations of properties of the deformed graphene structures are presented in this work. We investigated mechanical properties of the bi-layer graphene structures by means of the molecular dynamics method. To evaluate mechanical properties of graphene we applied a compression load to graphene. As a result of the investigations it was found that graphene became a wave-like with the increase of the compression.

Mechanical properties study for graphene sheets of various size

Authors: Kirillova I. V., Kossovich E. L., Fadeev A. A.

We studied mechanical properties of large graphene sheets. The Young's modulus was found for each of the considered nanoparticles and sheets. To this end, the deformation was applied in two orthogonal directions – zigzag and armchair directions of the graphene atomic framework. It was established that there exist a size effect on the Young's modulus of graphene.

Local effects of the weak thermogravitational convective flows

Authors: Otpushchennikov S. V.

The features of the natural low intensity thermo-gravitational convection occurring in microacceleration condition have been investigated numerically. The effect of thermal boundary conditions on the local characteristics of temperature field has also been studied. It was shown that the value of maximum temperature stratification depends monotonically on the intensity of heat transfer at the system boundaries.