Mechanics

Stress of Heavy-Wall Tubing Cylindrical Pipes Taking into Account the Gravity for Materials with Difficult Rheology

Authors: Sporykhin A. N., Gotsev D. V., Plotnikov L. G.

Within a method of small parametre the field of stresses of heavy tubing cylindrical pipes is investigated at modelling of a material by the incompressible elasticis viscous-plastic environment. The estimation of influence on size of a plastic zone physicomechanical design parametres is given.

Boundary Properties of Generalized Cauchy Type Integrals in the Space of Smooth Functions

Authors: Soldatova T. A.

The generalized Cauchy type integrals which kernel depends on the difference of arguments are considered on the smooth contour. These integrals cover as potentials of double layer for second order elliptic equations as generalized Cauchy type integrals for first order elliptic systems on the plane. In the paper the sufficient conditions such that these integrals belong C n,μ up to the boundary are found.

Creeping Flow of Viscoelastic Fluid with Free Surface at Non-Isothermal Condition

Authors: Snigerev B. A., Aliev K. M., Tazyukov F. K.

Numerical simulation flow of viscoelastic fluid with free surface, which is realized in entrance and output flow in extrusion die was performed. The flow of liquid is described by equations of conservation of mass, momentum and thermal energy with rheological constitutive equation of Giesekesus. On basis of finite element method the stable numerical scheme was developed to solve this problem. Different numerical experiments was performed to define the configuration of outflow jet in various regimes and construction of die.

Finite Integral Transformations Method — Generalization of Classic Procedure for Eigenvector Decomposition

Authors: Senitsky Y. E.

The structural algorithm of the finite integral transformation method is presented as a generalization of the classical procedure of eigenvector decomposition. The initial-boundary problems described with a hyperbolic system of linear partial second order differential equations are considered. The general case of non-self adjoint solution by expansion in the vector-functions is possible only by the use of biorthogonal of finite integral transformations.