Block Element Method for Solving Integrated Equations of Contact Problems in V-Shaped Regions

2017 ◽  
Keyword(s):  
Contact Problems ◽  
Block Element ◽  
Block Element Method ◽  
Element Method

Block element method for solving integrated equations of contact problems in wedge-shaped domains

2017 ◽  
Vol 58 (2) ◽  
pp. 301-307
Author(s):  
V. A. Babeshko ◽  
O. V. Evdokimova ◽  
O. M. Babeshko ◽  
A. G. Fedorenko
Keyword(s):  
Contact Problems ◽  
Block Element ◽  
Block Element Method ◽  
Element Method

scholarly journals Modeling of deformation processes in lithospheric structures during their static interaction

2019 ◽  
Vol 23 (Suppl. 2) ◽  
pp. 591-597
Author(s):  
Ilya Telyatnikov
Keyword(s):  
Physical And Mechanical Properties ◽  
Composite Plates ◽  
Surface Load ◽  
Block Element ◽  
Static Interaction ◽  
Surface Displacements ◽  
Deformation Processes ◽  
Block Element Method ◽  
Interaction Problem ◽  
Element Method

We consider a model of lithospheric structures contacting along rectilinear geological faults as a system of composite plates on an elastic foundation. A simplification of the block element method for different-sized blocks is proposed. We also describe an approach that is a modification of the block element method using the method of eigenfunctions. The method is considered on the example of a static interaction problem of extended plates on the surface of an elastic layer for a given surface load. As a result we obtain the representations of solutions describing the surface displacements. The application of the proposed approach will allow us to draw conclusions about the effect of the physical and mechanical properties of lithospheric structures and the type of fault on the nature of displacements in the geological environment which are applicable for studying the structure of faults in the upper part of the earth's crust.

On Simplifying Complex Equations by Applying Block Elements

2020 ◽  
pp. 8-12
Author(s):  
V.A. Babeshko ◽  
O.V. Evdokimova ◽  
O.M. Babeshko
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Block Element ◽  
Helmholtz Equations ◽  
Complex Boundary ◽  
Block Element Method ◽  
Element Method

There are several approaches aimed at simplifying complex partial differential equations or their systems involved in the formulation of boundary value problems by introducing simpler, but in a larger number of differential equations. Their solutions allow us to describe solutions to complex boundary value problems. However, to implement this approach, it is necessary to construct solutions of simplified boundary value problems for arbitrary boundary conditions in solvability spaces boundary value problem. In some cases, this can be done using the block element method. The block element method, which has a topological basis, reveals both global and local properties of solutions to boundary value problems for partial differential equations. At the same time, it can be used to study and solve more complex boundary value problems by applying relations that describe certain equations of the continuum by means of relatively simple equations, for example, Helmholtz. To do this, we need to construct solutions of the Helmholtz equations that satisfy boundary conditions that contain completely arbitrary values, rather than partial values, set at the boundary of functions. In relation to the Helmholtz equations, this is achieved using the block element method. Examples of constructing solutions to boundary value problems for Helmholtz equation for Dirichlet and Neumann problems and a comparative analysis of solutions are given in this article.

Automorphism and pseudo-differential equations in the block-element method

2011 ◽  
Vol 56 (6) ◽  
pp. 348-351 ◽  
Author(s):  
V. A. Babeshko ◽  
O. V. Evdokimova ◽  
O. M. Babeshko
Keyword(s):  
Differential Equations ◽  
Block Element ◽  
Block Element Method ◽  
Element Method

Block element method in applications

2012 ◽  
Vol 15 (3-4) ◽  
pp. 206-213 ◽  
Author(s):  
Vladimir A. Babeshko ◽  
O. M. Babeshko ◽  
O. V. Evdokimova
Keyword(s):  
Block Element ◽  
Block Element Method ◽  
Element Method

The Block-Element Method in Expansion of the Solutions of Complex Boundary-Value Problems in Mechanics

2020 ◽  
Vol 65 (12) ◽  
pp. 431-435
Author(s):  
V. A. Babeshko ◽  
O. V. Evdokimova ◽  
O. M. Babeshko ◽  
V. S. Evdokimov
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Block Element ◽  
Complex Boundary ◽  
Block Element Method ◽  
Element Method

On the block element method in nonstationary problems

2011 ◽  
Vol 46 (2) ◽  
pp. 225-229
Author(s):  
V. A. Babeshko ◽  
O. M. Babeshko ◽  
O. V. Evdokimova
Keyword(s):  
Block Element ◽  
Block Element Method ◽  
Element Method
Sign in / Sign up

Export Citation Format

Share Document