scholarly journals Existence for a Quasi-Static Interaction Problem Between a Viscous Fluid and an Active Structure

2021 ◽  
Vol 23 (2) ◽  
Author(s):  
Céline Grandmont ◽  
Fabien Vergnet
Keyword(s):  
Viscous Fluid ◽  
Active Structure ◽  
Static Interaction ◽  
Interaction Problem

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.

scholarly journals Natural Frequencies of a Cracked Beam Coupled with a Compressible Sloshing Fluid

2004 ◽  
Vol 11 (3-4) ◽  
pp. 505-519 ◽  
Author(s):  
Michele Di Sciuva ◽  
Cecilia Surace
Keyword(s):  
Boundary Condition ◽  
Viscous Fluid ◽  
Natural Frequencies ◽  
Flexural Vibration ◽  
Coupled System ◽  
Cracked Beam ◽  
Structure Interaction ◽  
Linear Fracture ◽  
Cantilevered Beam ◽  
Interaction Problem

This article describes studies into the flexural vibration of a cracked cantilevered beam in contact with a non-viscous fluid. The crack has been represented by a mass-less rotational spring, the flexibility of which has been calculated using linear fracture mechanics. The coupled system is subject to undisturbed boundary condition at infinity in the fluid domain. A range of different boundary conditions have been analysed such as both incompressible and compressible fluid, with and without sloshing. Various crack sizes and positions have been considered in order to assess the effect of damage in the fluid-structure interaction problem.

Asymptotic analysis of a thin rigid stratified elastic plate – viscous fluid interaction problem

2016 ◽  
Vol 95 (7) ◽  
pp. 1467-1506 ◽  
Author(s):  
Irina Malakhova-Ziablova ◽  
Grigory Panasenko ◽  
Ruxandra Stavre
Keyword(s):  
Viscous Fluid ◽  
Asymptotic Analysis ◽  
Elastic Plate ◽  
Fluid Interaction ◽  
Interaction Problem
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