COUPLED PROBLEMS OF INTERACTION OF DEFORMABLE BODIES AND LIQUID OF HIGH PRESSURE

Authors

  • Kseniia Shumelchyk Oles Honchar Dnipropetrovsk National University,
  • Vasily Kuzmenko Oles Honchar Dnipropetrovsk National University,

DOI:

https://doi.org/10.7494/mech.2013.32.4.136

Keywords:

elastic body, compressible liquid, plane deformation, variational problems, iterative process of splitting

Abstract

Nowadays the problems of interaction between solids and liquid under high and extremely high pressure are fairly relevant. So the main aim of presented research work is: creating the mathematical models and methods to investigate the interaction of bodies that include cracks filled with a compressible liquid or gas. The coupled problem of interaction of nonlinear elastic bodies and liquid of high pressure was considered. The pressure exerted by a liquid or gas present in the cavities of solids depends on the deformation of the body. In turn the deformation is caused by the pressure inside the cavity. The interaction between a deformable body and liquid is presented as a variational problem. The iterative splitting process of the coupled problem was proposed as well as the algorithm of numerical solution based on variational approach and finite element method. The software which allows calculating the stress state of an elastic body for some classes of problems was developed basing on the algorithm of splitting. The plane problem with cavity
and solid stamp which imposes pressure on the boundary was considered and the numerical solution was computed using created software.

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References

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Shumelchyk K., Kuzmenko V. 2013, Deformation of elastic body with cracks filled with a compressible liquid in a gravitational forces field. Vistnik of Oles Honchar Dnipropetrovsk National University, Mech. Series 17, Vol. 2, pp. 168–176.

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Issue

Vol. 32 No. 4 (2013)

Section

Articles

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