Modeling of contact interaction of piezoelectric half-space and elastic isotropic base with surface groove of circular section

Authors

  • Vitaly Kirilyuk The Department of Mechanics stochastically inhomogeneous mediums, S.P. Timoshenko Institute of mechanics NAS of Ukraine, Kyiv, Ukraine, Ukraine https://orcid.org/0000-0002-8513-0378
  • Olga Levchuk The Department of Mechanics stochastically inhomogeneous mediums, S.P. Timoshenko Institute of mechanics NAS of Ukraine, Kyiv, Ukraine, Ukraine https://orcid.org/0000-0002-6514-6225

DOI:

https://doi.org/10.20535/SRIT.2308-8893.2016.4.12

Keywords:

mathematical modeling, coupled system of electroelasticity equations, piezoelectric half-space, elastic isotropic base, sloping axially symmetric groove, two solution algorithms, contact parameters, influence of connectedness of fields

Abstract

The mathematical model for the contact interaction under the compression of an electroelastic half-space with the elastic isotropic base containing a sloping groove of a circular section was developed. The model takes in account the connectedness of the electroelastic equations system. Two algorithms for solving the problem were proposed, which were based on the representation of solutions of the electroelasticity equations. The analytical problem solution was found, geometrical parameters of clearance between the electroelasticity half-space and deformable base under the known compression were obtained. The influence of connectedness of force and electricity fields on contact parameters of bodies was investigated.

Author Biographies

Vitaly Kirilyuk, The Department of Mechanics stochastically inhomogeneous mediums, S.P. Timoshenko Institute of mechanics NAS of Ukraine, Kyiv, Ukraine

Vitaly Kirilyuk,

Doctor of Physical-Mathematical Sciences (Dr. Sci), Leading Researcher of the Department of Mechanics stochastically inhomogeneous mediums, S.P. Timoshenko Institute of mechanics NAS of Ukraine, Kyiv, Ukraine.

Olga Levchuk, The Department of Mechanics stochastically inhomogeneous mediums, S.P. Timoshenko Institute of mechanics NAS of Ukraine, Kyiv, Ukraine

Olga Levchuk,

Candidate of Physical-Mathematical Sciences (Ph.D.), Senior researcher of the Department of Mechanics stochastically inhomogeneous mediums, S.P. Timoshenko Institute of mechanics NAS of Ukraine, Kyiv, Ukraine.

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Published

2016-12-15

Issue

Section

Mathematical methods, models, problems and technologies for complex systems research