Features of Subsonic Stage of Contact Interaction of Viscoelastic Half-Plane and Absolutely Rigid Striker

  • Ekaterina KorovaytsevaEmail author
  • Dmitry Tarlakovskii
Conference paper
Part of the Structural Integrity book series (STIN, volume 8)


Non-stationary dynamic contact problem for viscoelastic half-plane and absolutely rigid striker at subsonic stage of interaction is considered. Viscoelastic properties of half-plane material are described by exponential relaxation kernel. Free slipping is considered as contact boundary condition. Green function for normal displacement at the boundary of the half-plane is obtained using generalized convolution method. The resolving equation system consists of the striker motion equation, integral representation of half-plane boundary normal displacement, contact area boundary equation and the relation connecting half-plane boundary normal displacement and striker displacement. Equation system is solved numerically by meshing integration area and constructing equations difference scheme. The solution of the problem is obtained for the case of three types of surfaces constraining the striker: parabolic, circular and hyperbolic cylinders. Time dependencies of the striker velocity, resulting force for contact stresses and radius and contact area expansion velocity are obtained. The influence of relaxation kernel parameters on the mentioned contact interaction characteristics is analyzed.


Viscoelasticity Contact problem Half-plane Absolutely rigid striker Green function 



The reported study was funded by RFBR and Moscow city Government, according to the research project No. 19-38-70005 mol_a_mos.


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of Mechanics, Lomonosov Moscow State UniversityMoscowRussia

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