Year 2023

• Anti-plane shear waves in an elastic strip rigidly attached to an elastic half-space

  Publication

  • G. Mikhasev
  • B. Erbas
  • V. Eremeev

  - INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE - Year 2023

  We consider the anti-plane shear waves in a domain consisting of an infinite layer with a thin coating lying on an elastic half-space. The elastic properties of the coating, layer, and half-space are assumed to be different. On the free upper surface we assume the compatibility condition within the Gurtin–Murdoch surface elasticity, whereas at the plane interface we consider perfect contact. For this problem there exist two possible...

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Year 2022

• Anti-plane waves in an elastic thin strip with surface energy

  Publication

  • G. Mikhasev
  • M. Botogova
  • V. Eremeev

  - PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES - Year 2022

  We consider anti-plane motions of an elastic plate taking into account surface energy within the linear Gurtin–Murdoch surface elasticity. Two boundary-value problems are considered that describe complete shear dynamics of a plate with free faces or with free and clamped faces, respectively. These problems correspond to anti-plane dynamics of an elastic film perfectly or non-perfectly attached to a rigid substrate. Detailed analysis...

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Year 2021

• On the influence of a surface roughness on propagation of anti-plane short-length localized waves in a medium with surface coating

  Publication

  • G. Mikhasev
  • M. Botogova
  • V. Eremeev

  - INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE - Year 2021

  We discuss the propagation of localized surface waves in the framework of the linear Gurtin–Murdoch surface elasticity and taking into account a roughness of a free boundary. We derive a boundary-value problem for anti-plane motions with curvilinear boundary and surface stresses. Using the asymptotic technique developed earlier, we obtain the form of a localized wave and analyze its amplitude evolution. As the main result we present...

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Year 2019

• Assessment of dynamic characteristics of thin cylindrical sandwich panels with magnetorheological core

  Publication

  • G. Mikhasev
  • V. Eremeev
  • K. Wilde
  • S. Maevskaya

  - JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES - Year 2019

  Based on the equivalent single-layer linear theory for laminated shells, free and forced vibrations of thin cylindrical sandwich panels with magnetorheological core are studied. Five variants of available magnetorheological elastomers differing in their composition and physical properties are considered for smart viscoelastic core. Coupled differential equations in terms of displacements based on the generalized kinematic hypotheses...

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