The Model of Thin Electromagnetoelastic Shells Dynamics

  • V. A. VestyakEmail author
  • D. V. Tarlakovskii
Conference paper
Part of the Structural Integrity book series (STIN, volume 8)


Interacting with electromagnetic field, thin linear elastic homogeneous anisotropic shell with a smooth median surface is exploring. The equations of its movement are used, taking into account the rotation of the normal fiber and compression. The components of the electromagnetic field together with the Maxwell equations and the generalized Ohm’s law are linearized along the transverse coordinate. In the surface pressure on the shell and the momentum per unit area, electromagnetic components are distinguished, they are found using the expression for the Lorentz force. Physical law for the shell, taking into account piezoelectric effects, closes the system of equations. A special case of equations for an isotropic shell is given.


Electromagnetoelasticity Coupled problems Time-dependent axisymmetric problems Green’s functions 


  1. 1.
    Mikhailova E.Y., Tarlakovskii D.V., Fedotenkov G.V.: General theory of elastic shells: Tutorial. MAI, 112p. (2018) (in Russian)Google Scholar
  2. 2.
    Tarlakovskii, D.V., Vestyak, V.A., Zemskov, A.V.: Dynamic Processes in Thermo-Ectro-Magneto-Elastic and Thermo-Elasto-Diffusive Media. Encyclopedia of Thermal Stresses, vol. 2, pp. 1064–1071. Springer, Dordrecht, Heidelberg, New York, London (2014)CrossRefGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Moscow Aviation Institute (National Research University)MoscowRussia
  2. 2.Institute of MechanicsLomonosov Moscow State UniversityMoscowRussia

Personalised recommendations