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Composites: Mechanics, Computations, Applications: An International Journal
Главный редактор: Alexander N. Vlasov (open in a new tab)

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ISSN Печать: 2152-2057

ISSN Онлайн: 2152-2073

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ELECTROMAGNETIC RESPONSE OF LAYERED MAGNETO-ELECTRO-ELASTIC THIN RECTANGULAR PLATE UNDER MODERATELY LARGE DEFLECTION

Том 13, Выпуск 1, 2022, pp. 25-48
DOI: 10.1615/CompMechComputApplIntJ.2021040327
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Краткое описание

The analytical solution of a layered thin magneto-electro-elastic rectangular plate is presented. The governing equation is based on classical laminate plate theory and von Karman's stress function; capturing the effects of moderately large deflection. Electromagnetic fields are determined in terms of mechanical unknowns by solving Maxwell's equations of electrostatics and magnetostatics. The condensation of the electric and magnetic state into plate kinematics, coupled with a stress function definition, derives the governing nonlinear partial differential equation of motion. Solution for both simply supported and clamped transverse boundary conditions is obtained using the Galerkin method, which reduces the system into an ordinary differential equation of cubic and quadratic nonlinearity. Numerical results of the laminated plate with constituent piezoelectric BaTiO3 and piezomagnetic CoFe2O4 is produced utilizing electromagnetic boundary and continuity conditions. The effect of transverse elastic boundary condition on through the thickness variation of electric and magnetic potential under linear and moderately large deflection is produced.

Figures

  • Laminate geometrical scheme
  • Comparison of through the thickness distribution of electric potential () and magnetic
potentials ( ) of B=F=B unit length square plate at in-plane coordinate (0.5a, 0.5b) with a=h =
1000 under linear deflection
  • Comparison of through the thickness distribution of electric potential () and magnetic
potentials ( ) of B=F=B unit length square plate at in-plane coordinate (0.5a, 0.5b) with a=h =
1000 under moderately large deflection
  • Through the thickness distribution of electric potential () and magnetic potentials ( )
of B=F=B unit length square plate at in-plane coordinate (0.5a, 0.5b) with a=h = 1000
  • Through the thickness distribution of electric potential () and magnetic potentials ( )
of B=F=B unit length square plate at in-plane coordinate (0:5a, 0:5b) with a=h = 100
  • Through the thickness distribution of electric potential () and magnetic potentials ( )
of F=B=F unit length square plate at in-plane coordinate (0.5a, 0.5b) with a=h = 1000
  • Through the thickness distribution of electric potential () and magnetic potentials ( )
of F=B=F unit length square plate at in-plane coordinate (0.5a, 0.5b) with a=h = 100
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