Modeling of transient vibrations of flexible layered viscoelastoplastic piezoshells under interaction of electromechanical and thermal fields (Q2759546)

Modelled shells consist of piezoelectric and isotropic viscoelastoplastic layers. Kirchhoff-Love kinematic hypotheses are used and squares of rotation angles of shell elements are taken into account. Viscoelastoplastic properties of material are described by the Bodner-Partom model, where the total deformation is represented as a sum of elastic, viscoplastic and thermal ones: \(\varepsilon= \varepsilon^e +\varepsilon^p +\varepsilon^\theta\). For solution of the derived nonlinear system of equations, some iterative procedures reducing the original problem to a sequence of linear problems are developed. These problems are solved by the finite element method.