Simulation of harmonic vibrations and dissipative heating of layered viscoelastoplastic piezoelectric shell (Q2771585)
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scientific article; zbMATH DE number 1705819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simulation of harmonic vibrations and dissipative heating of layered viscoelastoplastic piezoelectric shell |
scientific article; zbMATH DE number 1705819 |
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17 February 2002
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piezoelectric shell
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viscoelastoplasticity
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harmonic vibrations
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dissipative heating
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Bodner-Partom model
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Kirchoff-Love hypotheses
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finite element method
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Simulation of harmonic vibrations and dissipative heating of layered viscoelastoplastic piezoelectric shell (English)
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A model of vibrations and heating of shells which are structurally-inhomogeneous along thickness is presented. Shells consist of viscoelastoplastic passive layers and viscoelastic piezoactive layers. For modeling viscoelastoplastic behavior of passive layers, the Bodner-Partom model is used. For small deformations linear kinematic relationships of the Kirchhoff-Love type are used. A nonlinear system of resolving differential equations for stress resultants and temperature under corresponding boundary and initial conditions is derived. Iterative procedures for solution of this system that reduce the nonlinear boundary-value problem to a sequence of linear ones are derived. The latter are solved by the finite element method.
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