Analysis of a quasistatic contact problem for piezoelectric materials (Q549806)
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scientific article; zbMATH DE number 5925588
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analysis of a quasistatic contact problem for piezoelectric materials |
scientific article; zbMATH DE number 5925588 |
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Analysis of a quasistatic contact problem for piezoelectric materials (English)
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18 July 2011
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The paper presents a mathematical model describing the frictional contacts between a piezoelectric body and an electrically conductive foundation. The process is quasistatic, the material behavior is modeled with an electro-viscoelastic constitutive law, and the contact is described by subdifferential boundary condition. A variational formulation of the problem is derived, which has the form of a system involving two history-dependent hemivariational inequalities, in which the unknowns are the velocity and the electric potential field. The main result is the proof of the existence of a unique weak solution to the model.
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piezoelectricity
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electro-viscoelastic material
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quasistatic process
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frictional contact
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Clarke subdifferential
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history-dependent hemivariational inequality
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weak solution
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0.9310657
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0.9303728
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0.92845845
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0.92559946
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0.92370796
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